On the convexity of the two-threshold policy for an M/G/1 queue with vacations |
| |
| Authors: | Zhe George Zhang |
| |
| Affiliation: | Department of Decision Sciences, College of Business and Economics, Western Washington University, Bellingham, WA98225-9077, USA |
| |
| Abstract: | In this note, we consider a single server queueing system with server vacations of two types and a two-threshold policy. Under a cost and revenue structure the long-run average cost function is proven to be convex in the lower threshold for a fixed difference between the two thresholds. |
| |
| Keywords: | M/G/1 queue Server vacations Two vacation types Two-threshold policy Convexity of cost function |
| 本文献已被 ScienceDirect 等数据库收录！ |
