- 期刊
Transient Analysis of a Queue where Potential Customers are Discouraged by Queue Length
摘要
The transient solution is obtained analytically using continued fractions for a state dependent birth-death queue in which potential customers are discouraged by the queue length. This queueing system is then compared with the well-known infinite server queueing system which has the same steady state solution as the model under consideration, whereas their transient solutions are different. A natural measure of speed of convergence of the mean number in the system to its stationarity is also computed.
延伸閱讀
- TADJ, L., BENKHEROUF, L., & AGGOUN, L. (1998). On a Bulk Queueing System with Impatient Customers. Mathematical Problems in Engineering, 1998(), 539-554. https://doi.org/10.1155/S1024123X97000677
- 周宜徵（2014）。The Causes of Affecting the Willingness of Consumers to Queue─Waiting for Gourmet〔碩士論文，國立虎尾科技大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0028-2406201417414000
- Yue, D., Yue, W., & Zhao, G. (2014). Analysis of an M/M/c Queueing System with Impatient Customers and Synchronous Vacations. Journal of Applied Mathematics, 2014(), 926-936-887. https://doi.org/10.1155/2014/893094
- Saravanarajan, M. C., & Chandrasekaran, V. M. (2012). Transient Solution of a Non-empty M/M/1 Queue Subject to Catastrophes, Server Failures and Repairs. International Journal of Information and Management Sciences, (), 409-424. https://doi.org/10.6186/IJIMS.2012.23.4.5
- GALL, P. L. (2000). The Queue-Length in GI/G/s Queues. Mathematical Problems in Engineering, 2000(), 1-11. https://doi.org/10.1155/S1024123X00001228