Bulk Service Queuing System with Impatient Customers: A Computational Approach

Authors

  • Kuntal Bakuli Department of Statistics, University of Calcutta, Kolkata, West Bengal, India
  • Manisha Pal Department of Statistics, University of Calcutta, Kolkata, West Bengal, India

Keywords:

Queuing, Poisson arrival, batch service, reneging customers, embedded Markov chain

Abstract

The paper investigates a M/M(b,b)/1 queuing model with bulk service. The server serves the customers in batches of fixed size b, and the service time is assumed to be exponentially distribution. Customers arrive to the system as a Poisson process and may renege after waiting in the queue for an exponentially distributed time. The reneging of a customer depends on the state of the system. The model is analyzed to find the different measures of effectiveness of the model. The approach adopted is based on embedded Markov chains.

Downloads

How to Cite

Bakuli, K., & Pal, M. (2017). Bulk Service Queuing System with Impatient Customers: A Computational Approach. Thailand Statistician, 15(1), 1–10. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/74239

Issue

Vol. 15 No. 1 (2017): January

Section

Articles