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INFORMATIONAL
Independent Submission                                      M. BehringerRequest for Comments: 7980                                     A. RetanaCategory: Informational                                    Cisco SystemsISSN: 2070-1721                                                 R. White                                                                Ericsson                                                               G. Huston                                                                   APNIC                                                            October 2016A Framework for Defining Network ComplexityAbstract   Complexity is a widely used parameter in network design, yet there is   no generally accepted definition of the term.  Complexity metrics   exist in a wide range of research papers, but most of these address   only a particular aspect of a network, for example, the complexity of   a graph or software.  While it may be impossible to define a metric   for overall network complexity, there is a desire to better   understand the complexity of a network as a whole, as deployed today   to provide Internet services.  This document provides a framework to   guide research on the topic of network complexity as well as some   practical examples for trade-offs in networking.   This document summarizes the work of the IRTF's Network Complexity   Research Group (NCRG) at the time of its closure.  It does not   present final results, but a snapshot of an ongoing activity, as a   basis for future work.Status of This Memo   This document is not an Internet Standards Track specification; it is   published for informational purposes.   This is a contribution to the RFC Series, independently of any other   RFC stream.  The RFC Editor has chosen to publish this document at   its discretion and makes no statement about its value for   implementation or deployment.  Documents approved for publication by   the RFC Editor are not a candidate for any level of Internet   Standard; seeSection 2 of RFC 7841.   Information about the current status of this document, any errata,   and how to provide feedback on it may be obtained athttp://www.rfc-editor.org/info/rfc7980.Behringer, et al.             Informational                     [Page 1]

RFC 7980                  Complexity Framework              October 2016Copyright Notice   Copyright (c) 2016 IETF Trust and the persons identified as the   document authors.  All rights reserved.   This document is subject toBCP 78 and the IETF Trust's Legal   Provisions Relating to IETF Documents   (http://trustee.ietf.org/license-info) in effect on the date of   publication of this document.  Please review these documents   carefully, as they describe your rights and restrictions with respect   to this document.Behringer, et al.             Informational                     [Page 2]

RFC 7980                  Complexity Framework              October 2016Table of Contents1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .42.  General Considerations  . . . . . . . . . . . . . . . . . . .52.1.  The Behavior of a Complex Network . . . . . . . . . . . .52.2.  Complex versus Complicated  . . . . . . . . . . . . . . .52.3.  Robust Yet Fragile  . . . . . . . . . . . . . . . . . . .62.4.  The Complexity Cube . . . . . . . . . . . . . . . . . . .62.5.  Related Concepts  . . . . . . . . . . . . . . . . . . . .62.6.  Technical Debt  . . . . . . . . . . . . . . . . . . . . .72.7.  Layering Considerations . . . . . . . . . . . . . . . . .83.  Trade-Offs  . . . . . . . . . . . . . . . . . . . . . . . . .8     3.1.  Control-Plane State versus Optimal Forwarding Paths           (Stretch) . . . . . . . . . . . . . . . . . . . . . . . .93.2.  Configuration State versus Failure Domain Separation  . .10     3.3.  Policy Centralization versus Optimal Policy Application .  12     3.4.  Configuration State versus Per-Hop Forwarding           Optimization  . . . . . . . . . . . . . . . . . . . . . .133.5.  Reactivity versus Stability . . . . . . . . . . . . . . .134.  Parameters  . . . . . . . . . . . . . . . . . . . . . . . . .155.  Elements of Complexity  . . . . . . . . . . . . . . . . . . .165.1.  The Physical Network (Hardware) . . . . . . . . . . . . .165.2.  Algorithms  . . . . . . . . . . . . . . . . . . . . . . .175.3.  State in the Network  . . . . . . . . . . . . . . . . . .175.4.  Churn . . . . . . . . . . . . . . . . . . . . . . . . . .175.5.  Knowledge . . . . . . . . . . . . . . . . . . . . . . . .176.  Location of Complexity  . . . . . . . . . . . . . . . . . . .176.1.  Topological Location  . . . . . . . . . . . . . . . . . .176.2.  Logical Location  . . . . . . . . . . . . . . . . . . . .186.3.  Layering Considerations . . . . . . . . . . . . . . . . .187.  Dependencies  . . . . . . . . . . . . . . . . . . . . . . . .187.1.  Local Dependencies  . . . . . . . . . . . . . . . . . . .197.2.  Network-Wide Dependencies . . . . . . . . . . . . . . . .197.3.  Network-External Dependencies . . . . . . . . . . . . . .198.  Management Interactions . . . . . . . . . . . . . . . . . . .208.1.  Configuration Complexity  . . . . . . . . . . . . . . . .208.2.  Troubleshooting Complexity  . . . . . . . . . . . . . . .208.3.  Monitoring Complexity . . . . . . . . . . . . . . . . . .208.4.  Complexity of System Integration  . . . . . . . . . . . .219.  External Interactions . . . . . . . . . . . . . . . . . . . .2110. Examples  . . . . . . . . . . . . . . . . . . . . . . . . . .2211. Security Considerations . . . . . . . . . . . . . . . . . . .2212. Informative References  . . . . . . . . . . . . . . . . . . .22   Acknowledgements  . . . . . . . . . . . . . . . . . . . . . . . .23   Authors' Addresses  . . . . . . . . . . . . . . . . . . . . . . .24Behringer, et al.             Informational                     [Page 3]

RFC 7980                  Complexity Framework              October 20161.  Introduction   Network design can be described as the art of finding the simplest   solution to solve a given problem.  Complexity is thus assumed in the   design process; engineers do not ask if there should be complexity,   but rather, how much complexity is required to solve the problem.   The question of how much complexity assumes there is some way to   characterize the amount of complexity present in a system.  The   reality is, however, this is an area of research and experience   rather than a solved problem within the network engineering space.   Today's design decisions are made based on a rough estimation of the   network's complexity rather than a solid understanding.   The document begins with general considerations, including some   foundational definitions and concepts.  It then provides some   examples for trade-offs that network engineers regularly make when   designing a network.  This section serves to demonstrate that there   is no single answer to complexity; rather, it is a managed trade-off   between many parameters.  After this, this document provides a set of   parameters engineers should consider when attempting to either   measure complexity or build a framework around it.  This list makes   no claim to be complete, but it serves as a guide of known existing   areas of investigation as well as a pointer to areas that still need   to be investigated.   Two purposes are served here.  The first is to guide researchers   working in the area of complexity in their work.  The more   researchers are able to connect their work to the concerns of network   designers, the more useful their research will become.  This document   may also guide research into areas not considered before.  The second   is to help network engineers to build a better understanding of where   complexity might be "hiding" in their networks and to be more fully   aware of how complexity interacts with design and deployment.   The goal of the IRTF Network Complexity Research Group (NCRG) [ncrg]   was to define a framework for network complexity research while   recognizing that it may be impossible to define metrics for overall   network complexity.  This document summarizes the work of this group   at the time of its closure in 2014.  It does not present final   results, but rather a snapshot of an ongoing activity, as a basis for   future work.   Many references to existing research in the area of network   complexity are listed on the Network Complexity Wiki [wiki].  This   wiki also contains background information on previous meetings on the   subject, previous research, etc.Behringer, et al.             Informational                     [Page 4]

RFC 7980                  Complexity Framework              October 20162.  General Considerations2.1.  The Behavior of a Complex Network   While there is no generally accepted definition of network   complexity, there is some understanding of the behavior of a complex   network.  It has some or all of the following properties:   o  Self-Organization: A network runs some protocols and processes      without external control; for example, a routing process, failover      mechanisms, etc.  The interaction of those mechanisms can lead to      a complex behavior.   o  Unpredictability: In a complex network, the effect of a local      change on the behavior of the global network may be unpredictable.   o  Emergence: The behavior of the system as a whole is not reflected      in the behavior of any individual component of the system.   o  Non-linearity: An input into the network produces a non-linear      result.   o  Fragility: A small local input can break the entire system.2.2.  Complex versus Complicated   The two terms "complex" and "complicated" are often used   interchangeably, yet they describe different but overlapping   properties.  The RG made the following statements about the two   terms, but they would need further refinement to be considered formal   definitions:   o  A "complicated" system is a deterministic system that can be      understood by an appropriate level of analysis.  It is often an      externally applied attribute rather than an intrinsic property of      a system and is typically associated with systems that require      deep or significant levels of analysis.   o  A "complex" system, by comparison, is an intrinsic property of a      system and is typically associated with emergent behaviors such      that the behavior of the system is not fully described by the sum      of the behavior of each of the components of the system.  Complex      systems are often associated with systems whose components exhibit      high levels of interaction and feedback.Behringer, et al.             Informational                     [Page 5]

RFC 7980                  Complexity Framework              October 20162.3.  Robust Yet Fragile   Networks typically follow the "robust yet fragile" paradigm: they are   designed to be robust against a set of failures, yet they are very   vulnerable to other failures.  Doyle [Doyle] explains the concept   with an example: the Internet is robust against single-component   failure but fragile to targeted attacks.  The "robust yet fragile"   property also touches on the fact that all network designs are   necessarily making trade-offs between different design goals.  The   simplest one is "Good, Fast, Cheap: Pick any two (you can't have all   three)", as articulated in "The Twelve Networking Truths" [RFC1925].   In real network design, trade-offs between many aspects have to be   made, including, for example, issues of scope, time, and cost in the   network cycle of planning, design, implementation, and management of   a network platform.Section 3 gives some examples of trade-offs, and   parameters are discussed inSection 4.2.4.  The Complexity Cube   Complex tasks on a network can be done in different components of the   network.  For example, routing can be controlled by central   algorithms and the result distributed (e.g., OpenFlow model); the   routing algorithm can also run completely distributed (e.g., routing   protocols such as OSPF or IS-IS), or a human operator could calculate   routing tables and statically configure routing.  Behringer   [Behringer] defines these three axes of complexity as a "complexity   cube" with the respective axes being network elements, central   systems, and human operators.  Any function can be implemented in any   of these three axes, and this choice likely has an impact on the   overall complexity of the system.2.5.  Related Concepts   When discussing network complexity, a large number of influencing   factors have to be taken into account to arrive at a full picture,   for example:   o  State in the Network: Contains the network elements, such as      routers, switches (with their OS, including protocols), lines,      central systems, etc.  This also includes the number and      algorithmic complexity of the protocols on network devices.   o  Human Operators: Complexity manifests itself often by a network      that is not completely understood by human operators.  Human error      is a primary source for catastrophic failures and therefore must      be taken into account.Behringer, et al.             Informational                     [Page 6]

RFC 7980                  Complexity Framework              October 2016   o  Classes/Templates: Rather than counting the number of lines in a      configuration or the number of hardware elements, more important      is the number of classes from which those can be derived.  In      other words, it is probably less complex to have 1000 interfaces      that are identically configured than 5 that are configured      completely different.   o  Dependencies and Interactions: The number of dependencies between      elements, as well as the interactions between them, has influence      on the complexity of the network.   o  Total Cost of Ownership (TCO): TCO could be a good metric for      network complexity if the TCO calculation takes into account all      influencing factors, for example, training time for staff to be      able to maintain a network.   o  Benchmark Unit Cost (BUC): BUC is a related metric that indicates      the cost of operating a certain component.  If calculated well, it      reflects at least parts of the complexity of this component.      Therefore, the way TCO or BUC is calculated can help to derive a      complexity metric.   o  Churn / Rate of Change: The change rate in a network itself can      contribute to complexity, especially if a number of components of      the overall network interact.   Networks differ in terms of their intended purpose (such as is found   in differences between enterprise and public carriage network   platforms) and differences in their intended roles (such as is found   in the differences between so-called "access" networks and "core"   transit networks).  The differences in terms of role and purpose can   often lead to differences in the tolerance for, and even the metrics   of, complexity within such different network scenarios.  This is not   necessarily a space where a single methodology for measuring   complexity, and defining a single threshold value of acceptability of   complexity, is appropriate.2.6.  Technical Debt   Many changes in a network are made with a dependency on the existing   network.  Often, a suboptimal decision is made because the optimal   decision is hard or impossible to realize at the time.  Over time,   the number of suboptimal changes in themselves cause significant   complexity, which would not have been there had the optimal solution   been implemented.Behringer, et al.             Informational                     [Page 7]

RFC 7980                  Complexity Framework              October 2016   The term "technical debt" refers to the accumulated complexity of   suboptimal changes over time.  As with financial debt, the idea is   that also technical debt must be repaid one day by cleaning up the   network or software.2.7.  Layering Considerations   In considering the larger space of applications, transport services,   network services, and media services, it is feasible to engineer   responses for certain types of desired applications responses in many   different ways and involving different layers of the so-called   network protocol stack.  For example, Quality of Service (QoS) could   be engineered at any of these layers or even in a number of   combinations of different layers.   Considerations of complexity arise when mutually incompatible   measures are used in combination (such as error detection and   retransmission at the media layer in conjunction with the use of TCP   transport protocol) or when assumptions used in one layer are   violated by another layer.  This results in surprising outcomes that   may result in complex interactions, for example, oscillation, because   different layers use different timers for retransmission.  These   issues have led to the perspective that increased layering frequently   increases complexity [RFC3439].   While this research work is focused on network complexity, the   interactions of the network with the end-to-end transport protocols,   application layer protocols, and media properties are relevant   considerations here.3.  Trade-Offs   Network complexity is a system-level, rather than component-level,   problem; overall system complexity may be more than the sum of the   complexity of the individual pieces.   There are two basic ways in which system-level problems might be   addressed: interfaces and continuums.  In addressing a system-level   problem through interfaces, we seek to treat each piece of the system   as a "black box" and develop a complete understanding of the   interfaces between these black boxes.  In addressing a system-level   problem as a continuum, we seek to understand the impact of a single   change or element to the entire system as a set of trade-offs.   While network complexity can profitably be approached from either of   these perspectives, in this document we have chosen to approach the   system-level impact of network complexity from the perspective of   continuums of trade-offs.  In theory, modifying the network toBehringer, et al.             Informational                     [Page 8]

RFC 7980                  Complexity Framework              October 2016   resolve one particular problem (or class of problems) will add   complexity that results in the increased likelihood (or appearance)   of another class of problems.  Discovering these continuums of trade-   offs, and then determining how to measure each one, become the key   steps in understanding and measuring system-level complexity in this   view.   The following sections describe five such continuums; more may be   possible.   o  Control-Plane State versus Optimal Forwarding Paths (or its      opposite measure, stretch)   o  Configuration State versus Failure Domain Separation   o  Policy Centralization versus Optimal Policy Application   o  Configuration State versus Per-Hop Forwarding Optimization   o  Reactivity versus Stability3.1.  Control-Plane State versus Optimal Forwarding Paths (Stretch)   Control-plane state is the aggregate amount of information carried by   the control plane through the network in order to produce the   forwarding table at each device.  Each additional piece of   information added to the control plane -- such as more-specific   reachability information, policy information, additional control   planes for virtualization and tunneling, or more precise topology   information -- adds to the complexity of the control plane.  This   added complexity, in turn, adds to the burden of monitoring,   understanding, troubleshooting, and managing the network.   Removing control-plane state, however, is not always a net positive   gain for the network as a system; removing control-plane state almost   always results in decreased optimality in the forwarding and handling   of packets traveling through the network.  This decreased optimality   can be termed "stretch", which is defined as the difference between   the absolute shortest (or best) path traffic could take through the   network and the path the traffic actually takes.  Stretch is   expressed as the difference between the optimal and actual path.  The   figure below provides an example of this trade-off.Behringer, et al.             Informational                     [Page 9]

RFC 7980                  Complexity Framework              October 2016                                +---R1---+                                |        |        (aggregate: 192.0.2/24) R2       R3 (aggregate: 192.0.2/24)                                |        |                                R4-------R5                                |       (announce: 192.0.2.1/32) R6   Assume each link is of equal cost in this figure and that R6 is   advertising 192.0.2.1/32.   For R1, the shortest path to 192.0.2.1/32, advertised by R6, is along   the path [R1,R2,R4,R6].   Assume, however, the network administrator decides to aggregate   reachability information at R2 and R3, advertising 192.0.2.0/24   towards R1 from both of these points.  This reduces the overall   complexity of the control plane by reducing the amount of information   carried past these two routers (at R1 only in this case).   Aggregating reachability information at R2 and R3, however, may have   the impact of making both routes towards 192.0.2.1/32 appear as equal   cost paths to R1; there is no particular reason R1 should choose the   shortest path through R2 over the longer path through R3.  This, in   effect, increases the stretch of the network.  The shortest path from   R1 to R6 is 3 hops, a path that will always be chosen before   aggregation is configured.  Assuming half of the traffic will be   forwarded along the path through R2 (3 hops), and half through R3 (4   hops), the network is stretched by ((3+4)/2) - 3), or .5, a "half a   hop".   Traffic engineering through various tunneling mechanisms is, at a   broad level, adding control-plane state to provide more optimal   forwarding (or network utilization).  Optimizing network utilization   may require detuning stretch (intentionally increasing stretch) to   increase overall network utilization and efficiency; this is simply   an alternate instance of control-plane state (and hence, complexity)   weighed against optimal forwarding through the network.3.2.  Configuration State versus Failure Domain Separation   A failure domain, within the context of a network control plane, can   be defined as the set of devices impacted by a change in the network   topology or configuration.  A network with larger failure domains is   more prone to cascading failures, so smaller failure domains are   normally preferred over larger ones.Behringer, et al.             Informational                    [Page 10]

RFC 7980                  Complexity Framework              October 2016   The primary means used to limit the size of a failure domain within a   network's control plane is information hiding; the two primary types   of information hidden in a network control plane are reachability   information and topology information.  An example of aggregating   reachability information is summarizing the routes 192.0.2.1/32,   192.0.2.2/32, and 192.0.2.3/32 into the single route 192.0.2.0/24,   along with the aggregation of the metric information associated with   each of the component routes.  Note that aggregation is a "natural"   part of IP networks, starting with the aggregation of individual   hosts into a subnet at the network edge.  An example of topology   aggregation is the summarization of routes at a link-state flooding   domain boundary, or the lack of topology information in a distance-   vector protocol.   While limiting the size of failure domains appears to be an absolute   good in terms of network complexity, there is a definite trade-off in   configuration complexity.  The more failure domain edges created in a   network, the more complex configuration will become.  This is   particularly true if redistribution of routing information between   multiple control-plane processes is used to create failure domain   boundaries; moving between different types of control planes causes a   loss of the consistent metrics most control planes rely on to build   loop-free paths.  Redistribution, in particular, opens the door to   very destructive positive feedback loops within the control plane.   Examples of control-plane complexity caused by the creation of   failure domain boundaries include route filters, routing aggregation   configuration, and metric modifications to engineer traffic across   failure domain boundaries.   Returning to the network described in the previous section,   aggregating routing information at R2 and R3 will divide the network   into two failure domains: (R1, R2, R3) and (R2, R3, R4, R5).  A   failure at R5 should have no impact on the forwarding information at   R1.   A false failure domain separation occurs, however, when the metric of   the aggregate route advertised by R2 and R3 is dependent on one of   the routes within the aggregate.  For instance, if the metric of the   192.0.2.0/24 aggregate is derived from the metric of the component   192.0.2.1/32, then a failure of this one component will cause changes   in the forwarding table at R1 -- in this case, the control plane has   not truly been separated into two distinct failure domains.  The   added complexity in the illustration network would be the management   of the configuration required to aggregate the control-plane   information, and the management of the metrics to ensure the control   plane is truly separated into two distinct failure domains.Behringer, et al.             Informational                    [Page 11]

RFC 7980                  Complexity Framework              October 2016   Replacing aggregation with redistribution adds the complexity of   managing the feedback of routing information redistributed between   the failure domains.  For instance, if R1, R2, and R3 were configured   to run one routing protocol while R2, R3, R4, R5, and R6 were   configured to run another protocol, R2 and R3 could be configured to   redistribute reachability information between these two control   planes.  This can split the control plane into multiple failure   domains (depending on how, specifically, redistribution is   configured) but at the cost of creating and managing the   redistribution configuration.  Further, R3 must be configured to   block routing information redistributed at R2 towards R1 from being   redistributed (again) towards R4 and R5.3.3.  Policy Centralization versus Optimal Policy Application   Another broad area where control-plane complexity interacts with   optimal network utilization is QoS.  Two specific actions are   required to optimize the flow of traffic through a network: marking   and Per Hop Behaviors (PHBs).  Rather than examining each packet at   each forwarding device in a network, packets are often marked, or   classified, in some way (typically through Type of Service bits) so   they can be handled consistently at all forwarding devices.   Packet-marking policies must be configured on specific forwarding   devices throughout the network.  Distributing marking closer to the   edge of the network necessarily means configuring and managing more   devices, but it produces optimal forwarding at a larger number of   network devices.  Moving marking towards the network core means   packets are marked for proper handling across a smaller number of   devices.  In the same way, each device through which a packet passes   with the correct PHBs configured represents an increase in the   consistency in packet handling through the network as well as an   increase in the number of devices that must be configured and managed   for the correct PHBs.  The network below is used for an illustration   of this concept.                              +----R1----+                              |          |                           +--R2--+   +--R3--+                           |      |   |      |                           R4     R5  R6     R7   In this network, marking and PHB configuration may be configured on   any device, R1 through R7.   Assume marking is configured at the network edge; in this case, four   devices (R4, R5, R6, R7) must be configured, including ongoing   configuration management, to mark packets.  Moving packet marking toBehringer, et al.             Informational                    [Page 12]

RFC 7980                  Complexity Framework              October 2016   R2 and R3 will halve the number of devices on which packet-marking   configuration must be managed, but at the cost of inconsistent packet   handling at the inbound interfaces of R2 and R3 themselves.   Thus, reducing the number of devices that must have managed   configurations for packet marking will reduce optimal packet flow   through the network.  Assuming packet marking is actually configured   along the edge of this network, configuring PHBs on different devices   has this same trade-off of managed configuration versus optimal   traffic flow.  If the correct PHBs are configured on R1, R2, and R3,   then packets passing through the network will be handled correctly at   each hop.  The cost involved will be the management of PHB   configuration on three devices.  Configuring a single device for the   correct PHBs (R1, for instance), will decrease the amount of   configuration management required at the cost of less than optimal   packet handling along the entire path.3.4.  Configuration State versus Per-Hop Forwarding Optimization   The number of PHBs configured along a forwarding path exhibits the   same complexity versus optimality trade-off described in the section   above.  The more classes (or queues) traffic is divided into, the   more fine-grained traffic will be managed as it passes through the   network.  At the same time, each class of service must be managed,   both in terms of configuration and in its interaction with other   classes of service configured in the network.3.5.  Reactivity versus Stability   The speed at which the network's control plane can react to a change   in configuration or topology is an area of widespread study.   Control-plane convergence can be broken down into four essential   parts:   o  Detecting the change   o  Propagating information about the change   o  Determining the best path(s) through the network after the change   o  Changing the forwarding path at each network element along the      modified paths   Each of these areas can be addressed in an effort to improve network   convergence speeds; some of these improvements come at the cost of   increased complexity.Behringer, et al.             Informational                    [Page 13]

RFC 7980                  Complexity Framework              October 2016   Changes in network topology can be detected much more quickly through   faster echo (or hello) mechanisms, lower-layer physical detection,   and other methods.  Each of these mechanisms, however, can only be   used at the cost of evaluating and managing false positives and high   rates of topology change.   If the state of a link change can be detected in 10 ms, for instance,   the link could theoretically change state 50 times in a second -- it   would be impossible to tune a network control plane to react to   topology changes at this rate.  Injecting topology change information   into the control plane at this rate can destabilize the control   plane, and hence the network itself.  To counter this, most   techniques that quickly detect link-down events include some form of   dampening mechanism; configuring and managing these dampening   mechanisms increases complexity.   Changes in network topology must also be propagated throughout the   network so each device along the path can compute new forwarding   tables.  In high-speed network environments, propagation of routing   information changes can take place in tens of milliseconds, opening   the possibility of multiple changes being propagated per second.   Injecting information at this rate into the control plane creates the   risk of overloading the processes and devices participating in the   control plane as well as creating destructive positive feedback loops   in the network.  To avoid these consequences, most control-plane   protocols regulate the speed at which information about network   changes can be transmitted by any individual device.  A recent   innovation in this area is using exponential backoff techniques to   manage the rate at which information is advertised into the control   plane; the first change is transmitted quickly, while subsequent   changes are transmitted more slowly.  These techniques all control   the destabilizing effects of rapid information flows through the   control plane through the added complexity of configuring and   managing the rate at which the control plane can propagate   information about network changes.   All control planes require some form of algorithmic calculation to   find the best path through the network to any given destination.   These algorithms are often lightweight but they still require some   amount of memory and computational power to execute.  Rapid changes   in the network can overwhelm the devices on which these algorithms   run, particularly if changes are presented more quickly than the   algorithm can run.  Once a device running these algorithms becomes   processor or memory bound, it could experience a computational   failure altogether, causing a more general network outage.  To   prevent computational overloading, control-plane protocols are   designed with timers limiting how often they can compute the best   path through a network; often these timers are exponential in natureBehringer, et al.             Informational                    [Page 14]

RFC 7980                  Complexity Framework              October 2016   and thus allow the first computation to run quickly while delaying   subsequent computations.  Configuring and managing these timers is   another source of complexity within the network.   Another option to improve the speed at which the control plane reacts   to changes in the network is to precompute alternate paths at each   device and possibly preinstall forwarding information into local   forwarding tables.  Additional state is often needed to precompute   alternate paths, and additional algorithms and techniques are often   configured and deployed.  This additional state, and these additional   algorithms, add some amount of complexity to the configuration and   management of the network.   In some situations (for some topologies), a tunnel is required to   pass traffic around a network failure or topology change.  These   tunnels, while not manually configured, represent additional   complexity at the forwarding and control planes.4.  Parameters   InSection 3, we describe a set of trade-offs in network design to   illustrate the practical choices network operators have to make.  The   amount of parameters to consider in such trade-off scenarios is very   large, and thus a complete listing may not be possible.  Also, the   dependencies between the various metrics themselves is very complex   and requires further study.  This document attempts to define a   methodology and an overall high-level structure.   To analyze trade-offs it is necessary to formalize them.  The list of   parameters for such trade-offs is long, and the parameters can be   complex in themselves.  For example, "cost" can be a simple   unidimensional metric, but "extensibility" and "optimal forwarding   state" are harder to define in detail.   A list of parameters to trade off contains metrics such as:   o  State: How much state needs to be held in the control plane,      forwarding plane, configuration, etc.?   o  Cost: How much does the network cost to build and run (i.e.,      capital expenditure (capex) and operating expenses (opex))?   o  Bandwidth/Delay/Jitter: Traffic characteristics between two points      (average, max, etc.)   o  Configuration Complexity: How hard is it to configure and maintain      the configuration?Behringer, et al.             Informational                    [Page 15]

RFC 7980                  Complexity Framework              October 2016   o  Susceptibility to Denial of Service: How easy is it to attack the      service?   o  Security (Confidentiality/Integrity): How easy is it to      sniff/modify/insert the data flow?   o  Scalability: To what size can I grow the network/service?   o  Stability: How stable is the network under the influence of local      change?   o  Reactivity: How fast does the network converge or adapt to new      situations?   o  Extensibility: Can I use the network for other services in the      future?   o  Ease of Troubleshooting: Are failure domains separated?  How hard      is it to find and correct problems?   o  Optimal Per-Hop Forwarding Behavior   o  Predictability: If I change a parameter, what will happen?   o  Clean Failure: When a problem arises, does the root cause lead to      deterministic failure?5.  Elements of Complexity   Complexity can be found in various elements in a networked system.   For example, the configuration of a network element reflects some of   the complexity contained in this system, or an algorithm used by a   protocol may be more or less complex.  When classifying complexity,   "WHAT is complex?" is the first question to ask.  This section offers   a method to answer this question.5.1.  The Physical Network (Hardware)   The set of network devices and wiring contains a certain complexity.   For example, adding a redundant link between two locations increases   the complexity of the network but provides more redundancy.  Also,   network devices can be more or less modular, which has impact on   complexity trading off against ease of maintenance, availability, and   upgradability.Behringer, et al.             Informational                    [Page 16]

RFC 7980                  Complexity Framework              October 20165.2.  Algorithms   The behavior of the physical network is not only defined by the   hardware but also by algorithms that run on network elements and in   central locations.  Every algorithm has a certain intrinsic   complexity, which is the subject of research on software complexity.5.3.  State in the Network   The way a network element treats traffic is defined largely by the   state in the network, in form of configuration, routing state,   security measures, etc.Section 3.1 shows an example where more   control-plane state allows for a more precise forwarding.5.4.  Churn   The rate of change itself is a parameter in complexity and needs to   be weighed against other parameters.Section 3.5 explains a trade-   off between the speed of communicating changes through the network   and the stability of the network.5.5.  Knowledge   Certain complexity parameters have a strong link to the human aspect   of networking.  For example, the more options and parameters a   network protocol has, the harder it is to configure and troubleshoot.   Therefore, there is a trade-off between the knowledge to be   maintained by operational staff and desired functionality.  The   required knowledge of network operators is therefore an important   part in complexity considerations.6.  Location of Complexity   The previous section discussed in which form complexity may be   perceived.  This section focuses on where this complexity is located   in a network.  For example, an algorithm can run centrally,   distributed, or even in the head of a network administrator.  In   classifying the complexity of a network, the location of a component   may have an impact on overall complexity.  This section offers a   methodology to find WHERE the complex component is located.6.1.  Topological Location   An algorithm can run distributed; for example, a routing protocol   like OSPF runs on all routers in a network.  But, it can also be in a   central location such as the Network Operations Center (NOC).  The   physical location has an impact on several other parameters, such as   availability (local changes might be faster than going through aBehringer, et al.             Informational                    [Page 17]

RFC 7980                  Complexity Framework              October 2016   remote NOC) and ease of operation, because it might be easier to   understand and troubleshoot one central entity rather than many   remote ones.   The example inSection 3.3 shows how the location of state (in this   case configuration) impacts the precision of the policy enforcement   and the corresponding state required.  Enforcement closer to the edge   requires more network-wide state but is more precise.6.2.  Logical Location   Independent of its physical location, the logical location also may   make a difference to complexity.  A controller function, for example,   can reside in a NOC and also on a network element.  Generally,   organizing a network in separate logical entities is considered   positive because it eases the understanding of the network, thereby   making troubleshooting and configuration easier.  For example, a BGP   route reflector is a separate logical entity from a BGP speaker, but   it may reside on the same physical node.6.3.  Layering Considerations   Also, the layer of the TCP/IP stack in which a function is   implemented can have an impact on the complexity of the overall   network.  Some functions are implemented in several layers in   slightly different ways; this may lead to unexpected results.   As an example, a link failure is detected on various layers: L1, L2,   the IGP, BGP, and potentially more.  Since those have dependencies on   each other, different link failure detection times can cause   undesired effects.  Dependencies are discussed in more detail in the   next section.7.  Dependencies   Dependencies are generally regarded as related to overall complexity.   A system with less dependencies is generally considered less complex.   This section proposes a way to analyze dependencies in a network.   For example, [Chun] states: "We conjecture that the complexity   particular to networked systems arises from the need to ensure state   is kept in sync with its distributed dependencies."   In this document, we distinguish three types of dependencies: local   dependencies, network-wide dependencies, and network-external   dependencies.Behringer, et al.             Informational                    [Page 18]

RFC 7980                  Complexity Framework              October 20167.1.  Local Dependencies   Local dependencies are relative to a single node in the network.  For   example, an interface on a node may have an IP address; this address   may be used in other parts of the configuration.  If the interface   address changes, the dependent configuration parts have to change as   well.   Similar dependencies exist for QoS policies, access-control lists,   names and numbers of configuration parts, etc.7.2.  Network-Wide Dependencies   Routing protocols, failover protocols, and many others have   dependencies across the network.  If one node is affected by a   problem, this may have a ripple effect through the network.  These   protocols are typically designed to deal with unexpected consequences   and thus are unlikely to cause an issue on their own.  But,   occasionally a number of complexity issues come together (for   example, different timers on different layers), resulting in   unexpected behavior.7.3.  Network-External Dependencies   Some dependencies are on elements outside the actual network, for   example, on an external NTP clock source or an Authentication,   Authorization, and Accounting (AAA) server.  Again, a trade-off is   made: in the example of AAA used for login authentication, we reduce   the configuration (state) on each node (in particular, user-specific   configuration), but we add an external dependency on a AAA server.   In networks with many administrators, a AAA server is clearly the   only manageable way to track all administrators.  But, it comes at   the cost of this external dependency with the consequence that admin   access may be lost for all devices at the same time when the AAA   server is unavailable.   Even with the external dependency on a AAA server, the advantage of   centralizing the user information (and logging) still has significant   value over distributing user information across all devices.  To   solve the problem of the central dependency not being available,   other solutions have been developed -- for example, a secondary   authentication mode with a single root-level password in case the AAA   server is not available.Behringer, et al.             Informational                    [Page 19]

RFC 7980                  Complexity Framework              October 20168.  Management Interactions   A static network generally is relatively stable; conversely, changes   introduce a degree of uncertainty and therefore need to be examined   in detail.  Also, the troubleshooting of a network exposes   intuitively the complexity of the network.  This section proposes a   methodology to classify management interactions with regard to their   relationship to network complexity.8.1.  Configuration Complexity   Configuration can be seen as distributed state across network devices   where the administrator has direct influence on the operation of the   network.  Modifying the configuration can improve the network   behavior overall or negatively affect it.  In the worst case, a   single misconfiguration could potentially bring down the entire   network.  Therefore, it is important that a human administrator can   manage the complexity of the configuration well.   The configuration reflects most of the local and global dependencies   in the network, as explained inSection 7.  Tracking those   dependencies in the configuration helps in understanding the overall   network complexity.8.2.  Troubleshooting Complexity   Unexpected behavior can have a number of sources: the configuration   may contain errors, the operating system (algorithms) may have bugs,   and the hardware may be faulty, which includes anything from broken   fibers to faulty line cards.  In serious problems, a combination of   causes could result in a single visible condition.  Tracking the root   causes of an error condition may be extremely difficult, pointing to   the complex nature of a network.   Being able to find the source of a problem requires, therefore, a   solid understanding of the complexity of a network.  The   configuration complexity discussed in the previous section represents   only a part of the overall problem space.8.3.  Monitoring Complexity   Even in the absence of error conditions, the state of the network   should be monitored to detect error conditions ideally before network   services are affected.  For example, a single link-down event may not   cause a service disruption in a well-designed network, but the   problem needs to be resolved quickly to restore redundancy.Behringer, et al.             Informational                    [Page 20]

RFC 7980                  Complexity Framework              October 2016   Monitoring a network has itself a certain complexity.  Issues are in   scale; variations of devices to be monitored; variations of methods   used to collect information; the inevitable loss of information as   reporting is aggregated centrally; and the knowledge required to   understand the network, the dependencies, and the interactions with   users and other external inputs.8.4.  Complexity of System Integration   A network doesn't just consist of network devices but includes a vast   array of backend and support systems.  It also interfaces a large   variety of user devices, and a number of human interfaces, both to   the user/customer as well as to administrators of the network.  A   system integration job is required in order to make sure the overall   network provides the overall service expected.   All those interactions and systems have to be modeled to understand   the interdependencies and complexities in the network.  This is a   large area of future research.9.  External Interactions   A network is not a self-contained entity, but it exists to provide   connectivity and services to users and other networks, both of which   are outside the direct control of a network administrator.  The user   experience of a network also illustrates a form of interaction with   its own complexity.   External interactions fall into the following categories:   o  User Interactions: Users need a way to request a service, to have      their problems resolved, and potentially to get billed for their      usage.  There are a number of human interfaces that need to be      considered, which depend to some extent on the network, for      example, for troubleshooting or monitoring usage.   o  Interactions with End Systems: The network also interacts with the      devices that connect to it.  Typically, a device receives an IP      address from the network and information on how to resolve domain      names, plus potentially other services.  While those interactions      are relatively simple, the vast amount of end-device types makes      this a complicated space to track.   o  Internetwork Interactions: Most networks connect to other      networks.  Also, in this case, there are many interactions between      networks, both technical (for example, running a routing protocol)      as well as non-technical (for example, tracing problems across      network boundaries).Behringer, et al.             Informational                    [Page 21]

RFC 7980                  Complexity Framework              October 2016   For a fully operational network providing services to users, the   external interactions and dependencies also form an integral part of   the overall complexity of the network service.  A specific example   are the root DNS servers, which are critical to the function of the   Internet.  Practically all Internet users have an implicit dependency   on the root DNS servers, which explains why those are frequent   targets for attacks.  Understanding the overall complexity of a   network includes understanding all those external dependencies.  Of   course, in the case of the root DNS servers, there is little a   network operator can influence.10.  Examples   In the foreseeable future, it is unlikely to define a single,   objective metric that includes all the relevant aspects of   complexity.  In the absence of such a global metric, a comparative   approach could be easier.   For example, it is possible to compare the complexity of a   centralized system where algorithms run centrally and the results are   distributed to the network nodes with a distributed algorithm.  The   type of algorithm may be similar, but the location is different, and   a different dependency graph would result.  The supporting hardware   may be the same and thus could be ignored for this exercise.  Also,   layering is likely to be the same.  The management interactions,   though, would significantly differ in both cases.   The classification in this document also makes it easier to survey   existing research with regards to which area of complexity is   covered.  This could help in identifying open areas for research.11.  Security Considerations   This document does not discuss any specific security considerations.12.  Informative References   [Behringer] Behringer, M., "Classifying Network Complexity",               Proceedings of the 2009 Workshop on Re-architecting the               Internet (Re-Arch '09), ACM, DOI 10.1145/1658978.1658983,               December 2009.   [Chun]      Chun, B-G., Ratnasamy, S., and E. Eddie, "NetComplex: A               Complexity Metric for Networked System Designs",               Proceedings of the 5th USENIX Symposium on Networked               Systems Design and Implementation (NSDI '08), pp.               393-406, April 2008, <http://usenix.org/events/nsdi08/tech/full_papers/chun/chun.pdf>.Behringer, et al.             Informational                    [Page 22]

RFC 7980                  Complexity Framework              October 2016   [Doyle]     Doyle, J., Anderson, D., Li, L., Low, S., Roughnan, M.,               Shalunov, S., Tanaka, R., and W. Willinger, "The 'robust               yet fragile' nature of the Internet", Proceedings of the               National Academy of Sciences of the United States of               America (PNAS), Volume 102, Number 41,               DOI 10.1073/pnas.0501426102, October 2005.   [ncrg]      IRTF, "IRTF Network Complexity Research Group (NCRG)               [CONCLUDED]", <https://irtf.org/concluded/ncrg>.   [RFC1925]   Callon, R., "The Twelve Networking Truths",RFC 1925,               DOI 10.17487/RFC1925, April 1996,               <http://www.rfc-editor.org/info/rfc1925>.   [RFC3439]   Bush, R. and D. Meyer, "Some Internet Architectural               Guidelines and Philosophy",RFC 3439,               DOI 10.17487/RFC3439, December 2002,               <http://www.rfc-editor.org/info/rfc3439>.   [wiki]      "Network Complexity - The Wiki",               <http://networkcomplexity.org/>.Acknowledgements   The motivations and framework of this overview of studies into   network complexity are the result of many meetings and discussions   with too many people to provide a full list here.  However, key   contributions have been made by John Doyle, Dave Meyer, Jon   Crowcroft, Mark Handley, Fred Baker, Paul Vixie, Lars Eggert, Bob   Briscoe, Keith Jones, Bruno Klauser, Stephen Youell, Joel Obstfeld,   and Philip Eardley.   The authors would like to acknowledge the contributions of Rana   Sircar, Ken Carlberg, and Luca Caviglione in the preparation of this   document.Behringer, et al.             Informational                    [Page 23]

RFC 7980                  Complexity Framework              October 2016Authors' Addresses   Michael H. Behringer   Cisco Systems   Building D, 45 Allee des Ormes   Mougins  06250   France   Email: mbehring@cisco.com   Alvaro Retana   Cisco Systems   7025 Kit Creek Rd.   Research Triangle Park, NC  27709   United States of America   Email: aretana@cisco.com   Russ White   Ericsson   144 Warm Wood Lane   Apex, NC   27539   United States of America   Email: russ@riw.us   URI:http://www.ericsson.com   Geoff Huston   Asia Pacific Network Information Centre   6 Cordelia St   South Brisbane, QLD  4101   Australia   Email: gih@apnic.net   URI:http://www.apnic.netBehringer, et al.             Informational                    [Page 24]

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