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Decomposition of Project Networks

Author

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  • Shailendra C. Parikh

    (Applied Mathematics Division, Esso Research and Engineering Company, Florham Park, New Jersey)

  • William S. Jewell

    (Department of Industrial Engineering and Operations Research Center, University of California, Berkeley)

Abstract

This paper considers "critical path" networks which are used for the planning and scheduling of projects that consist of well defined sequences of individual activities. When the number of activities is large, it becomes difficult to prepare a network for the project as one unit, and it may also be difficult to store the network in the high speed memory of a digital computer. Also, in the cases where there are two or more independent projects, which are weakly inter-related by common activities, the problem of efficient scheduling of all the projects becomes quite difficult. This paper presents a method to "tear" or "decompose" a project network into several subnetworks, schedule the subnetworks and then to put the subnetworks back together. A computational algorithm is first given for time-only networks; then two computational formulations are given for cost-time network of project subnetworks. The latter essentially generalize the algorithm due to Fulkerson, in order to handle piecewise linear, convex, cost-time curves for some or all of the activities.

Suggested Citation

  • Shailendra C. Parikh & William S. Jewell, 1965. "Decomposition of Project Networks," Management Science, INFORMS, vol. 11(3), pages 444-459, January.
    • Handle: RePEc:inm:ormnsc:v:11:y:1965:i:3:p:444-459
    DOI: 10.1287/mnsc.11.3.444
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    Cited by:

    1. 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.
    2. Heinemann, Hergen H., 1971. "Ein allgemeines Dekompositionsverfahren fuer lineare Optimierungsprobleme [A General Decomposition Algorithm for Linear Optimization Problems]," MPRA Paper 28842, University Library of Munich, Germany.
    3. Massiani, Jérôme, 2014. "A micro founded approach to the valuation of benefits of freight travel time savings," Research in Transportation Economics, Elsevier, vol. 47(C), pages 61-69.

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