Queueing models for a flexible machining station Part I : The diffusion approximation

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)233-240
Journal / PublicationEuropean Journal of Operational Research
Issue number2
Publication statusPublished - Feb 1985
Externally publishedYes


A work station in a flexible manufacturing system (fms) typically has a set of parallel machines with a general machining-time distribution and a limited local storage. The station is modeled as a G/G/c/N queue. A diffusion process with two boundaries associated with elementary return processes is formulated to approximate the queueing process. Approximate solutions to major performance measures are derived. The model is most suitable for queues where both the interarrival and the service times have a small (not greater than one) squared coefficient of variation. © 1985.

Research Area(s)

  • diffusion approximation, Flexible manufacturing systems, queueing models