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On the Running Time Analysis of the (1+1) Evolutionary Algorithm for the Subset Sum Problem

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Part of the book series:Lecture Notes in Computer Science ((LNTCS,volume 4688))

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Abstract

Theoretic researches of evolutionary algorithms have received much attention in the past few years. This paper presents the running time analysis of evolutionary algorithm for the subset sum problems. The analysis is carried out on (1+1) EA for different subset sum problems. It uses the binary representation to encode the solutions, the method “superiority of feasible point” that separate objectives and constraints to handle the constraints, and the absorbing Markov chain model to analyze the expected runtime. It is shown that the mean first hitting time of (1+1) EA for solving subset sum problems may be polynomial, exponential, or infinite.

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Author information

Authors and Affiliations

  1. School of Computer Science and Engineering, South China University of Technology, Guangzhou 510640, China

    Yuren Zhou & Zhi Guo

  2. School of Computer Science, University of Birmingham, Birmingham, B15 2TT, UK

    Jun He

Authors
  1. Yuren Zhou

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  2. Zhi Guo

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  3. Jun He

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Editor information

Kang Li Minrui Fei George William Irwin Shiwei Ma

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© 2007 Springer-Verlag Berlin Heidelberg

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Zhou, Y., Guo, Z., He, J. (2007). On the Running Time Analysis of the (1+1) Evolutionary Algorithm for the Subset Sum Problem. In: Li, K., Fei, M., Irwin, G.W., Ma, S. (eds) Bio-Inspired Computational Intelligence and Applications. LSMS 2007. Lecture Notes in Computer Science, vol 4688. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74769-7_9

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