Title: Optimal flow control of multi server time sharing queueing network with priority

Authors: Pankaj Sharma

Addresses: Department of Mathematics, School of Sciences, Noida International University, Gautam Buddha Nagar, Grater Noida, U.P., Pin-201306, India

Abstract: In this investigation, a multi server queueing network problem with cutoff priority is studied. The two types of input traffic are allowed in the system with different arrival rates. One type of input traffic has priority over the other type of traffic. Service times of the input traffic are independent and identically distributed according to exponential distribution. The maximum number of packets of each class traffic and the optimal input rates in the system are determined under the maximum allowed mean time delay and maximum input rate. The product type solution has been employed to obtain the queue size. Numerical illustrations are given to validate the analytical results.

Keywords: cutoff priority; throughput; mean time delay; time sharing; blocking; probability; optimal flow control; multi server queueing networks.

DOI: 10.1504/IJMOR.2016.078826

International Journal of Mathematics in Operational Research, 2016 Vol.9 No.3, pp.363 - 374

Received: 04 Oct 2014
Accepted: 10 Dec 2014
Published online: 03 Sep 2016 *

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