Title: A model for overflow queuing network with two-station heterogeneous system

Authors: S. Saritha; E. Mamatha; C.S. Reddy; P. Rajadurai

Addresses: Department of Mathematics, GITAM Deemed to be University, Bangalore, 562163, India ' Department of Mathematics, GITAM Deemed to be University, Bangalore, 562163, India ' Department of Mathematics, Cambridge Institute of Technology – NC, Bangalore, Karnataka, 562110, India ' Department of Mathematics, Srinivasa Ramanujan Center, SASTRA Deemed University, Kumbakonam, 612001, India

Abstract: Network systems with overflow arrivals are the utmost imperative problems in high priority queuing system, where the customers are reluctant to join the queue. If the servers are free then arrived customers are serviced by one of the multiple servers. If all servers are busy then arrived customers will not join in the queue and quit the system without service and never return for the service. If the main server completes its work and no customer arrives for service then the work assigned to the lower service server is transformed to the main server and it becomes free for next arrival customer. In this paper, we studied two heterogeneous nodes queuing system with arrivals as a Poisson process and the service with exponential service times. The system is analysed using spectral expansion method to study various parametric measures and the results are presented in the graphical form.

Keywords: spectral expansion method; overflow; heterogeneous system; priority queues.

DOI: 10.1504/IJPMB.2022.121592

International Journal of Process Management and Benchmarking, 2022 Vol.12 No.2, pp.147 - 158

Received: 27 Jul 2019
Accepted: 22 Jan 2020
Published online: 21 Mar 2022 *

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