Part of the book series:International Series in Operations Research & Management Science ((ISOR,volume 325))
478Accesses
Abstract
The two-machine open shop makespan minimization problem,\(O2||C_{\max }\), is one of the most gracious scheduling problems.
This is a preview of subscription content,log in via an institution to check access.
Access this chapter
Subscribe and save
- Get 10 units per month
- Download Article/Chapter or eBook
- 1 Unit = 1 Article or 1 Chapter
- Cancel anytime
Buy Now
- Chapter
- JPY 3498
- Price includes VAT (Japan)
- eBook
- JPY 14871
- Price includes VAT (Japan)
- Softcover Book
- JPY 18589
- Price includes VAT (Japan)
- Hardcover Book
- JPY 18589
- Price includes VAT (Japan)
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
J. Błażewicz, W. Cellary, R. Słowiński, J. Wȩglarz,Scheduling Under Resource Constraints—Deterministic Models (J. C. Baltzer AG, Basel, Switzerland, 1986)
J. Błażewicz, K. Ecker, E. Pesch, G. Schmidt, J. Wȩglarz,Handbook on Scheduling: From Theory to Applications. International Handbooks on Information Systems. (Springer, Berlin, 2007)
J. Blazewicz, J.K. Lenstra, A.H.G. Rinnooy Kan, Scheduling subject to resource constraints: classification and complexity. Discrete Appl. Math.5, 11–24 (1983)
P. Brucker,Scheduling Algorithms (Springer, Berlin, 1995)
D. Cochand, D. de Werra, R. Słowiński, Preemptive scheduling with staircase and piecewise linear resource availability. Z. Opns. Res.33, 297–313 (1989)
D. de Werra, Graph-theoretical models for preemptive scheduling, inAdvances in Project Scheduling, ed. by R. Słowiński, J. Wȩglarz (Elsevier, Amsterdam, 1989), pp. 171–185
D. de Werra, J. Błażewicz, Some preemptive open shop problems with a renewable or a nonrenewable resources. Discrete Appl. Math.35, 205–219 (1992)
D. de Werra, J. Błażewicz, Addendum: some preemptive open shop scheduling problems with a renewable or a nonrenewable resources. Discrete Appl. Math.35, 103–104 (1993)
D. de Werra, J. Błażewicz, W. Kubiak, A preemptive open shop scheduling problem with one resource. Oper. Res. Letts.10, 9–15 (1991)
T. Gonzalez, Open shop scheduling, inHandbook on Scheduling: Algorithms, Models, and Performance Analysis, ed. by J.Y.-T. Leung (Chapman and Hall/CRC, 2004), pp. 6-1–6-14
T. Gonzalez, S. Sahni, Open shop scheduling to minimize finish time. J. ACM23, 665–679 (1976)
R.L. Graham, E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, Optimization and approximation in deterministic sequencing and scheduling: a survey. Ann. Discr. Math.5, 287–326 (1979)
I.V. Gribkovskaia, C.-Y. Lee, V.A. Strusevich, D. de Werra, Three is easy, two is hard: open shop sum-bath scheduling problem refined. Oper. Res. Lett.34, 456–464 (2006)
B. Jurisch, W. Kubiak, Two-machine open shops with renewable resources. Opns. Res.45, 544–552 (1997)
W. Kubiak, C. Sriskandarajah, K. Zaras, A note on the complexity of openshop scheduling problems. INFOR29 (1991)
M. Pinedo, L. Schrage, Stochastic shop scheduling: a survey, inDeterministic and Stochastic Scheduling, ed. by M.A.H. Dempster, J.K. Lenstra, A.H.G. Rinnooy Kan (Reidel: Dordrecht, 1982), pp. 181–196
M.L. Pinedo,Scheduling: Theory, Algorithms, and Systems, 5th edn. (Springer, Berlin, 2016)
D. Shabtay, M. Kaspi, Minimizing the makespan in open-shop scheduling problems with a convex resource consumption function. Naval Res. Logist.53, 204–216 (2006)
N.V. Shakhlevich, V.A. Strusevich, Two machine open shop scheduling problem to minimize an arbitrary regular penalty function. Eur. J. Oper. Res.70, 391–404 (1993)
A.J. Soper, A cyclical search for the two machine flow shop and open shop to minimize finish time. J. Sched.18, 311–314 (2015)
V.S. Tanaev, Y.N. Sotskov, V.A. Strusevich,Scheduling Theory: Multi-Stage Systems (Kluwer Academic Publishers, Dordrecht, 1994)
N.E.H. Tellache, M. Boudhar, Open shop scheduling problems with conflict graphs. Discrete Appl. Math.227, 103–120 (2017)
N.E.H. Tellache, M. Boudhar, F. Yalaoui, Two-machine open shop problem with agreement graph. Theor. Comput. Sci.796, 154 –169 (2019)
M. van den Akker, H. Hoogeveen, G.J. Woeginger, The two-machine open shop problem: to fit or not to fit, that is the question. Oper. Res. Lett.31, 219–224 (2003)
G.J. Woeginger, The open shop scheduling problem, in35th Symposium on Theoretical Aspects of Computer Science (STACS 2018), ed. by R. Niedermeier, B. Vallée Leibniz. International Proceedings in Informatics (Dagstuhl Publishing, 2018), pp. 4:1–4:12
Author information
Authors and Affiliations
Memorial University of Newfoundland, St. John’s, NL, Canada
Wieslaw Kubiak
- Wieslaw Kubiak
Search author on:PubMed Google Scholar
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Kubiak, W. (2022). Makespan Minimization for Two-Machine Open Shops. In: A Book of Open Shop Scheduling. International Series in Operations Research & Management Science, vol 325. Springer, Cham. https://doi.org/10.1007/978-3-030-91025-9_2
Download citation
Published:
Publisher Name:Springer, Cham
Print ISBN:978-3-030-91024-2
Online ISBN:978-3-030-91025-9
eBook Packages:Business and ManagementBusiness and Management (R0)
Share this chapter
Anyone you share the following link with will be able to read this content:
Sorry, a shareable link is not currently available for this article.
Provided by the Springer Nature SharedIt content-sharing initiative