The shorter queue polling model

Ivo J. B. F. Adan (), Onno J. Boxma (), Stella Kapodistria () and Vidyadhar G. Kulkarni ()
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Ivo J. B. F. Adan: Eindhoven University of Technology
Onno J. Boxma: Eindhoven University of Technology
Stella Kapodistria: Eindhoven University of Technology
Vidyadhar G. Kulkarni: University of North Carolina

Annals of Operations Research, 2016, vol. 241, issue 1, No 9, 167-200

Abstract: Abstract We consider a two-queue polling model in which customers upon arrival join the shorter of two queues. Customers arrive according to a Poisson process and the service times in both queues are independent and identically distributed random variables having the exponential distribution. The two-dimensional process of the numbers of customers at the queue where the server is and at the other queue is a two-dimensional Markov process. We derive its equilibrium distribution using two methodologies: the compensation approach and a reduction to a boundary value problem.

Keywords: Polling models; Join the shorter queue; Compensation approach; Boundary value problem (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10479-013-1495-0

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