Query:
faculty: "FEB" and publication year: "2004"
| Authors | N.M. van Dijk, M. Miyazawa | | Title | Error Bounds for Pertubing Nonexponential Queues |
| Journal | MATH OPER RES |
| Volume | 29 |
| Year | 2004 |
| Issue | 3 |
| Pages | 525-558 |
| ISSN | 0364765X |
| Faculty | Faculty of Economics and Business |
| Institute/dept. | FEB: Research Institute in Economics and Econometrics Amsterdam (RESAM) |
| Abstract | A general framework is provided to derive analytic error bounds for the effect of perturbations and inaccuracies of nonexponential service or arrival distributions in single- and multiserver queues. The general framework is worked out in detail for the three types of ?nite or in?nite buffer queues: GI/G/1/N, M/G/c/N, and GI/M/c/N.
First, for the standard GI/G/1/N queue, it is illustrated how the general error bound result can lead to error bounds for different performance measures like the throughput, mean queue length, and stationary queue length distribution. Next, for the M/G/c/N queue, an error bound and monotonicity result are established for the throughput. M/G/c/N queues can so be compared even when hazard rates are not ordered. Finally, for the GI/M/c/N queue, a similar result is obtained with a perturbation of the interarrival time distribution.
The error bound results are supported by asymptotic expressions for the M/M/c/N queue and numerical results for the GI/G/1/N queue. |
| Document type | Article |
| Document finder | 
|
Use this url to link to this page: http://dare.uva.nl/en/record/160246
Contact us about this recordNotify a colleague
Add to bookbag
|
previous
