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Using simulated annealing to solve routing and location problems

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  • Bruce L. Golden
  • Christopher C. Skiscim

Abstract

In recent papers by Kirkpatrick et al., an analogy between the statistical mechanics of large multivariate physical systems and combinatorial optimization has been presented and used to develop a general strategy for solving discrete optimization problems. The method relies on probabilistically accepting intermediate increases in the objective function through a set of user‐controlled parameters. It is argued that by taking such controlled uphill steps, from time to time, a high quality solution can eventually be found in a moderate amount of computer time. In this paper, we implement this idea, apply it to the traveling salesman problem and the p‐median location problem, and test the approach extensively.

Suggested Citation

  • Bruce L. Golden & Christopher C. Skiscim, 1986. "Using simulated annealing to solve routing and location problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(2), pages 261-279, May.
    • Handle: RePEc:wly:navlog:v:33:y:1986:i:2:p:261-279
    DOI: 10.1002/nav.3800330209
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    Cited by:

    1. Snežana Tadić & Mladen Krstić & Željko Stević & Miloš Veljović, 2023. "Locating Collection and Delivery Points Using the p -Median Location Problem," Logistics, MDPI, vol. 7(1), pages 1-17, February.
    2. Kena Zhao & Tsan Sheng Adam Ng & Xiao Liu, 2020. "A guarantee rate optimization model for wastewater treatment system design under uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(6), pages 420-437, September.
    3. Sahar Validi & Arijit Bhattacharya & P. J. Byrne, 2021. "An evaluation of three DoE-guided meta-heuristic-based solution methods for a three-echelon sustainable distribution network," Annals of Operations Research, Springer, vol. 296(1), pages 421-469, January.
    4. Katarina Mostarac & Petar Mostarac & Zvonko Kavran & Dragana Šarac, 2022. "Determining Optimal Locations of Postal Access Points Based on Simulated Annealing," Sustainability, MDPI, vol. 14(14), pages 1-17, July.
    5. Sahar Validi & Arijit Bhattacharya & P. J. Byrne, 2020. "Sustainable distribution system design: a two-phase DoE-guided meta-heuristic solution approach for a three-echelon bi-objective AHP-integrated location-routing model," Annals of Operations Research, Springer, vol. 290(1), pages 191-222, July.

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