On (a; c; b) Policy Queue with Change Over Times Under Bernoulli Schedule Vacation Interruption

This paper analyzes a renewal input working vacations queue with change over times and Bernoulli schedule vacation interruption under (a; c; b) policy. The service and vacation times are exponentially distributed. The server begins service if there are at least c units in the queue and the service takes place in batches with a minimum of size a and a maximum of size b (a c b). The change over periods follow if there are (c-1) customers at vacation completion instant or (a-1) customers at service completion instant. The steady state queue length distributions at arbitrary and pre-arrival epochs are obtained. Performance measures and optimal cost policy are presented with numerical experiences. The genetic algorithm and quadratic t search method are employed to search the optimal values of some important parameters of the system.