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The resource constrained project scheduling problem with multiple crashable modes: An exact solution method

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  • S. Selcuk Erenguc
  • Taeho Ahn
  • Daniel G. Conway

Abstract

We introduce a formulation and an exact solution method for a nonpreemptive resource constrained project scheduling problem in which the duration/cost of an activity is determined by the mode selection and the duration reduction (crashing) within the mode. This problem is a natural combination of the time/cost tradeoff problem and the resource constrained project scheduling problem. It involves the determination, for each activity, of its resource requirements, the extent of crashing, and its start time so that the total project cost is minimized. We present a branch and bound procedure and report computational results with a set of 160 problems. Computational results demonstrate the effectiveness of our procedure. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 107–127, 2001

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  • S. Selcuk Erenguc & Taeho Ahn & Daniel G. Conway, 2001. "The resource constrained project scheduling problem with multiple crashable modes: An exact solution method," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(2), pages 107-127, March.
    • Handle: RePEc:wly:navres:v:48:y:2001:i:2:p:107-127
    DOI: 10.1002/1520-6750(200103)48:23.0.CO;2-9
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    1. Patterson, James H. & Brian Talbot, F. & Slowinski, Roman & Weglarz, Jan, 1990. "Computational experience with a backtracking algorithm for solving a general class of precedence and resource-constrained scheduling problems," European Journal of Operational Research, Elsevier, vol. 49(1), pages 68-79, November.
    2. Christofides, Nicos & Alvarez-Valdes, R. & Tamarit, J. M., 1987. "Project scheduling with resource constraints: A branch and bound approach," European Journal of Operational Research, Elsevier, vol. 29(3), pages 262-273, June.
    3. D. R. Fulkerson, 1961. "A Network Flow Computation for Project Cost Curves," Management Science, INFORMS, vol. 7(2), pages 167-178, January.
    4. 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.
    5. Sprecher, Arno & Hartmann, Sönke & Drexl, Andreas, 1994. "Project scheduling with discrete time-resource and resource-resource tradeoffs," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 357, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    6. 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.
    7. James H. Patterson, 1976. "Project scheduling: The effects of problem structure on heuristic performance," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(1), pages 95-123, March.
    8. L. R. Lamberson & R. R. Hocking, 1970. "Optimum Time Compression in Project Scheduling," Management Science, INFORMS, vol. 16(10), pages 597-606, June.
    9. James E. Falk & Joel L. Horowitz, 1972. "Critical Path Problems with Concave Cost-Time Curves," Management Science, INFORMS, vol. 19(4-Part-1), pages 446-455, December.
    10. F. Brian Talbot & James H. Patterson, 1978. "An Efficient Integer Programming Algorithm with Network Cuts for Solving Resource-Constrained Scheduling Problems," Management Science, INFORMS, vol. 24(11), pages 1163-1174, July.
    11. 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.
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    1. Arda Turkgenci & Huseyin Guden & Mehmet Gülşen, 2021. "Decomposition based extended project scheduling for make-to-order production," Operational Research, Springer, vol. 21(2), pages 801-825, June.

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