Abstract—The present paper deals with the linkage between a queue network in which a common service server is linked in series with each of two parallel biserial servers and a three stage flowshop scheduling system. The objective of this paper is of two folds, on one hand it finds mean queue length and the total waiting time of jobs and on other hand it minimizes the total elapsed time. The proposed model provides an important tool for manufacturing concern, office management, banking service system, computer networks and in administrative setup etc.

Index Terms—Queue network, flowshop, mean queue length, waiting time, processing time, biserial channels, makespan.

D. Gupta is with Department of Mathematics, M.M. University, Mullana, Ambala, India (email:seemasharma7788@yahoo.com).
S. Sharma and S. Sharma are with Department of Mathematics, D.A.V.College, Jalandhar, Punjab, India.

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Cite: Deepak Gupta, Sameer Sharma, and Seema Sharma, "On Linkage of Parallel Biserial Servers Linked with a Common Server to a Three Stage Flowshop Scheduling Model," International Journal of Applied Physics and Mathematics  vol. 2, no. 3, pp. 152-155, 2012.