A BATCH ARRIVAL QUEUE WITH SECOND OPTIONAL SERVICE AND RENEGING DURING VACATION PERIODS

Authors

  • Monita Baruah Brunel University, UK
  • KailashC.Madan ollege of Information Technology, Ahlia University, Kingdom of Bahrain Brunel Business School, Brunel University
  • TillalEldabi Brunel University

Keywords:

Second optional service, Reneging, Server vacation, Steady state queue size distribution

Abstract

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