A single server feedback retrial queue with collisions

Authors:
B. Krishna Kumar;G. Vijayalakshmi;A. Krishnamoorthy;S. Sadiq Basha
Affiliations:
Department of Mathematics, College of Engineering, Anna University, Chennai 600 025, India;Department of Mathematics, College of Engineering, Anna University, Chennai 600 025, India;Department of Mathematics, Cochin University of Science and Technology, Cochin 682 022, India;Department of Mathematics, College of Engineering, Anna University, Chennai 600 025, India
Venue:
Computers and Operations Research
Year:
2010

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Abstract

A Markovian single server feedback retrial queue with linear retrial rate and collisions of customers is studied. Using generating function technique, the joint distribution of the server state and the orbit length under steady-state is investigated. Some interesting and important performance measures of the system are obtained. Finally, numerical illustrations are provided.