In this paper we report on a study of a two level preemptive priority queue with balking and reneging for lower priority level. The inter-arrival and the service times for both levels follow exponential distribution. We use a finite difference equation approach for solving the balance equations of the governing queuing model whose states are described by functions of one independent variable. H...

Economou and Kanta (2008) [4] considered equilibrium customer strategies in the observable M/M/1 queue with an unreliable server. It is assumed that the server alternates between on and off periods. Upon arrival, the customers can observe the queue length and will decide whether to join or balk the system according to the information about the server’s state based on a linear reward-cost struct...

In this paper, we consider two basic multi-class call center models, with and without reneging. Customer classes have different priorities. The content of different types of calls is assumed to be similar allowing their service times to be identical. We study the problem of announcing delays to customers upon their arrival. For the simplest model without reneging, we give a method to estimate v...

Information about delays can enhance service quality in many industries. Delay information can take many forms, with different degrees of precision. Different levels of information have different effects on customers and so on the overall system. To explore these effects, we consider a queue with balking under three levels of delay information: no information, partial information (the system oc...

This paper presents an analysis for an M/M/1/N queueing system with balking, reneging and server vacations. Arriving customers balk (do not enter) with a probability and renege (leave the queue after entering) according to a negative exponential distribution. It is assumed that the server has a multiple vacation. By using the Markov process method, we first develop the equations of the steady s...

This paper investigate a queueing model where in customers arrive in batches according to compound Poisson process with rate λ and are served one by one in FIFO basis. All incoming customers demand the first ’essential’ service wherein only some of them demand the second ’optional’ service. The service times of both essential and optional services follow arbitrary(general)distribution with diff...

The quality of service provides a competitive edge to any business firm. Lack of better service quality mechanism may lead to the dissatisfied customers (feedback customers). This causes loss of goodwill among the customers and finally, the firms may lose their potential customers. Further, due to long wait customers may get impatient, and may abandon the queueing system before getting service....

People tend to lack the self control to undergo an unpleasant service that would generate future bene…ts. This paper derives a tractable quasi-hyperbolic discounting model of that behavioral tendency (for queueing systems in which service time is short relative to the time horizon for its bene…ts, and customers observe the queue). People’s lack of self control makes it socially optimal to hide ...

---------------------------------------------------------------ABSTRACT-----------------------------------------------------In this paper, an M/M/1 queueing system with server Start-up, N-Policy, breakdowns at two phases of service and Balking is analyzed. Customers arrive at the system according to a Poisson process. They receive the first phase service as a batch followed by second essential ...