Equilibrium Customer Strategies in the Single-Server Constant Retrial Queue with Breakdowns and Repairs

Equilibrium Customer Strategies and Social-profit Maximization in the Single Server Constant Retrial Queue

We consider the single server constant retrial queue with a Poisson arrival process and exponential service and retrial times. This system has not waiting space, so the customers that find the server busy are forced to abandon the system, but they can leave their contact details. Hence, after a service completion, the server seeks for a customer among those that have unsuccessfully applied for ...

New results on equilibrium balking strategies in the single-server queue with breakdowns and repairs

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...

Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs

Retrial queues have been widely used to model many problems arising in telephone switching systems, telecommunication networks, computer networks and computer systems, etc. It is of basic importance to study reliability of retrial queues with server breakdowns and repairs because of limited ability of repairs and heavy influence of the breakdowns on the performance measure of the system. Howeve...

Retrial Queues with Server Subject to Breakdowns and Repairs

A BMAP/G/1 Retrial Queue with a Server Subject to Breakdowns and Repairs

In this paper, we consider a BMAP/G/1 retrial queue with a server subject to breakdowns and repairs, where the life time of the server is exponential and the repair time is general. We use the supplementary variable method, which combines with the matrix-analytic method and the censoring technique, to study the system. We apply the RG-factorization of a level-dependent continuous-time Markov ch...