Advertisement

Zeitschrift für Operations Research

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

The inclusion of storage in a queueing system

  • D. G. Carmichael
Article
  • 24 Downloads

Abstract

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.

Keywords

Steady State Discharge Rate System State Exponential Distribution Arrival Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Brooks AC, Shaffer LR (1971) Queuing models for production forecasts of construction operations. Report, Department of Civil Engineering, University of Illinois, Urbana, 89 ppGoogle Scholar
  2. Carmichael DG (1986) Construction and mining engineering queues. Ellis Horwood Ltd (Wiley), 378 ppGoogle Scholar
  3. Halpin DW, Woodhead RW (1976) Design of construction and process operations. WileyGoogle Scholar
  4. Martin GS (1967) Hopper-truck queuing theory model. Department of Civil Engineering, University of Illinois, Urbana.Google Scholar
  5. Morgan JT (1966) Two-link material handling systems. Operations Research 14:16–24Google Scholar

Copyright information

© Physica-Verlag 1986

Authors and Affiliations

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

Personalised recommendations