| dc.creator (作者) | Xiuli Chao | en_US |
| dc.creator (作者) | 陸行 | zh_TW |
| dc.date (日期) | 2004-11 | en_US |
| dc.date.accessioned | 24-十二月-2008 13:30:18 (UTC+8) | - |
| dc.date.available | 24-十二月-2008 13:30:18 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-十二月-2008 13:30:18 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/18705 | - |
| dc.description.abstract (摘要) | Second order properties of queues are important in design and analysis of service systems. In this paper we show that the blocking probability of M/M/C/N queue is increasing directionally convex in (λ,−μ), where λ is arrival rate and μ is service rate. To illustrate the usefulness of this result we consider a heterogeneous queueing system with non-stationary arrival and service processes. The arrival and service rates alternate between two levels (λ1,μ1) and (λ2,μ2), spending an exponentially distributed amount of time with rate cα i in level i, i=1,2. When the system is in state i, the arrival rate is λ i and the service rate is μ i . Applying the increasing directional convexity result we show that the blocking probability is decreasing in c, extending a result of Fond and Ross [7] for the case C=N=1. | en_US |
| dc.format | application/ | en_US |
| dc.language | en | en_US |
| dc.language | en-US | en_US |
| dc.language.iso | en_US | - |
| dc.relation (關聯) | Queueing Systems: Theory and Applications, 48(3/4), 399-419 | en_US |
| dc.subject (關鍵詞) | heterogeneous queues;monotonicity;blocking probability;stochastic directional convexit;increasing convex ordering | en_US |
| dc.title (題名) | A Stochastic Directional Convexity Result and Its Application in Comparison of Queues | en_US |
| dc.type (資料類型) | article | en |
| dc.identifier.doi (DOI) | 10.1023/B:QUES.0000046583.57857.f1 | en_US |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1023/B:QUES.0000046583.57857.f1 | en_US |
