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Solving time/cost trade‐off problems with discounted cash flows using generalized benders decomposition

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  • S. Selcuk Erenguc
  • Suleyman Tufekci
  • Christopher J. Zappe

Abstract

In this article we consider a project scheduling problem where there are cash flows throughout the life of the project and where shorter activity durations can be attained by incurring greater direct costs. In particular, the objective of this problem is to determine the activity durations and a schedule of activity start times so that the net present value of cash flows is maximized. We formulate this problem as a mixed‐integer nonlinear program which is amenable to solution using the generalized Benders decomposition technique developed by Geoffrion. We test the algorithm on 140 project scheduling problems, the largest of which contains 30 nodes and 64 activities. Our computational results are quite encouraging inasmuch as 123 of the 140 problems require less than 1 CPU second of solution time. © 1993 John Wiley & Sons, Inc.

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  • S. Selcuk Erenguc & Suleyman Tufekci & Christopher J. Zappe, 1993. "Solving time/cost trade‐off problems with discounted cash flows using generalized benders decomposition," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(1), pages 25-50, February.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:1:p:25-50
    DOI: 10.1002/1520-6750(199302)40:13.0.CO;2-2
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    References listed on IDEAS

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    1. Richard C. Grinold, 1972. "The payment scheduling problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 19(1), pages 123-136, March.
    2. Robert A. Russell, 1986. "A Comparison of Heuristics for Scheduling Projects with Cash Flows and Resource Restrictions," Management Science, INFORMS, vol. 32(10), pages 1291-1300, October.
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