Customer Abandonment in Critically Loaded Many-Server Queues

Event Details
  • Date/Time:
    • Thursday March 26, 2009
      2:00 pm - 3:00 pm
  • Location: Executive classroom
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    $0.00
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Ton Dieker
ISyE
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404-385-3140
Summaries

Summary Sentence: Customer Abandonment in Critically Loaded Many-Server Queues

Full Summary: Customer Abandonment in Critically Loaded Many-Server Queues

TITLE: Customer Abandonment in Critically Loaded Many-Server Queues

SPEAKER: Shuangchi He

ABSTRACT:

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. Assume the system is operated in many-server heavy traffic. We prove that, under some conditions, a deterministic relationship among the two stochastic possesses holds asymptotically under the diffusion-scaling when the number of server n to infty. The key assumption is that the diffusion-scaled queue length process is stochastically bounded. We also establish a comparison result that allows one to check the stochastic boundedness by studying a corresponding system without customer abandonment.

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School of Industrial and Systems Engineering (ISYE)

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Categories
Seminar/Lecture/Colloquium
Keywords
queue
Status
  • Created By: Anita Race
  • Workflow Status: Published
  • Created On: Oct 12, 2009 - 4:36pm
  • Last Updated: Oct 7, 2016 - 9:47pm