A MATRIX GEOMETRIC SOLUTION OF A MULTI-SERVER QUEUE WITH WAITING SERVERS AND CUSTOMERS' IMPATIENCE UNDER VARIANT WORKING VACATION AND VACATION INTERRUPTION.

Autor: ZIAD, Ines, LAXMI, P. Vijaya, BHAVANI, E. Girija, BOUCHENTOUF, Amina Angelika, MAJID, Shakir
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Zdroj: Yugoslav Journal of Operations Research; 2023, Vol. 33 Issue 3, p389-407, 19p
Abstrakt: This paper deals with a M/M/c queueing system with waiting servers, balking, reneging, and K-variant working vacations subjected to Bernoulli schedule vacation interruption. Whenever the system is emptied, the servers wait for a while before synchronously going on vacation during which services are offered with a lower rate. We obtain the steady-state probabilities of the system using the matrix-geometric method. In addition, we derive important performance measures of the queueing model. Moreover, we construct a cost model and apply a direct search method to get the optimum service rates during both working vacation and regular working periods at lowest cost. Finally, numerical results are provided. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index