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A lagrangian relaxation algorithm for facility location of resource-constrained decentralized multi-project scheduling problems

Author

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  • Mohammad Rostami

    (University of Science and Technology (IUST))

  • Morteza Bagherpour

    (University of Science and Technology (IUST))

Abstract

Recent literature on multi-project scheduling problems has been focused on the transfer of available resources between project activities, especially in decentralized projects. Determining the right location for storage facilities where resources are moved between activities is major topics in decentralized multi-projects scheduling problems. This paper introduces a new decentralized resource-constrained multi-project scheduling problem. Its purpose is to simultaneously minimize the cost of the project completion time and the cost of facilities location. A mixed integer linear programming model is first presented to solve small-size problems by using conventional solvers. Then, three heuristic/meta-heuristic methods are proposed to solve larger-size problems. To this end, a fast constructive heuristic algorithm based on priority rules is introduced. Then, using the heuristic method structure, a combinatorial genetic algorithm is developed to solve large-size problems in reasonable CPU running time. Finally, the lagrangian relaxation technique and branch-and-bound algorithm are applied to generate an effective lower bound. According to the computational results obtained and managerial insights, total costs can be significantly reduced by selecting an optimal location of resources. By the use of a scenario-based TOPSIS approach, the heuristic methods are ranked based on changes in the importance of metrics. Friedman’s test result of TOPSIS shows that there is no significant difference among the heuristic methods.

Suggested Citation

  • Mohammad Rostami & Morteza Bagherpour, 2020. "A lagrangian relaxation algorithm for facility location of resource-constrained decentralized multi-project scheduling problems," Operational Research, Springer, vol. 20(2), pages 857-897, June.
    • Handle: RePEc:spr:operea:v:20:y:2020:i:2:d:10.1007_s12351-017-0358-x
    DOI: 10.1007/s12351-017-0358-x
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    1. Monique Guignard, 2003. "Lagrangean relaxation," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 11(2), pages 151-200, December.
    2. Gonçalves, J.F. & Mendes, J.J.M. & Resende, M.G.C., 2008. "A genetic algorithm for the resource constrained multi-project scheduling problem," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1171-1190, September.
    3. Krüger, Doreen & Scholl, Armin, 2009. "A heuristic solution framework for the resource constrained (multi-)project scheduling problem with sequence-dependent transfer times," European Journal of Operational Research, Elsevier, vol. 197(2), pages 492-508, September.
    4. Van Peteghem, Vincent & Vanhoucke, Mario, 2014. "An experimental investigation of metaheuristics for the multi-mode resource-constrained project scheduling problem on new dataset instances," European Journal of Operational Research, Elsevier, vol. 235(1), pages 62-72.
    5. Al-Fawzan, M. A. & Haouari, Mohamed, 2005. "A bi-objective model for robust resource-constrained project scheduling," International Journal of Production Economics, Elsevier, vol. 96(2), pages 175-187, May.
    6. Anıl Can & Gündüz Ulusoy, 2014. "Multi-project scheduling with two-stage decomposition," Annals of Operations Research, Springer, vol. 217(1), pages 95-116, June.
    7. Zamani, Reza, 2013. "A competitive magnet-based genetic algorithm for solving the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 229(2), pages 552-559.
    8. Gutjahr, Walter J., 2015. "Bi-Objective Multi-Mode Project Scheduling Under Risk Aversion," European Journal of Operational Research, Elsevier, vol. 246(2), pages 421-434.
    9. Vijay S. Bilolikar & Karuna Jain & Mahesh Sharma, 2016. "An adaptive crossover genetic algorithm with simulated annealing for multi mode resource constrained project scheduling with discounted cash flows," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 25(1), pages 28-46.
    10. Messelis, Tommy & De Causmaecker, Patrick, 2014. "An automatic algorithm selection approach for the multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 233(3), pages 511-528.
    11. Nicky J. Welton & Howard H. Z. Thom, 2015. "Value of Information," Medical Decision Making, , vol. 35(5), pages 564-566, July.
    12. Belarmino Adenso-Díaz & Manuel Laguna, 2006. "Fine-Tuning of Algorithms Using Fractional Experimental Designs and Local Search," Operations Research, INFORMS, vol. 54(1), pages 99-114, February.
    13. Adhau, Sunil & Mittal, M.L. & Mittal, Abhinav, 2013. "A multi-agent system for decentralized multi-project scheduling with resource transfers," International Journal of Production Economics, Elsevier, vol. 146(2), pages 646-661.
    14. Hartmann, Sönke & Briskorn, Dirk, 2010. "A survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 207(1), pages 1-14, November.
    15. Marshall L. Fisher, 1985. "An Applications Oriented Guide to Lagrangian Relaxation," Interfaces, INFORMS, vol. 15(2), pages 10-21, April.
    16. Peteghem, Vincent Van & Vanhoucke, Mario, 2010. "A genetic algorithm for the preemptive and non-preemptive multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 201(2), pages 409-418, March.
    17. N.R. Achuthan & A. Hardjawidjaja, 2001. "Project Scheduling under Time Dependent Costs – A Branch and Bound Algorithm," Annals of Operations Research, Springer, vol. 108(1), pages 55-74, November.
    18. Andreas Fink & Jörg Homberger, 2015. "Decentralized Multi-Project Scheduling," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol. 2, edition 127, chapter 0, pages 685-706, Springer.
    19. Salewski, Frank & Schirmer, Andreas & Drexl, Andreas, 1997. "Project scheduling under resource and mode identity constraints: Model, complexity, methods, and application," European Journal of Operational Research, Elsevier, vol. 102(1), pages 88-110, October.
    20. Kolisch, Rainer & Sprecher, Arno, 1997. "PSPLIB - A project scheduling problem library : OR Software - ORSEP Operations Research Software Exchange Program," European Journal of Operational Research, Elsevier, vol. 96(1), pages 205-216, January.
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