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Delay analysis of a variable-capacity batch-server queue with general class-dependent service times

Jens Baetens (UGent) , Bart Steyaert (UGent) , Dieter Claeys (UGent) and Herwig Bruneel (UGent)
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Abstract
In manufacturing, a batch server groups multiple customers that require the same type of service based on a specific characteristic, such as temperature or destination. In this paper, we extend previous work with the analysis of the delay in a variable-capacity batch-service queueing system with general class-dependent service times and customer-based correlation in the arrival process. The impact of asymmetry and correlation in the arrival process on the mean delay of a random customer and the tail distribution of the delay is investigated as well.
Keywords
BULK-SERVICE, SYSTEM

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Please use this url to cite or link to this publication:

Chicago
Baetens, Jens, Bart Steyaert, Dieter Claeys, and Herwig Bruneel. 2018. “Delay Analysis of a Variable-capacity Batch-server Queue with General Class-dependent Service Times.” In AIP Conference Proceedings. Vol. 1978. Melvillle, NY, USA: American Institute of Physics (AIP).
APA
Baetens, Jens, Steyaert, B., Claeys, D., & Bruneel, H. (2018). Delay analysis of a variable-capacity batch-server queue with general class-dependent service times. AIP Conference Proceedings (Vol. 1978). Presented at the 15th International conference of Numerical Analysis and Applied Mathematics (ICNAAM), Melvillle, NY, USA: American Institute of Physics (AIP).
Vancouver
1.
Baetens J, Steyaert B, Claeys D, Bruneel H. Delay analysis of a variable-capacity batch-server queue with general class-dependent service times. AIP Conference Proceedings. Melvillle, NY, USA: American Institute of Physics (AIP); 2018.
MLA
Baetens, Jens, Bart Steyaert, Dieter Claeys, et al. “Delay Analysis of a Variable-capacity Batch-server Queue with General Class-dependent Service Times.” AIP Conference Proceedings. Vol. 1978. Melvillle, NY, USA: American Institute of Physics (AIP), 2018. Print.
@inproceedings{8532857,
  abstract     = {In manufacturing, a batch server groups multiple customers that require the same type of service based on a specific characteristic, such as temperature or destination. In this paper, we extend previous work with the analysis of the delay in a variable-capacity batch-service queueing system with general class-dependent service times and customer-based correlation in the arrival process. The impact of asymmetry and correlation in the arrival process on the mean delay of a random customer and the tail distribution of the delay is investigated as well.},
  articleno    = {190003-1},
  author       = {Baetens, Jens and Steyaert, Bart and Claeys, Dieter and Bruneel, Herwig},
  booktitle    = {AIP Conference Proceedings},
  isbn         = {9780735416901},
  issn         = {0094-243X},
  language     = {eng},
  location     = {Thessaloniki, Greece},
  pages        = {4},
  publisher    = {American Institute of Physics (AIP)},
  title        = {Delay analysis of a variable-capacity batch-server queue with general class-dependent service times},
  url          = {http://dx.doi.org/10.1063/1.5043830},
  volume       = {1978},
  year         = {2018},
}

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