Operating characteristic analysis on the M/G/1 system with a variant vacation policy and balking |
| |
Authors: | Jau-Chuan Ke |
| |
Institution: | Department of Statistics, National Taichung Institute of Technology, Sanmin Road No. 129, Sec. 3, Taichung 404, Taiwan, ROC |
| |
Abstract: | This paper studies the operating characteristics of an Mx]/G/1 queueing system under a variant vacation policy, where the server leaves for a vacation as soon as the system is empty. The server takes at most J vacations repeatedly until at least one customer is found waiting in the queue when the server returns from a vacation. If the server is busy or on vacation, an arriving batch balks (refuses to join) the system with probability 1 − b. We derive the system size distribution at different points in time, as well as the waiting time distribution in the queue. Finally, important system characteristics are derived along with some numerical illustration. |
| |
Keywords: | Balking Busy period and idle period distribution Markov process Supplemental variable Waiting time distribution |
本文献已被 ScienceDirect 等数据库收录! |
|