Abstract
In this article, we consider a multi server Markovian queueing system with working vacation. During busy period, the arrival and service completion are generated by K distinct randomly varying environments. At a service completion epoch, if no customer in the system, the servers take vacation, the vacation policy is multiple vacation policy and the vacation period follows negative exponential distribution. In addition, during vacation period the servers serve customers if they arrive. Based on the vacation termination point we define two Models. For the two models, the steady state probability vector of number of customers in the queue, the stability condition and some performance measures are derived. Some illustrative examples are also provided.
Recommended Citation
Sundaramoorthy, A. and Kalyanaraman, R.
(2025).
(R2132) A Multi Server Markovian Working Vacation Queue with Randomly Varying Environment,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
2, Article 3.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss2/3