Stochastic inequalities between customer-stationary and time-stationary characteristics of queueing systems with point processes-Reference-Cited by-同舟云学术

Stochastic inequalities between customer-stationary and time-stationary characteristics of queueing systems with point processes

Published:1980-09 Issue:03 Volume:17 Page:768-777
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

Author:

König D.,Schmidt V.

Abstract

By means of a general intensity conservation principle for stationary processes with imbedded marked point processes (PMP) stochastic inequalities are proved between customer-stationary and time-stationary characteristics of queueing systemsG/G/s/r.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference17 articles.

1. A formal approach to queueing processes in the steady state and their applications

2. Imbedded and non-imbedded stationary characteristics of queueing systems with varying service rate and point processes

3. Stochastic processes with imbedded marked point processes (pmp) and thcir application in queneing

4. Further stochastic order relations among GI/GI/1 queues with a common traffic intensity

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Inequalities Between Time and Customer Averages for GI/G/c/K Queues;2022 13th International Symposium on Communication Systems, Networks and Digital Signal Processing (CSNDSP);2022-07-20

2. The Classical GI/G/1 and GI/G/m Queueing Systems;Stability Analysis of Regenerative Queueing Models;2021

3. Inequalities for Workload Process in Queues with NBU/NWU Input;Advances in Intelligent Systems and Computing;2017-09-20

4. How Nearly do Arriving Customers See Time-Average Behavior?;Journal of Applied Probability;2008-12

5. Relating Time and Customer Averages for Queues Using ‘forward’ Coupling from the Past;Journal of Applied Probability;2008-06