Geodesic
Transient analysis of M/M/1 queue with working vacation, heterogeneous service and customers’ impatience
Sudhesh, R.1 ; Azhagappan, A.2 ; Dharmaraja, S.3
1 Department of Mathematics, Bharathidasan Institute of Technology (BIT) Campus, Anna University, Tiruchirappalli, 620024 Tamilnadu, India.
2 Department of Mathematics, St. Anne’s College of Engineering and Technology, Anna University, Panruti, Cuddalore district, 607110 Tamilnadu, India.
3 Department of Mathematics, Indian Institute of Technology Delhi, Haus Khas, 110016 New Delhi, India.
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 591-606

Voir la notice de l'article provenant de la source Numdam

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.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2016046
Classification : 60K25, 33C15
Keywords: Single server queue, multiple and single working vacation, impatient customers, continued fractions, confluent hypergeometric functions

Sudhesh, R. 1 ; Azhagappan, A. 2 ; Dharmaraja, S. 3

1 Department of Mathematics, Bharathidasan Institute of Technology (BIT) Campus, Anna University, Tiruchirappalli, 620024 Tamilnadu, India.
2 Department of Mathematics, St. Anne’s College of Engineering and Technology, Anna University, Panruti, Cuddalore district, 607110 Tamilnadu, India.
3 Department of Mathematics, Indian Institute of Technology Delhi, Haus Khas, 110016 New Delhi, India. 
@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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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

Cité par Sources :