AN M/M/1 QUEUEING SYSTEM WITH INTERRUPTED ARRIVAL STREAM

Authors

  • K.C. Madan Department of Statistics, College of Science, Yarmouk University, Irbid

Keywords:

interrupted arrival stream, variable batch arrivals, exponential service, probability generating function, steady state, utilization time, idle time, mean number in the system

Abstract

We study an M/M/1 queueing system in which the arrival stream is 'shut off' from time to time. The time- dependent probability generating functions of the number in the system have been found. The corresponding steady state results have been derived. The mean number in the system as well as server's utilization time and idle time have been obtained explicity. In a particular case, some well- known results have been derived.

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Published

2023-06-29

How to Cite

Madan, K. (2023). AN M/M/1 QUEUEING SYSTEM WITH INTERRUPTED ARRIVAL STREAM. Investigación Operacional, 21(1). Retrieved from https://revistas.uh.cu/invoperacional/article/view/7096

Issue

Vol. 21 No. 1 (2000): Investigacion Operacional

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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