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Minimizing response times and queue lengths in systems of parallel queues
1999
Journal of Applied Probability
We consider the problem of routeing customers to one of two parallel queues. Arrivals are independent of the state of the system but otherwise arbitrary. Assuming that queues have infinite capacities and the service times form a sequence of i.i.d. random variables with increasing likelihood ratio (ILR) distribution, we prove that the shortest queue (SQ) policy minimizes various cost functionals related to queue lengths and response times. We give a counterexample which shows that this result is
doi:10.1239/jap/1032374764
fatcat:xjiqwcxxozakboupk66barklby