This paper studies the time-dependent behavior of a single server queueing model with slow service during single and multiple working vacations, and customers’ impatience due to slow service. The time-dependent system size probabilities for the underlying model are obtained in closed form. Further, time-dependent mean and variance are deduced. Finally, numerical illustrations are shown to visualize the system effect for various values of parameters.
Accepté le :
DOI : 10.1051/ro/2016046
Mots-clés : Single server queue, multiple and single working vacation, impatient customers, continued fractions, confluent hypergeometric functions
@article{RO_2017__51_3_591_0, author = {Sudhesh, R. and Azhagappan, A. and Dharmaraja, S.}, title = {Transient analysis of {M/M/1} queue with working vacation, heterogeneous service and customers{\textquoteright} impatience}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {591--606}, publisher = {EDP-Sciences}, volume = {51}, number = {3}, year = {2017}, doi = {10.1051/ro/2016046}, mrnumber = {3880514}, zbl = {1382.60120}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2016046/} }
TY - JOUR AU - Sudhesh, R. AU - Azhagappan, A. AU - Dharmaraja, S. TI - Transient analysis of M/M/1 queue with working vacation, heterogeneous service and customers’ impatience JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2017 SP - 591 EP - 606 VL - 51 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2016046/ DO - 10.1051/ro/2016046 LA - en ID - RO_2017__51_3_591_0 ER -
%0 Journal Article %A Sudhesh, R. %A Azhagappan, A. %A Dharmaraja, S. %T Transient analysis of M/M/1 queue with working vacation, heterogeneous service and customers’ impatience %J RAIRO - Operations Research - Recherche Opérationnelle %D 2017 %P 591-606 %V 51 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2016046/ %R 10.1051/ro/2016046 %G en %F RO_2017__51_3_591_0
Sudhesh, R.; Azhagappan, A.; Dharmaraja, S. Transient analysis of M/M/1 queue with working vacation, heterogeneous service and customers’ impatience. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 591-606. doi : 10.1051/ro/2016046. http://www.numdam.org/articles/10.1051/ro/2016046/
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