Impatient Customers in an Markovian Queue with Bernoulli Schedule Working Vacation Interruption and Setup Time

Authors

P. Manoharan, Annamalai University
T. Jeeva, Annamalai University

Abstract

In this paper, using probability generating function method, Impatient customers in an Markovian queue with Bernoulli schedule working vacation interruption and setup time is discussed. Customers impatience is due to the servers vacation. During the working vacation period, if there are customers in the queue, the vacation can be interrupted at a service completion instant and the server begins a regular service period with probability (1 - b) or continues the vacation with probability b. We obtain the probability generating functions of the stationary state probabilities, performance measures, sojourn time of a customer and stochastic decomposition of the queue length, waiting time and numerical results.

Recommended Citation

Manoharan, P. and Jeeva, T. (2020). Impatient Customers in an Markovian Queue with Bernoulli Schedule Working Vacation Interruption and Setup Time, Applications and Applied Mathematics: An International Journal (AAM), Vol. 15, Iss. 2, Article 3.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss2/3