A BATCH ARRIVAL QUEUE WITH SECOND OPTIONAL SERVICE AND RENEGING DURING VACATION PERIODS
Keywords:
Second optional service, Reneging, Server vacation, Steady state queue size distributionAbstract
We study a two phase queuing system model where arrivals come to the system in batches of variable size following a compound
Poisson process. We consider that service is provided in two phases, the first service is essential and second service is optional. Service
becomes unavailable when the server goes for vacation and customers may decide to renege. We treat reneging in this paper when
service is unavailable as the server is on vacation. We obtain steady state results in terms of probability generating function. Some
special cases are discussed and a numerical illustration is provided
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Published
2023-05-01
How to Cite
Baruah, M., Madan, K., & Eldabi, T. (2023). A BATCH ARRIVAL QUEUE WITH SECOND OPTIONAL SERVICE AND RENEGING DURING VACATION PERIODS. Investigación Operacional, 34(3). Retrieved from https://revistas.uh.cu/invoperacional/article/view/4746
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