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A Discrete-Time Queuing Analysis of Conveyor-Serviced Production Stations

Author

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  • Charles S. Beightler

    (The University of Texas, Austin, Texas)

  • Robert M. Crisp

    (The University of Arkansas, Fayetteville, Arkansas)

Abstract

This paper analyzes production stations that operate in conjunction with conveyors. Two types of production stations are considered: (1) loading stations that load processed material to the conveyor, and (2) unloading stations that remove material from the conveyor. An operating policy, the sequential range policy, is proposed as a method for operating the production stations. An analysis of the sequential range policy is given. The system is considered as a discrete-time queuing process with a stationary Bernoulli arrival rate. In-process storage is treated as a Markov process discrete in time and discrete in space. The expected number of units in storage and the expected delay per unit produced are derived. Certain economic problems are considered.

Suggested Citation

  • Charles S. Beightler & Robert M. Crisp, 1968. "A Discrete-Time Queuing Analysis of Conveyor-Serviced Production Stations," Operations Research, INFORMS, vol. 16(5), pages 986-1001, October.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:5:p:986-1001
    DOI: 10.1287/opre.16.5.986
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