A Queuing Approach to Logistics Systems

Noel M. Mirasol
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Noel M. Mirasol: Case Institute of Technology, Cleveland, Ohio

Operations Research, 1964, vol. 12, issue 5, 707-724

Abstract: This paper deals with tradeoffs and major interactions among the different activities in logistics systems. Specifically, the problem of “interchange-ability” between maintenance and supply, embodied in the question of “subassembly vs. piece-part replacement,” is considered. The approach presented consists of a novel method of systems representation: A basic model, which is fundamentally a multistage circular queuing system, is developed for each of the units (assemblies, subassemblies, etc.) that constitute an equipment system. These elementary systems are then connected together with the pattern of linkage made to correspond to the technological breakdown of the over-all system. An interesting result of this approach is that the important measure of effectiveness for any unit is not only its unavailability (probability of stockout), but also the duration of unavailability. Iterative solutions in the case of linear cost functions, a total cost constraint, and the usual exponential assumptions are also presented.

Date: 1964
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