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A heuristic procedure for solving the dynamic probabilistic project expediting problem

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  • Bregman, Robert L.

Abstract

Because of activity duration uncertainties, large-scale projects can often be modeled most realistically as probabilistic activity networks. The complex interactions among activities with uncertain durations virtually assures a low probability that these projects will be completed before predetermined due dates. As a result, it is often necessary to expedite individual activities in these projects to improve due date performance. This research introduces a dynamically applied matrix simulation approach for selecting expediting options in order to control the probability of successful project completion before predefined due dates. Experiments are conducted to demonstrate the ability of this new approach to generate quality alternatives and efficiently evaluate large-scale projects.

Suggested Citation

  • Bregman, Robert L., 2009. "A heuristic procedure for solving the dynamic probabilistic project expediting problem," European Journal of Operational Research, Elsevier, vol. 192(1), pages 125-137, January.
  • Handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:125-137
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    as
    1. Thomas J. Hindelang & John F. Muth, 1979. "A Dynamic Programming Algorithm for Decision CPM Networks," Operations Research, INFORMS, vol. 27(2), pages 225-241, April.
    2. Demeulemeester, Erik L. & Herroelen, Willy S. & Elmaghraby, Salah E., 1996. "Optimal procedures for the discrete time/cost trade-off problem in project networks," European Journal of Operational Research, Elsevier, vol. 88(1), pages 50-68, January.
    3. Nicolai Siemens, 1971. "A Simple CPM Time-Cost Tradeoff Algorithm," Management Science, INFORMS, vol. 17(6), pages 354-363, February.
    4. Bajis Dodin, 1984. "Determining the K Most Critical Paths in PERT Networks," Operations Research, INFORMS, vol. 32(4), pages 859-877, August.
    5. Bajis M. Dodin & Salah E. Elmaghraby, 1985. "Approximating the Criticality Indices of the Activities in PERT Networks," Management Science, INFORMS, vol. 31(2), pages 207-223, February.
    6. D. R. Fulkerson, 1961. "A Network Flow Computation for Project Cost Curves," Management Science, INFORMS, vol. 7(2), pages 167-178, January.
    7. De Reyck, Bert & Herroelen, Willy, 1996. "On the use of the complexity index as a measure of complexity in activity networks," European Journal of Operational Research, Elsevier, vol. 91(2), pages 347-366, June.
    8. Kress, Moshe, 1984. "The chance constrained critical path with location-scale distributions," European Journal of Operational Research, Elsevier, vol. 18(3), pages 359-363, December.
    9. A. Charnes & W. W. Cooper & G. L. Thompson, 1964. "Critical Path Analyses Via Chance Constrained and Stochastic Programming," Operations Research, INFORMS, vol. 12(3), pages 460-470, June.
    10. Richard A. Kaimann, 1974. "Coefficient of Network Complexity," Management Science, INFORMS, vol. 21(2), pages 172-177, October.
    11. Siemens, Nicolai & Gooding, Carl, 1975. "Reducing project duration at minimum cost: A time-cost tradeoff algorithm," Omega, Elsevier, vol. 3(5), pages 569-581, October.
    12. Sigal, C.E. & Pritsker, A.A.B. & Solberg, J.J., 1979. "The use of cutsets in Monte Carlo analysis of stochastic networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 21(4), pages 376-384.
    13. Baiocchi, Giovanni, 2004. "Using Perl for Statistics: Data Processing and Statistical Computing," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 11(i01).
    14. Ragsdale, C, 1989. "The current state of network simulation in project management theory and practice," Omega, Elsevier, vol. 17(1), pages 21-25.
    15. 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.
    16. Herroelen, Willy & Leus, Roel, 2005. "Project scheduling under uncertainty: Survey and research potentials," European Journal of Operational Research, Elsevier, vol. 165(2), pages 289-306, September.
    17. Prabuddha De & E. James Dunne & Jay B. Ghosh & Charles E. Wells, 1997. "Complexity of the Discrete Time-Cost Tradeoff Problem for Project Networks," Operations Research, INFORMS, vol. 45(2), pages 302-306, April.
    18. Elmaghraby, Salah E. & Herroelen, Willy S., 1980. "On the measurement of complexity in activity networks," European Journal of Operational Research, Elsevier, vol. 5(4), pages 223-234, October.
    19. D. G. Malcolm & J. H. Roseboom & C. E. Clark & W. Fazar, 1959. "Application of a Technique for Research and Development Program Evaluation," Operations Research, INFORMS, vol. 7(5), pages 646-669, October.
    20. Elmaghraby, Salah E. & Soewandi, Hanijanto & Yao, Ming-Jong, 2001. "Chance-constrained programming in activity networks: A critical evaluation," European Journal of Operational Research, Elsevier, vol. 131(2), pages 440-458, June.
    21. Steve Phillips, Jr. & Mohamed I. Dessouky, 1977. "Solving the Project Time/Cost Tradeoff Problem Using the Minimal Cut Concept," Management Science, INFORMS, vol. 24(4), pages 393-400, December.
    22. De, Prabuddha & James Dunne, E. & Ghosh, Jay B. & Wells, Charles E., 1995. "The discrete time-cost tradeoff problem revisited," European Journal of Operational Research, Elsevier, vol. 81(2), pages 225-238, March.
    23. L. R. Lamberson & R. R. Hocking, 1970. "Optimum Time Compression in Project Scheduling," Management Science, INFORMS, vol. 16(10), pages 597-606, June.
    24. William R. King & Talmadge A. Wilson, 1967. "Subjective Time Estimates in Critical Path Planning--A Preliminary Analysis," Management Science, INFORMS, vol. 13(5), pages 307-320, January.
    25. J. J. Martin, 1965. "Distribution of the Time Through a Directed, Acyclic Network," Operations Research, INFORMS, vol. 13(1), pages 46-66, February.
    26. W. J. Gutjahr & C. Strauss & E. Wagner, 2000. "A Stochastic Branch-and-Bound Approach to Activity Crashing in Project Management," INFORMS Journal on Computing, INFORMS, vol. 12(2), pages 125-135, May.
    27. Don R. Robinson, 1975. "A Dynamic Programming Solution to Cost-Time Tradeoff for CPM," Management Science, INFORMS, vol. 22(2), pages 158-166, October.
    28. R. A. Bowman, 1995. "Efficient Estimation of Arc Criticalities in Stochastic Activity Networks," Management Science, INFORMS, vol. 41(1), pages 58-67, January.
    29. Foldes, Stephan & Soumis, Francois, 1993. "PERT and crashing revisited: Mathematical generalizations," European Journal of Operational Research, Elsevier, vol. 64(2), pages 286-294, January.
    30. James E. Kelley, 1961. "Critical-Path Planning and Scheduling: Mathematical Basis," Operations Research, INFORMS, vol. 9(3), pages 296-320, June.
    31. John M. Burt, Jr. & Mark B. Garman, 1971. "Conditional Monte Carlo: A Simulation Technique for Stochastic Network Analysis," Management Science, INFORMS, vol. 18(3), pages 207-217, November.
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    Cited by:

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    3. Trietsch, Dan & Mazmanyan, Lilit & Gevorgyan, Lilit & Baker, Kenneth R., 2012. "Modeling activity times by the Parkinson distribution with a lognormal core: Theory and validation," European Journal of Operational Research, Elsevier, vol. 216(2), pages 386-396.

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