This Article Full Text (PDF) References Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via Google Scholar Google Scholar Articles by Randhawa, R. S. Articles by Kumar, S. Search for Related Content

Multiserver Loss Systems with Subscribers

McCombs School of Business, The University of Texas at Austin, Austin, Texas 78712
Graduate School of Business, Stanford University, Stanford, California 94305
ramandeep.randhawa{at}mccombs.utexas.edu, http://www.mccombs.utexas.edu/faculty/ramandeep.randhawa
kumar_sunil{at}gsb.stanford.edu, http://www.stanford.edu/skumar

We study a multiserver loss system with two kinds of customers: subscribers and infrequent users. We model the infrequent users' requests for service by a Poisson process. However, noting that the Poisson process is unable to capture repeated interactions as well as retrials, we propose a Markovian on-off-hold model for the subscribers' requests for service that takes into account retrials by subscribers denied service. We analyze this system in an asymptotic regime where the number of subscribers and the arrival rate of the Poisson stream, and consequently the number of servers, grow without bound. In this regime, we identify and prove convergence to diffusion limits for the system. We also prove the convergence of the invariant distributions to the invariant distribution of the limiting diffusions.

Key Words: loss systems; subscribers with retrials; on-off-hold request model
History: Received: August 8, 2006; revision received: July 2, 2008;

This article has been cited by other articles:

				A. Mandelbaum and S. Zeltyn Staffing Many-Server Queues with Impatient Customers: Constraint Satisfaction in Call Centers Operations Research, September 1, 2009; 57(5): 1189 - 1205. [Abstract] [PDF]