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.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.