Strong Convexity Results for Queueing Systems
We prove a strong (and seemingly odd) result about the M/M/c queue: the reciprocal of the average sojourn time is a concave function of the traffic intensity. We use this result to show that the average itself is jointly convex in arrival and service rates. The standard deviation has the same proper...
Veröffentlicht in: | Operations Research. - Institute for Operations Research and the Management Sciences, 1956. - 35(1987), 3, Seite 405-418 |
---|---|
1. Verfasser: | |
Weitere Verfasser: | |
Format: | Online-Aufsatz |
Sprache: | English |
Veröffentlicht: |
1987
|
Zugriff auf das übergeordnete Werk: | Operations Research |
Schlagworte: | Mathematics Applied sciences Business |
Online verfügbar |
Volltext |