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A Variational Study of Optimal Resource Profiles

Author

Listed:
  • G. Cullingford

    (The University of Nottingham)

  • J. D. C. A. Prideaux

    (British Railways Board)

Abstract

The paper describes a method of supplementing network analysis by taking a global view of project planning. The sequencing constraints normally found in a project are condensed into restrictions on the quantity of work performed by any stage in its duration. The objective is to minimise cost, where cost is considered to vary both with project duration and with the instantaneous rate of change of resource. Variational methods are used to produce optimal work-time and resource-time project profiles. The form of some constraints likely to arise in a project is considered, and the best profiles subject to certain constraints are derived and discussed. The techniques have been used to obtain a lower bound to project cost and to estimate ideal project duration.

Suggested Citation

  • G. Cullingford & J. D. C. A. Prideaux, 1973. "A Variational Study of Optimal Resource Profiles," Management Science, INFORMS, vol. 19(9), pages 1067-1081, May.
    • Handle: RePEc:inm:ormnsc:v:19:y:1973:i:9:p:1067-1081
    DOI: 10.1287/mnsc.19.9.1067
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    Cited by:

    1. Jorge A. Becerril & Javier F. Rosenblueth, 2017. "The Importance of Being Normal, Regular and Proper in the Calculus of Variations," Journal of Optimization Theory and Applications, Springer, vol. 172(3), pages 759-773, March.

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