Queueing systems with vacation: an overview

S Upadhyaya - International journal of mathematics in …, 2016 - inderscienceonline.com
Vacation models deal with a very important class of real life congestion situations
encountered in day-to-day as well as in industrial scenario. A vacation in queueing context …

[PDF][PDF] A review of vacation queueing models in different framework

AP Panta, RP Ghimire, D Panthi, SR Pant - Ann. Pure Appl. Math, 2021 - researchgate.net
This paper deals with the extensive survey of the vacation queueing systems from its birth
in1975 to till date. As the time passes on old-provisions cannot tackle new-problem so new …

[HTML][HTML] Performance analysis of M/G/1 queue with working vacations and vacation interruption

M Zhang, Z Hou - Journal of Computational and Applied Mathematics, 2010 - Elsevier
In this paper, an M/G/1 queue with a working vacations and vacation interruption is
analyzed. Using the method of a supplementary variable and the matrix-analytic method, we …

[HTML][HTML] Working vacations queueing model with multiple types of server breakdowns

M Jain, A Jain - Applied Mathematical Modelling, 2010 - Elsevier
This paper deals with a single server working vacation queueing model with multiple types
of server breakdowns. In a working vacations queueing model, the server works at a …

[HTML][HTML] Performance analysis of GI/M/1 queue with working vacations and vacation interruption

JH Li, NS Tian, ZY Ma - Applied Mathematical Modelling, 2008 - Elsevier
In this paper, we analyze a single-server vacation queue with a general arrival process. Two
policies, working vacation and vacation interruption, are connected to model some practical …

M/M/1 multiple vacation queueing systems with differentiated vacations

OC Ibe, OA Isijola - Modelling and Simulation in Engineering, 2014 - Wiley Online Library
We consider a multiple vacation queueing system in which a vacation following a busy
period has a different distribution from a vacation that is taken without serving at least one …

Transient analysis of an M/M/1 queueing system subject to differentiated vacations

KV Vijayashree, B Janani - Quality Technology & Quantitative …, 2018 - Taylor & Francis
This paper presents the transient analysis of an M/M/1 queueing system wherein the server
is subject to two types of vacation, namely: vacation after the busy period and vacation taken …

Analysis of the M/G/1 queue with exponentially working vacations—a matrix analytic approach

J Li, N Tian, ZG Zhang, HP Luh - Queueing systems, 2009 - Springer
In this paper, an M/G/1 queue with exponentially working vacations is analyzed. This
queueing system is modeled as a two-dimensional embedded Markov chain which has an …

[HTML][HTML] Optimal management of the machine repair problem with working vacation: Newton's method

KH Wang, WL Chen, DY Yang - Journal of Computational and Applied …, 2009 - Elsevier
This paper studies the M/M/1 machine repair problem with working vacation in which the
server works with different repair rates rather than completely terminating the repair during a …

[HTML][HTML] Multi-server system with single working vacation

CH Lin, JC Ke - Applied Mathematical Modelling, 2009 - Elsevier
We consider an M/M/R queue with vacations, in which the server works with different service
rates rather than completely terminates service during his vacation period. Service times …