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MOR
2010

Customer Abandonment in Many-Server Queues

13 years 9 months ago
Customer Abandonment in Many-Server Queues
We study G/G/n + GI queues in which customer patience times are independent, identically distributed following a general distribution. When a customer’s waiting time in queue exceeds his patience time, the customer abandons the system without service. For the performance of such a system, we focus on the abandonment-count process and the queue-length process. We prove that, under some conditions, a deterministic relationship between the two stochastic processes holds asymptotically under the diffusion scaling when the number of servers n → ∞. The key assumption is that the sequence of diffusion-scaled queue-length processes, indexed by n, is stochastically bounded. We also establish a comparison result that allows one to verify the stochastic boundedness by studying a corresponding sequence of systems without customer abandonment.
J. G. Dai, Shuangchi He
Added 29 Jan 2011
Updated 29 Jan 2011
Type Journal
Year 2010
Where MOR
Authors J. G. Dai, Shuangchi He
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