| 来源类型 | Monograph (IIASA Working Paper) |
| 规范类型 | 论文 |
| Analysing Ek:Er:c Queues. | |
| Adan IJBF; Waarsenburg WA van de; Wessels J | |
| 发表日期 | 1992 |
| 出版者 | IIASA, Laxenburg, Austria: WP-92-047 |
| 出版年 | 1992 |
| 语种 | 英语 |
| 摘要 | In this paper we study a system consisting of parallel identical servers and a common queue. The service times are Erlang-r distributed and the interarrival times are Erlang-k distributed. The service discipline is first-come first-served. Bertsimas has proved that the equilibrium probability for a saturated state can be written as a linear combination of geometric terms. In the present paper it is shown that the coefficients also have a geometric form. It is also shown how the factors may be found efficiently. The present paper uses a direct approach for solving the equilibrium equations rather than a generating function approach as Bertsimas does. The direct approach was inspired by previous work of two of the authors on the shortest queue problem, in particular, and on the two-dimensional random walk, more generally. Although the paper extends results of Bertsimas it is self-contained. |
| 主题 | Methodology of Decision Analysis (MDA) |
| URL | http://pure.iiasa.ac.at/id/eprint/3651/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/124035 |
| 推荐引用方式 GB/T 7714 | Adan IJBF,Waarsenburg WA van de,Wessels J. Analysing Ek:Er:c Queues.. 1992. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| WP-92-047.pdf（510KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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