NDLI: Analysis of a clearing queueing system with setup times

Content Provider	EDP Sciences
Author	Qing Ma
Abstract	We consider a Markovian clearing queueing system with setup times. When the system is empty, the server gets into the state of vacation. Once a new customer arrives the system, an exponential setup time is required before the server renders the service again. The customers are accumulated according to Poisson arrival process and the service times are exponentially distributed. Upon their arrivals, customers decide whether to join or balk the queue based on a natural linear reward-cost structure which reflects their desire for service and their unwillingness to wait. According to the state of server under some condition, we obtain the balking strategies of customers, the stationary distribution of system state, the expected queue length and the social optimal benefit. Finally, some numerical experiments describe how the expected queue length and the social optimal benefit depend on the arrival rate, the service time and the setup time.
Ending Page	76
Starting Page	67
Page Count	10
File Format	HTM / HTML PDF
ISSN	03990559
Alternate Webpage(s)	https://www.rairo-ro.org/articles/ro/abs/2015/01/ro140035/ro140035.html
e-ISSN	12903868
Issue Number	1
Journal	RAIRO - Operations Research
Volume Number	49
DOI	10.1051/ro/2014035
Language	English
Publisher	EDP Sciences
Publisher Date	2015-01-01
Access Restriction	Subscribed
Rights Holder	© EDP Sciences, ROADEF, SMAI, 2014
Subject Keyword	Clearing system setup times dominant strategy Nash equilibrium Clearing system / setup times / dominant strategy / Nash equilibrium Queues and service Queueing theory
Content Type	Text
Resource Type	Article
Subject	Management Science and Operations Research Theoretical Computer Science Computer Science Applications

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