Abstract
An infinite server queue is considered where customers have a choice of individual service or batch service. Transient results have been obtained for the first two moments of the system size distribution. Waiting time distribution is important in system evaluation and steady state results are obtained.
References
D.F. Holman, M.L. Chaudhry and B.R.K. Kashyap, On the number in the system GIX/M/∞, Sankhyā 44 (1982), Ser. A Pt. 1, 294.
D.F. Holman, M.L. Chaudhry and B.R.K. Kashyap, On the service system MX/G/∞, Eur. J. Opl. Res. 13 (1983) 142.
L. Takács, On a coincidence problem concerning telephone traffic, Acta Math. Sci. Hungarica 9 (1958) 45.
L. Takács,Introduction to the Theory of Queues (Oxford University Press, New York, 1962).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Liu, L., Kashyap, B.R.K. & Templeton, J.G.C. The service system M/MR/∞ with impatient customers. Queueing Syst 2, 363–372 (1987). https://doi.org/10.1007/BF01150047
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01150047