Zeitschrift für Operations Research

, Volume 30, Issue 6, pp B127–B134 | Cite as

The inclusion of storage in a queueing system

  • D. G. Carmichael


Service operations involving an intermediate store are modelled using an extended definition of the system state which is a conventional definition of state supplemented with an indicator of the live capacity in the store. Additional to the parameters of mean service rate and mean arrival rate, a mean discharge rate of the store is introduced and the steady state probabilities are calculated in terms of these three quantities. Both finite source and infinite source cases are considered under the assumption of exponential distributions. The models permit production comparisons for systems with and for systems without storage devices.


Steady State Discharge Rate System State Exponential Distribution Arrival Rate 
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Copyright information

© Physica-Verlag 1986

Authors and Affiliations

  • D. G. Carmichael
    • 1
  1. 1.Department of Civil EngineeringUniversity of Western AustraliaNedlandsWestern Australia

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