On the Busy Period in One Finite Queue of M/G/1 Type with Inactive Orbit

Dragieva, Velika

Serdica Journal of Computing (2014)

  • Volume: 8, Issue: 3, page 291-308
  • ISSN: 1312-6555

Abstract

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The paper deals with a single server finite queuing system where the customers, who failed to get service, are temporarily blocked in the orbit of inactive customers. This model and its variants have many applications, especially for optimization of the corresponding models with retrials. We analyze the system in non-stationary regime and, using the discrete transformations method study, the busy period length and the number of successful calls made during it. ACM Computing Classification System (1998): G.3, J.7.

How to cite

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Dragieva, Velika. "On the Busy Period in One Finite Queue of M/G/1 Type with Inactive Orbit." Serdica Journal of Computing 8.3 (2014): 291-308. <http://eudml.org/doc/270080>.

@article{Dragieva2014,
abstract = {The paper deals with a single server finite queuing system where the customers, who failed to get service, are temporarily blocked in the orbit of inactive customers. This model and its variants have many applications, especially for optimization of the corresponding models with retrials. We analyze the system in non-stationary regime and, using the discrete transformations method study, the busy period length and the number of successful calls made during it. ACM Computing Classification System (1998): G.3, J.7.},
author = {Dragieva, Velika},
journal = {Serdica Journal of Computing},
keywords = {Finite Queuing Systems; Inactive Customers; Busy Period; Number of Successful Calls},
language = {eng},
number = {3},
pages = {291-308},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Busy Period in One Finite Queue of M/G/1 Type with Inactive Orbit},
url = {http://eudml.org/doc/270080},
volume = {8},
year = {2014},
}

TY - JOUR
AU - Dragieva, Velika
TI - On the Busy Period in One Finite Queue of M/G/1 Type with Inactive Orbit
JO - Serdica Journal of Computing
PY - 2014
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 8
IS - 3
SP - 291
EP - 308
AB - The paper deals with a single server finite queuing system where the customers, who failed to get service, are temporarily blocked in the orbit of inactive customers. This model and its variants have many applications, especially for optimization of the corresponding models with retrials. We analyze the system in non-stationary regime and, using the discrete transformations method study, the busy period length and the number of successful calls made during it. ACM Computing Classification System (1998): G.3, J.7.
LA - eng
KW - Finite Queuing Systems; Inactive Customers; Busy Period; Number of Successful Calls
UR - http://eudml.org/doc/270080
ER -

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