A note on the convexity of performance measures of M/M/c queueing systems

Clicks: 224
ID: 269740
1983
Free PDF
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This article has not been analysed, so there is no overall score — reader engagement is measured and shown alongside.
AI Quality Assessment
Not analyzed
Readership in this journal
Popular

Ranked #2 of 7 articles by views in journal of applied probability

Most read Least read

Bar heights use a square-root scale.

Mint this article as an NFT
Not yet minted

Create a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.

5 SUSD one-off · no wallet required
Sign in to mint
Abstract
Convexity of performance measures of queueing systems is important in solving control problems of multi-facility systems. This note proves that performance measures such as the expected waiting time, expected number in queue, and the Erlang delay formula are convex with respect to the arrival rate or the traffic intensity of the M/M/c queueing system.
Reference Key
cohen1983journala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Hau Leung Lee,Morris A. Cohen;Hau Leung Lee;Morris A. Cohen;
Journal journal of applied probability
Year 1983
DOI
10.1017/s0021900200024256
URL
https://sciprofiles.com/publication/view/7de7d36d47c90b00f94c2b62a65c5ac9
Keywords
performance measures note queueing systems m/m/c queueing convexity

Citations

No citations found. To add a citation, contact the admin at info@scimatic.org

Comments

No comments yet. Be the first to comment on this article.