MOMENTS OF THE DURATION OF BUSY PERIODS OF MX/G/1/n SYSTEMS-Reference-Cited by-同舟云学术

MOMENTS OF THE DURATION OF BUSY PERIODS OF MX/G/1/n SYSTEMS

Published:2008-05-27 Issue:3 Volume:22 Page:347-354
ISSN:0269-9648
Container-title:Probability in the Engineering and Informational Sciences
language:en
Short-container-title:Prob. Eng. Inf. Sci.

Author:

Pacheco António,Ribeiro H.

Abstract

We derive a simple recursion to compute moments of arbitrary order of the duration of busy periods of MX/G/1/n systems starting with an arbitrary number of customers in the system.

Publisher

Cambridge University Press (CUP)

Subject

Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability

Reference12 articles.

1. On recursive evaluation of mixed-Poisson probabilities and related quantities;Willmot;Scandinavian Actuarial Journal,1993

2. Characterizing losses during busy periods in finite buffer systems

3. The Remaining Busy Period of a Finite Queue

4. On the relationship between the distribution of maximal queue length in the M/G/1 queue and the mean busy period in the M/G/1/n queue

Cited by 6 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. Optimal control of a large dam with compound Poisson input and costs depending on water levels;Stochastics;2018-11-27

2. On the Blocking Probability and Loss Rates in Nonpreemptive Oscillating Queueing Systems;Analytical and Stochastic Modelling Techniques and Applications;2016

3. Some analysis results associated with the optimization problem for a discrete-time finite-buffer NT-policy queue;Operational Research;2015-07-31

4. A simple method to obtain the stochastic decomposition structure of the busy period in Geo/Geo/1/N vacation queue;4OR;2015-07-26

5. Distribution of the Number of Losses in Busy-Periods of $${M}^{X}/G/1/n$$ Systems;Studies in Theoretical and Applied Statistics;2013