NDLI: Randomized policy of a poisson input queue with J vacations

Content Provider	Springer Nature Link
Author	Ke, Jau Chuan Huang, Kai Bin Pearn, Wen Lea
Copyright Year	2010
Abstract	This paper studies the operating characteristics of an M/G/1 queuing system with a randomized control policy and at most J vacations. After all the customers are served in the queue exhaustively, the server immediately takes at most J vacations repeatedly until at least N customers are waiting for service in the queue upon returning from a vacation. If the number of arrivals does not reach N by the end of the J $^{th}$ vacation, the server remains idle in the system until the number of arrivals in the queue reaches N. If the number of customers in the queue is exactly accumulated N since the server remains idle or returns from vacation, the server is activated for services with probability p and deactivated with probability (1 − p). For such variant vacation model, other important system characteristics are derived, such as the expected number of customers, the expected length of the busy and idle period, and etc. Following the construction of the expected cost function per unit time, an efficient and fast procedure is developed for searching the joint optimum thresholds (N, J) that minimize the cost function. Some numerical examples are also presented.
Starting Page	50
Ending Page	71
Page Count	22
File Format	PDF
ISSN	10043756
Journal	Journal of Systems Science and Systems Engineering
Volume Number	19
Issue Number	1
e-ISSN	18619576
Language	English
Publisher	SP Systems Engineering Society of China
Publisher Date	2010-03-06
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cost < p N >-policy supplementary variable technique vacation Operations Research/Decision Theory Game Theory/Mathematical Methods Complexity
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Information Systems

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