Randomized control of T-policy for an M/G/1 system

Authors:
Dong-Jin Kim;Seong-Am Moon
Affiliations:
Department of International Logistics and Port Management, Graduate School of International Studies, Pusan National University, 30 JangJeon-Dong, GeumJeong-Gu, Busan Metropolitan City, Republic of ...;Department of Business Administration, Korea National Defense University, 205 Susaek-Dong, Eunpyung-Ku, Seoul 122-875, Republic of Korea
Venue:
Computers and Industrial Engineering
Year:
2006

Citing 2
Cited 2

Control policies for the MX/g/1 queueing system

Management Science
Optimality of D-Policies for an M/G/1 Queue with a Removable Server

Queueing Systems: Theory and Applications

Comparison of two randomized policy M/G/1 queues with second optional service, server breakdown and startup

Journal of Computational and Applied Mathematics
Comparative analysis of a randomized N-policy queue: An improved maximum entropy method

Expert Systems with Applications: An International Journal

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Abstract

We study an M/G/1 queueing system with a server that can be switched on and off. The server can take a vacation time T after the system becomes empty. In this paper, we investigate a randomized policy to control a server with which, when the system is empty, the server can be switched off with probability p and take a vacation or left on with probability (1-p) and continue to serve the arriving customers. For this system, we consider the operating cost and the holding cost where the operating cost consists of the system running and switching costs (start up and shut down costs). We describe the structure and characteristics of this policy and solve a constrained problem to minimize the average operating cost per unit time under the constraint for the holding cost per unit time.