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A heterogeneous two-server queueing system with balking and server breakdowns.
| Content Provider | CiteSeerX |
|---|---|
| Author | Yue, Dequan Yue, Wuyi Yu, Jun Tian, Ruiling |
| Abstract | Abstract In this paper, we study an M/M/2 queueing system with balking and two heterogeneous servers, Server 1 and Server 2. Customers arrive according to a Poisson process and form a single waiting line. Two parallel servers provide heterogeneous exponential service to customers on a firstcome first-served basis. It is assumed that Server 1 is perfectly reliable and Server 2 is subject to breakdowns. For this system, we obtain the stationary condition where the system reaches a steady state. We also obtain the steady-state probabilities in a matrix form by using a matrix-geometric solution method. Finally, we produce explicit expressions of some performance measures such as the mean system size, the average balking rate and the probabilities that Server 2 is in various states. Numerical illustrations are also provided. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Server Breakdown Heterogeneous Two-server Queueing System Heterogeneous Exponential Service Explicit Expression Steady-state Probability Stationary Condition Parallel Server Matrix Form Various State Heterogeneous Server Poisson Process Average Balking Rate Firstcome First-served Basis Mean System Size Numerical Illustration Performance Measure Steady State Matrix-geometric Solution Method Single Waiting Line |
| Content Type | Text |
