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A Dynamic Model for the Optimal Loading of Linear Multi-Operation Shops


  • Salah E. Elmaghraby

    (Department of Industrial Administration, Yale University and The RAND Corporation)

  • Allen S. Ginsberg

    (Department of Industrial Administration, Yale University and The RAND Corporation)


Because of the stochastic nature of the parameters in the general job shop problem (e.g., estimates of processing times; estimates of delay times; the sequence of operations; the availability of processing units; etc.), Monte Carlo simulation has been the principal tool of analysis. In particular, a large proportion of studies was focused on the indirect control of the functions of scheduling and loading by the device of assigning priorities to the various jobs in the shop. In this paper, we depart from this tradition for two good reasons. First, the linear characteristic of flow eliminates an important disrupting factor present in the general problem treated by the other authors. Second, priority decision rules are perhaps the last sphere of decision open to managers and may have a very limited effect since they are seriously constrained by previously-made decisions. In fact, priority decisions, coming as they do at the "tail" of the decision process, may prove ineffectual in the face of previously-established sales quantities, promised due dates, capacity limitations, etc. Consequently, a study of the "higher echelon" decisions of scheduling and loading is necessitated. "Management Technology", ISSN 0542-4917, was published as a separate journal from 1960 to 1964. In 1965 it was merged into Management Science.

Suggested Citation

  • Salah E. Elmaghraby & Allen S. Ginsberg, 1964. "A Dynamic Model for the Optimal Loading of Linear Multi-Operation Shops," Management Science, INFORMS, vol. 0(1), pages 47-58, June.
  • Handle: RePEc:inm:ormnsc:v:mt-4:y:1964:i:1:p:47-58

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    Cited by:

    1. Kimms, Alf & Drexl, Andreas, 1996. "Multi-level lot sizing: A literature survey," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 405, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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