Customer abandonment in many-server queues

Event Details
  • Date/Time:
    • Tuesday September 29, 2009
      11:00 am - 12:00 pm
  • Location: Executive classroom
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    $0.00
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Contact
Anita Race
H. Milton Stewart School of Industrial and Systems Engineering
Contact Anita Race
Summaries

Summary Sentence: Customer abandonment in many-server queues

Full Summary: Customer abandonment in many-server queues

TITLE: Customer abandonment in many-server queues

SPEAKER: Shuangchi He

ABSTRACT:

We first study G/G/n+GI queues in which customer patience times are independent, identically distributed following a general distribution. We prove that, under some conditions, a deterministic relationship holds asymptotically between the abandonment-count and the queue-length processes under the diffusion scaling, when the number of servers goes to infinity. Using this relationship, we prove that for critically loaded G/Ph/n+GI queues with phase-type service times, a pair of diffusion-scaled customer-count and server-allocation processes, properly centered, converges in distribution to a continuous Markov process. We also develop a numerical algorithm based on the finite-element method to compute the steady-state distribution of the diffusion limits of the queue-length process in the G/Ph/n+GI queues.

Joint work with Jim Dai and Tolga Tezcan.

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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 - 4:15pm
  • Last Updated: Oct 7, 2016 - 9:46pm