The Mx/G/1 queue with single and multiple vacations under the LIFO service regime

Authors:
Eitan Rosenberg;Uri Yechiali
Affiliations:
Department of Statistics and Operations Research, School of Mathematical Sciences, The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel;Department of Statistics and Operations Research, School of Mathematical Sciences, The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
Venue:
Operations Research Letters
Year:
1993

Citing 4
Cited 2

Queueing systems with vacations—a survey

Queueing Systems: Theory and Applications
Second moment relationships for waiting times in queueing systems with Poisson input

Queueing Systems: Theory and Applications
Priority queues with batch Poisson arrivals

Operations Research Letters
On the Mx/G /1 queue with vacation time

Operations Research Letters

Discrete-time GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations

Journal of Computational and Applied Mathematics
Locality of reference and the use of sojourn time variance for measuring queue unfairness

Operations Research Letters

Quantified Score

Hi-index	0.00

Visualization

Abstract

The M^x/G/1 queue without server vacations, with multiple vacations is studied under the LIFO service regime. For each model we derive explicit formulae for the Laplace-Stieltjes transform, mean and second moment of the waiting time W"L"I"F"O of an arbitrary customer, and extend the range of Fuhrmann's general result, showing directly that for each case, E[W"L"I"F"O^2] = E[W"F"I"F"O^2]/(1 - @r).