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Local search techniques for the generalized resource constrained project scheduling problem

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  • Scott E. Sampson
  • Elliott N. Weiss

Abstract

In this article we address the problem of scheduling a single project network with both precedence and resource constraints through the use of a local search technique. We choose a solution definition which guarantees precedence feasibility, allowing the procedure to focus on overcoming resource infeasibility. We use the 110‐problem data set of Patterson to test our procedure. Our results indicate a significant improvement over the best heuristic results reported to date for these problems (Bell and Han [1]). Two major advantages of the local search algorithm are its ability to handle arbitrary objective functions and constraints and its effectiveness over a wide range of problem sizes. We present a problem example with an objective function and resource constraints which include nonlinear and non‐continuous components, which are easily considered by the procedure. The results of our algorithm are significantly better than random solutions to the problem. © 1993 John Wiley & Sons, Inc.

Suggested Citation

  • Scott E. Sampson & Elliott N. Weiss, 1993. "Local search techniques for the generalized resource constrained project scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(5), pages 665-675, August.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:5:p:665-675
    DOI: 10.1002/1520-6750(199308)40:53.0.CO;2-J
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    References listed on IDEAS

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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. James H. Patterson, 1973. "Alternate methods of project scheduling with limited resources," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(4), pages 767-784, December.
    3. Eglese, R. W., 1990. "Simulated annealing: A tool for operational research," European Journal of Operational Research, Elsevier, vol. 46(3), pages 271-281, June.
    4. Asoo J. Vakharia & Yih‐Long Chang, 1990. "A simulated annealing approach to scheduling a manufacturing cell," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(4), pages 559-577, August.
    5. Jerome D. Wiest, 1967. "A Heuristic Model for Scheduling Large Projects with Limited Resources," Management Science, INFORMS, vol. 13(6), pages 359-377, February.
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    7. Valadares Tavares, Luis & Weglarz, Jan, 1990. "Project management and scheduling: A permanent challenge for OR," European Journal of Operational Research, Elsevier, vol. 49(1), pages 1-2, November.
    8. 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.
    9. Edward W. Davis & George E. Heidorn, 1971. "An Algorithm for Optimal Project Scheduling under Multiple Resource Constraints," Management Science, INFORMS, vol. 17(12), pages 803-816, August.
    10. Colin E. Bell & Kwangho Park, 1990. "Solving resource‐constrained project scheduling problems by a* search," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(1), pages 61-84, February.
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    13. De Wit, Jan & Herroelen, Willy, 1990. "An evaluation of microcomputer-based software packages for project management," European Journal of Operational Research, Elsevier, vol. 49(1), pages 102-139, November.
    14. 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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    Cited by:

    1. Rainer Kolisch & Andreas Drexl, 1996. "Adaptive search for solving hard project scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(1), pages 23-40, February.
    2. Sönke Hartmann, 2002. "A self‐adapting genetic algorithm for project scheduling under resource constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(5), pages 433-448, August.
    3. Sönke Hartmann, 1998. "A competitive genetic algorithm for resource‐constrained project scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(7), pages 733-750, October.

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