Approximations in finite-capacity multi-server queues by Poisson arrivals

Shirley A. Nozaki · Sheldon M. Ross

139 citations0/0 files storedJournal of Applied Probability

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

An approximation for the average delay in queue of an entering customer is presented for theM/G/Kqueuing model with finite capacity. The approximation is obtained by means of an approximation relating a joint distribution of remaining service time to the equilibrium service distribution.

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1970Inequalities in the Theory of Queues

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2002Facility Location Problems with Stochastic Demands and Congestion 2004A Diffusion Approximation for the G/GI/n/m Queue 2019A congested capacitated multi-level fuzzy facility location problem: An efficient drone delivery system 1981Approximations for the steady-state probabilities in theM/G/cqueue 1988M/G/c Queueing Systems with Multiple Customer Classes: Characterization and Control of Achievable Performance Under Nonpreemptive Priority Rules 1994Approximations for multi-server queues: System interpolations 1983Diffusion Approximation for an M / G / m Queue 1996A Transform-Free Approximation for the Finite Capacity M/G/s Queue

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