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Mathematical Solution of Parts Requirements Problems

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  • Bernard Giffler

    (C-E-I-R, Inc.)

Abstract

This paper describes a matrix algebraic theory and techniques for defining and solving general parts requirements problems. These include problems to check bills of materials for feasibility, to generate and up-date total requirements, to explode the gross requirements necessary to produce a given product mix, to net the gross requirements against surplus inventory and to generate the capacity and cost restraints in LP models to determine optimal product and resource mixes. The intent of the work is two-fold: (1) to demonstrate the use of matrix algebraic techniques to speed and compact the logical and numerical operations in solving parts requirements problems and (2) to develop a concise and unambiguous mathematical theory for parts requirements problems so that production engineers, mathematicians and programmers can cooperate more easily in their definition and solution.

Suggested Citation

  • Bernard Giffler, 1965. "Mathematical Solution of Parts Requirements Problems," Management Science, INFORMS, vol. 11(9), pages 847-867, July.
    • Handle: RePEc:inm:ormnsc:v:11:y:1965:i:9:p:847-867
    DOI: 10.1287/mnsc.11.9.847
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    Cited by:

    1. Baptiste Bahu & Laurent Bironneau & Vincent Hovelaque & Laurent Vigouroux, 2018. "Le Ddmrp : Premiers Éléments Empiriques De Compréhension De Son Choix Et De Son Fonctionnement," Post-Print hal-01945973, HAL.

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