Switching on and off the full capacity of an M/M/∞ queue

Eugene Feinberg; Xiaoxuan Zhang

doi:10.1109/CDC.2011.6161369

Switching on and off the full capacity of an M/M/∞ queue

Eugene Feinberg
, Xiaoxuan Zhang

Applied Mathematics and Statistics

IBM

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper studies optimal switching on and off the full capacity of an M/M/∞ queue with holding, running and switching costs. The main result is that an average-cost optimal policy either always runs the system or is defined by two thresholds M and N, such that the system is switched on at arrival epochs when the number of customers in the system accumulates to N and it is switched off at departured epoch when the number of customers in the system decreases to M.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7678-7683
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161369
State	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: Dec 12 2011 → Dec 15 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 12/15/11

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10.1109/CDC.2011.6161369

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Feinberg, E., & Zhang, X. (2011). Switching on and off the full capacity of an M/M/∞ queue. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 7678-7683). Article 6161369 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161369

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abstract = "This paper studies optimal switching on and off the full capacity of an M/M/∞ queue with holding, running and switching costs. The main result is that an average-cost optimal policy either always runs the system or is defined by two thresholds M and N, such that the system is switched on at arrival epochs when the number of customers in the system accumulates to N and it is switched off at departured epoch when the number of customers in the system decreases to M.",

author = "Eugene Feinberg and Xiaoxuan Zhang",

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language = "English",

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series = "Proceedings of the IEEE Conference on Decision and Control",

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booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

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Feinberg, E & Zhang, X 2011, Switching on and off the full capacity of an M/M/∞ queue. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161369, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 7678-7683, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161369

Switching on and off the full capacity of an M/M/∞ queue. / Feinberg, Eugene; Zhang, Xiaoxuan.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 7678-7683 6161369 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - This paper studies optimal switching on and off the full capacity of an M/M/∞ queue with holding, running and switching costs. The main result is that an average-cost optimal policy either always runs the system or is defined by two thresholds M and N, such that the system is switched on at arrival epochs when the number of customers in the system accumulates to N and it is switched off at departured epoch when the number of customers in the system decreases to M.

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ER -

Switching on and off the full capacity of an M/M/∞ queue

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