Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yang, Dong-Yuh | en_US |
dc.contributor.author | Chen, Yi-Hsuan | en_US |
dc.contributor.author | Wu, Chia-Huang | en_US |
dc.date.accessioned | 2019-08-02T02:15:34Z | - |
dc.date.available | 2019-08-02T02:15:34Z | - |
dc.date.issued | 1970-01-01 | en_US |
dc.identifier.issn | 0020-7543 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1080/00207543.2019.1624856 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/152247 | - |
dc.description.abstract | This paper presents a steady-state analysis of an M/M/2 queue with heterogeneous servers (Server 1 and Server 2). Server 1 is reliable and may leave for a vacation when the system becomes empty. Sever 2 is unreliable and may break down while serving customers. When a breakdown occurs, Server 2 reduces the service rate rather than halting service. We formulate this queueing model as a quasi birth-and-death (QBD) process, using the matrix geometric method to compute the stationary distribution of system size. We also develop several measures to evaluate the performance of the system. A cost model based on system performance measures is formulated as a heuristic cost optimisation problem subject to stability conditions. A canonical particle swarm optimisation algorithm is used to obtain numerical solutions for the approximate optimal service rates of Server 1 and Server 2. Moreover, we present numerical results showing the effects of various parameters on the approximate optimal service rates as well as a practical example illustrating the application of the proposed model. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | canonical particle swarm optimisation algorithm | en_US |
dc.subject | heterogeneous servers | en_US |
dc.subject | matrix geometric method | en_US |
dc.subject | multiple vacations | en_US |
dc.subject | working breakdown | en_US |
dc.title | Modelling and optimisation of a two-server queue with multiple vacations and working breakdowns | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1080/00207543.2019.1624856 | en_US |
dc.identifier.journal | INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH | en_US |
dc.citation.spage | 0 | en_US |
dc.citation.epage | 0 | en_US |
dc.contributor.department | 工業工程與管理學系 | zh_TW |
dc.contributor.department | Department of Industrial Engineering and Management | en_US |
dc.identifier.wosnumber | WOS:000474103000001 | en_US |
dc.citation.woscount | 0 | en_US |
Appears in Collections: | Articles |