We consider an M/G/1 queue with general retrial times where the blocked customers may balk the system, or join the priority queue, or enter the orbit. As soon as a customer is served, he will decide either to leave the system or join the orbit for another service in accordance with an FCFS discipline. We assume that only the customer at the head of the orbit is allowed to retry for service. We ...

We consider an M/G/1 queue with balking based on the workload. An arriving customer joins the queue and stays until served only if the system workload is below a fixed level at the time of arrival. We use level-crossing argument to derive an integral equation for the steady state workload distribution. We describe a procedure to solve the equation for general distributions and we solve the equa...

This paper studies a service system in which arriving customers are provided with information about the delay they will experience. Based on this information, decide to wait for or leave system. Specifically, every customer has patience threshold, and balk if observed is above threshold. The main objective estimate parameters of customers’ patience-level distribution corresponding potential arr...

This paper deals the transient analysis of a queueing system with working vacation in which server may encounter breakdowns. Customers enter batches according to Poisson process and receive service FCFS mode. Whenever finds nobody, starts during renders at slower rate than normal one. Further, we considered two types customer’s impatience balking reneging. We solved differential equations find ...

this paper investigates a discrete-time impatient customer queue with bernoulli-schedule vacation interruption. the  vacation times and the service times during regular busy period and during working vacation period are assumed to follow geometric distribution. we obtain the steady-state probabilities at arbitrary and outside observer's observation epochs using recursive technique. cost an...

In this paper, a meta-heuristic method, the Bat Algorithm, based on the echolocation behavior of bats is used to determine the optimum service rate of a queue problem. A finite buffer M/M/1 queue with N policy, multiple working vacations and Bernoulli schedule vacation interruption is considered. Under the two customers' impatient situations, balking and reneging, the...