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Multi-processor Exact Procedures for Regular Measures of the Multi-mode RCPSP

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  • Dayal Madhukar
  • Verma, Sanjay

Abstract

The multi-mode resource-constrained project scheduling problem (MM RCPSP) is an NP-hard problem representing a generalization of the well-studied RCPSP. Depth-first tree search approach by Sprecher & Drexl (1998) is the best-known exact solution tree search procedure for this problem. In this paper we modify an existing breadth-first algorithm for multiple processors. It is a computer-cluster implementation of the breadth-first procedure which improves the solution time taken for these problem instances.

Suggested Citation

  • Dayal Madhukar & Verma, Sanjay, 2015. "Multi-processor Exact Procedures for Regular Measures of the Multi-mode RCPSP," IIMA Working Papers WP2015-03-25, Indian Institute of Management Ahmedabad, Research and Publication Department.
  • Handle: RePEc:iim:iimawp:13334
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    References listed on IDEAS

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    1. Mika, Marek & Waligora, Grzegorz & Weglarz, Jan, 2008. "Tabu search for multi-mode resource-constrained project scheduling with schedule-dependent setup times," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1238-1250, June.
    2. Sönke Hartmann, 2001. "Project Scheduling with Multiple Modes: A Genetic Algorithm," Annals of Operations Research, Springer, vol. 102(1), pages 111-135, February.
    3. Richard L. Daniels & Joseph B. Mazzola, 1994. "Flow Shop Scheduling with Resource Flexibility," Operations Research, INFORMS, vol. 42(3), pages 504-522, June.
    4. F. Brian Talbot, 1982. "Resource-Constrained Project Scheduling with Time-Resource Tradeoffs: The Nonpreemptive Case," Management Science, INFORMS, vol. 28(10), pages 1197-1210, October.
    5. Dhavale N P & Verma, Sanjay & Bagchi Amitava, 2003. "Scheduling Partially Ordered Jobs Under Resource Constraints To Optimize Non-Regular Performance Measures," IIMA Working Papers WP2003-07-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
    6. Heilmann, Roland, 2003. "A branch-and-bound procedure for the multi-mode resource-constrained project scheduling problem with minimum and maximum time lags," European Journal of Operational Research, Elsevier, vol. 144(2), pages 348-365, January.
    7. Sprecher, Arno & Kolisch, Rainer & Drexl, Andreas, 1995. "Semi-active, active, and non-delay schedules for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 80(1), pages 94-102, January.
    8. De Reyck, Bert & Herroelen, Willy, 1999. "The multi-mode resource-constrained project scheduling problem with generalized precedence relations," European Journal of Operational Research, Elsevier, vol. 119(2), pages 538-556, December.
    9. Rainer Kolisch & Arno Sprecher & Andreas Drexl, 1995. "Characterization and Generation of a General Class of Resource-Constrained Project Scheduling Problems," Management Science, INFORMS, vol. 41(10), pages 1693-1703, October.
    10. Dayal Madhukar & Verma, Sanjay, 2014. "Breadth-first and Best-first Exact Procedures for Regular Measures of the Multi-mode RCPSP," IIMA Working Papers WP2014-10-04, Indian Institute of Management Ahmedabad, Research and Publication Department.
    11. V. Van Peteghem & M. Vanhoucke, 2008. "A Genetic Algorithm for the Multi-Mode Resource-Constrained Project Scheduling Problem," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 08/494, Ghent University, Faculty of Economics and Business Administration.
    12. Arno Sprecher, 2000. "Scheduling Resource-Constrained Projects Competitively at Modest Memory Requirements," Management Science, INFORMS, vol. 46(5), pages 710-723, May.
    13. E. Demeulemeester & B. Dodin & W. Herroelen, 1993. "A Random Activity Network Generator," Operations Research, INFORMS, vol. 41(5), pages 972-980, October.
    14. Vo[ss], Stefan & Witt, Andreas, 2007. "Hybrid flow shop scheduling as a multi-mode multi-project scheduling problem with batching requirements: A real-world application," International Journal of Production Economics, Elsevier, vol. 105(2), pages 445-458, February.
    15. Kolisch, Rainer & Sprecher, Arno, 1996. "PSPLIB - a project scheduling problem library," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 396, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    16. Behzadian, Majid & Kazemzadeh, R.B. & Albadvi, A. & Aghdasi, M., 2010. "PROMETHEE: A comprehensive literature review on methodologies and applications," European Journal of Operational Research, Elsevier, vol. 200(1), pages 198-215, January.
    17. He, Zhengwen & Xu, Yu, 2008. "Multi-mode project payment scheduling problems with bonus-penalty structure," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1191-1207, September.
    18. Sprecher, Arno & Drexl, Andreas, 1998. "Multi-mode resource-constrained project scheduling by a simple, general and powerful sequencing algorithm," European Journal of Operational Research, Elsevier, vol. 107(2), pages 431-450, June.
    19. Schirmer, Andreas, 1996. "New insights on the complexity of resource-constrained project scheduling: Two cases of multi-mode scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 391, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    20. Buddhakulsomsiri, Jirachai & Kim, David S., 2006. "Properties of multi-mode resource-constrained project scheduling problems with resource vacations and activity splitting," European Journal of Operational Research, Elsevier, vol. 175(1), pages 279-295, November.
    21. Buddhakulsomsiri, Jirachai & Kim, David S., 2007. "Priority rule-based heuristic for multi-mode resource-constrained project scheduling problems with resource vacations and activity splitting," European Journal of Operational Research, Elsevier, vol. 178(2), pages 374-390, April.
    22. D. Klingman & A. Napier & J. Stutz, 1974. "NETGEN: A Program for Generating Large Scale Capacitated Assignment, Transportation, and Minimum Cost Flow Network Problems," Management Science, INFORMS, vol. 20(5), pages 814-821, January.
    23. Erik Demeulemeester & Willy Herroelen, 1992. "A Branch-and-Bound Procedure for the Multiple Resource-Constrained Project Scheduling Problem," Management Science, INFORMS, vol. 38(12), pages 1803-1818, December.
    24. Drexl, Andreas & Nissen, Rudiger & Patterson, James H. & Salewski, Frank, 2000. "ProGen/[pi]x - An instance generator for resource-constrained project scheduling problems with partially renewable resources and further extensions," European Journal of Operational Research, Elsevier, vol. 125(1), pages 59-72, August.
    25. Nazareth, Terence & Verma, Sanjay & Bhattacharya, Subir & Bagchi, Amitava, 1999. "The multiple resource constrained project scheduling problem: A breadth-first approach," European Journal of Operational Research, Elsevier, vol. 112(2), pages 347-366, January.
    26. Bouleimen, K. & Lecocq, H., 2003. "A new efficient simulated annealing algorithm for the resource-constrained project scheduling problem and its multiple mode version," European Journal of Operational Research, Elsevier, vol. 149(2), pages 268-281, September.
    27. Gündüz Ulusoy & Funda Sivrikaya-Şerifoğlu & Şule Şahin, 2001. "Four Payment Models for the Multi-Mode Resource Constrained Project Scheduling Problem with Discounted Cash Flows," Annals of Operations Research, Springer, vol. 102(1), pages 237-261, February.
    28. E. B. Berman, 1964. "Resource Allocation in a PERT Network Under Continuous Activity Time-Cost Functions," Management Science, INFORMS, vol. 10(4), pages 734-745, July.
    29. Mori, Masao & Tseng, Ching Chih, 1997. "A genetic algorithm for multi-mode resource constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 100(1), pages 134-141, July.
    30. Oya Icmeli & S. Selcuk Erenguc, 1996. "A Branch and Bound Procedure for the Resource Constrained Project Scheduling Problem with Discounted Cash Flows," Management Science, INFORMS, vol. 42(10), pages 1395-1408, October.
    31. W Herroelen & B De Reyck, 1999. "Phase transitions in project scheduling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(2), pages 148-156, February.
    32. James H. Patterson, 1984. "A Comparison of Exact Approaches for Solving the Multiple Constrained Resource, Project Scheduling Problem," Management Science, INFORMS, vol. 30(7), pages 854-867, July.
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