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A Priority Queuing System with Server-Walking Time

Author

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  • Charles E. Skinner

    (IBM, Kingston, New York)

Abstract

This paper is concerned with the queuing process which arises when one imposes nonzero crossover times on a nonpreemptive priority system with two classes of customers. The objective is to derive the Laplace-Stieltjes transform of the waiting-time distribution function and the queue-size generating function for each class of customers. The results are obtained by first analyzing a simple single queue model with walking time and then extending this model to fit the two queue problem by an appropriate choice of variables.

Suggested Citation

  • Charles E. Skinner, 1967. "A Priority Queuing System with Server-Walking Time," Operations Research, INFORMS, vol. 15(2), pages 278-285, April.
    • Handle: RePEc:inm:oropre:v:15:y:1967:i:2:p:278-285
    DOI: 10.1287/opre.15.2.278
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    Cited by:

    1. Offer Kella, 1989. "The threshold policy in the M/G/1 queue with server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(1), pages 111-123, February.
    2. S. W. Fuhrmann & A. Moon, 1990. "Queues served in cyclic order with an arbitrary start‐up distribution," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(1), pages 123-133, February.
    3. J. George Shanthikumar, 1989. "Level crossing analysis of priority queues and a conservation identity for vacation models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(6), pages 797-806, December.

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