Name
Abstract | ||
|---|---|---|
Asymptotic formulas are derived for the partition function of a class of closed product form networks with queue dependent service rates. The paper thus extends a recently developed method for the asymptotic evaluation of the partition function based on its integral representation in complex space and the saddle point method. Asymptotics are derived for the partition function in normal, moderate and heavy traffic conditions at the bottleneck nodes. The accuracy of the approximations is evaluated through numerical case studies. |
Year | DOI | Venue |
|---|---|---|
1991 | 10.1016/B978-0-444-89404-5.50021-3 | Performance of Distributed Systems and Integrated Communication Networks |
Keywords | Field | DocType |
asymptotic analysis,closed queueing network | Discrete mathematics,Applied mathematics,Bottleneck,Saddle point,Partition function (statistical mechanics),Queue,Asymptotic analysis,Queueing theory,Complex space,Asymptotic analysis,Mathematics | Conference |
ISBN | Citations | PageRank |
0-444-89404-7 | 10 | 2.42 |
References | Authors | |
4 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yaakov Kogan | 1 | 118 | 21.46 |
| Alexander Birman | 2 | 10 | 2.42 |