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A Comparison of Exact Approaches for Solving the Multiple Constrained Resource, Project Scheduling Problem

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  • James H. Patterson

    (University of Missouri--Columbia, Columbia, Missouri 65201, and Nijenrode, The Netherlands School of Business, Straatweg 25, 3621 BG Breukelen, The Netherlands)

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    Abstract

    A recurring problem in managing project activity involves the allocation of scarce resources to the individual activities comprising the project Resource conflict resolution decisions must be made whenever the concurrent demand for resources by the competing activities of a project exceeds resource availability. When these resource conflict resolution decisions arise, project managers seek direction on which activities to schedule and which to delay in order that the resulting increase in project duration is the minimum that can be achieved with the given resource availabilities. The procedures examined in this paper are all designed to provide for this type of decision support. Each procedure examined is enumerative based, methodically searching the set of possible solutions in such a way that not all possibilities need be considered individually. The methods differ in the manner in which the tree representing partial schedules is generated and is saved, and differ in the methods which are used to identify and discard inferior partial schedules. Each procedure was found to be generally superior on a specific class of problems, and these classes are identified.

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    File URL: http://dx.doi.org/10.1287/mnsc.30.7.854
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 30 (1984)
    Issue (Month): 7 (July)
    Pages: 854-867

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    Handle: RePEc:inm:ormnsc:v:30:y:1984:i:7:p:854-867

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    Related research

    Keywords: project management: resource constraints; programming: integer algorithm; branch and bound; networks/graphs: applications;

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    Citations

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    Cited by:
    1. Kolisch, Rainer, 1996. "Serial and parallel resource-constrained project scheduling methods revisited: Theory and computation," European Journal of Operational Research, Elsevier, vol. 90(2), pages 320-333, April.
    2. 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.
    3. Demeulemeester, Erik L. & Herroelen, Willy S., 1996. "Modelling setup times, process batches and transfer batches using activity network logic," European Journal of Operational Research, Elsevier, vol. 89(2), pages 355-365, March.
    4. Klein, Robert & Scholl, Armin, 1999. "Computing lower bounds by destructive improvement: An application to resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 112(2), pages 322-346, January.
    5. Chen, Jiaqiong & Askin, Ronald G., 2009. "Project selection, scheduling and resource allocation with time dependent returns," European Journal of Operational Research, Elsevier, vol. 193(1), pages 23-34, February.
    6. Simpson, Wendell P. & Patterson, James H., 1996. "A multiple-tree search procedure for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 89(3), pages 525-542, March.
    7. 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.
    8. Jozefowska, Joanna & Weglarz, Jan, 1998. "On a methodology for discrete-continuous scheduling," European Journal of Operational Research, Elsevier, vol. 107(2), pages 338-353, June.
    9. Mika, Marek & Waligora, Grzegorz & Weglarz, Jan, 2005. "Simulated annealing and tabu search for multi-mode resource-constrained project scheduling with positive discounted cash flows and different payment models," European Journal of Operational Research, Elsevier, vol. 164(3), pages 639-668, August.
    10. Klein, Robert, 2000. "Bidirectional planning: improving priority rule-based heuristics for scheduling resource-constrained projects," European Journal of Operational Research, Elsevier, vol. 127(3), pages 619-638, December.
    11. Tavares, L. V., 2002. "A review of the contribution of Operational Research to Project Management," European Journal of Operational Research, Elsevier, vol. 136(1), pages 1-18, January.
    12. 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.
    13. Yang, Kum Khiong & Tay, Lee Choo & Sum, Chee Chuong, 1995. "A comparison of stochastic scheduling rules for maximizing project net present value," European Journal of Operational Research, Elsevier, vol. 85(2), pages 327-339, September.
    14. Samaddar, Subhashish & Rabinowitz, Gad & Zhang, Guoqiang Peter, 2005. "An experimental analysis of solution performance in a resource sharing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 165(1), pages 139-156, August.
    15. Luh, Peter B. & Liu, Feng & Moser, Bryan, 1999. "Scheduling of design projects with uncertain number of iterations," European Journal of Operational Research, Elsevier, vol. 113(3), pages 575-592, March.
    16. Yang, Kum-Khiong, 1998. "A comparison of dispatching rules for executing a resource-constrained project with estimated activity durations," Omega, Elsevier, vol. 26(6), pages 729-738, December.
    17. 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.
    18. Fleszar, Krzysztof & Hindi, Khalil S., 2004. "Solving the resource-constrained project scheduling problem by a variable neighbourhood search," European Journal of Operational Research, Elsevier, vol. 155(2), pages 402-413, June.

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