A discrete-time queueing system with changes in the vacation times

Ivan Atencia

International Journal of Applied Mathematics and Computer Science (2016)

  • Volume: 26, Issue: 2, page 379-390
  • ISSN: 1641-876X

Abstract

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This paper considers a discrete-time queueing system in which an arriving customer can decide to follow a last come first served (LCFS) service discipline or to become a negative customer that eliminates the one at service, if any. After service completion, the server can opt for a vacation time or it can remain on duty. Changes in the vacation times as well as their associated distribution are thoroughly studied. An extensive analysis of the system is carried out and, using a probability generating function approach, steady-state performance measures such as the first moments of the busy period of the queue content and of customers delay are obtained. Finally, some numerical examples to show the influence of the parameters on several performance characteristics are given.

How to cite

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Ivan Atencia. "A discrete-time queueing system with changes in the vacation times." International Journal of Applied Mathematics and Computer Science 26.2 (2016): 379-390. <http://eudml.org/doc/280118>.

@article{IvanAtencia2016,
abstract = {This paper considers a discrete-time queueing system in which an arriving customer can decide to follow a last come first served (LCFS) service discipline or to become a negative customer that eliminates the one at service, if any. After service completion, the server can opt for a vacation time or it can remain on duty. Changes in the vacation times as well as their associated distribution are thoroughly studied. An extensive analysis of the system is carried out and, using a probability generating function approach, steady-state performance measures such as the first moments of the busy period of the queue content and of customers delay are obtained. Finally, some numerical examples to show the influence of the parameters on several performance characteristics are given.},
author = {Ivan Atencia},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {discrete-time queueing theory; changes in the remaining vacation times; busy period; sojourn times},
language = {eng},
number = {2},
pages = {379-390},
title = {A discrete-time queueing system with changes in the vacation times},
url = {http://eudml.org/doc/280118},
volume = {26},
year = {2016},
}

TY - JOUR
AU - Ivan Atencia
TI - A discrete-time queueing system with changes in the vacation times
JO - International Journal of Applied Mathematics and Computer Science
PY - 2016
VL - 26
IS - 2
SP - 379
EP - 390
AB - This paper considers a discrete-time queueing system in which an arriving customer can decide to follow a last come first served (LCFS) service discipline or to become a negative customer that eliminates the one at service, if any. After service completion, the server can opt for a vacation time or it can remain on duty. Changes in the vacation times as well as their associated distribution are thoroughly studied. An extensive analysis of the system is carried out and, using a probability generating function approach, steady-state performance measures such as the first moments of the busy period of the queue content and of customers delay are obtained. Finally, some numerical examples to show the influence of the parameters on several performance characteristics are given.
LA - eng
KW - discrete-time queueing theory; changes in the remaining vacation times; busy period; sojourn times
UR - http://eudml.org/doc/280118
ER -

References

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