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Optimal Server Time Management in a Single Server Queue

Publication Type : Journal Article

Publisher : International Journal of Advanced Research in Engineering and Technology

Source : International Journal of Advanced Research in Engineering and Technology, Volume 11, Issue 6 (2020)

Url : https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3643381

Keywords : Finite Capacity, Markovian Queue, Optimization, Single or Bulk Service, T- Policy

Campus : Amritapuri

School : School of Arts and Sciences

Department : Mathematics

Year : 2020

Abstract : This paper considers an optimal server time management of a single server queue with -policy in which the server is under vacation until the realization of a random variable . When is realized, the server takes all waiting customers as a batch for service. After the batch service completion, the server shifts to a single service if there is any waiting customer and become idle when the system becomes empty. Such types of models deal with a very important class of real life congestion situations encountered in day-to-day as well as industrial scenario. The problem is to find a policy for selecting the service rate which maximizes the expected net profit per cycle in an M/M/1/K queue. Steady-state solutions and various performance measures are derived and obtained the optimal service rate numerically.

Cite this Research Publication : Dr. Usha Kumari P. V. and S Krishna, D., “Optimal Server Time Management in a Single Server Queue”, International Journal of Advanced Research in Engineering and Technology, vol. 11, no. 6, 2020.

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