Thesis Defense :: Behavior of Fork-Join Networks, and Effect of Variability in Service Systems

Event Details
  • Date/Time:
    • Thursday June 26, 2003
      2:00 pm - 12:00 am
  • Location: Groseclose, Room 226A
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    N/A
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Contact
Barbara Christopher
Industrial and Systems Engineering
Contact Barbara Christopher
404.385.3102
Summaries

Summary Sentence: Thesis Defense :: Behavior of Fork-Join Networks, and Effect of Variability in Service Systems

Full Summary: Thesis Defense :: Behavior of Fork-Join Networks, and Effect of Variability in Service Systems

This thesis consists of two parts. The first part is a study of a stochastic fork-join processing network in which each job upon arrival splits into m tasks, which are simultaneously assigned to m processing stations. When all of its m tasks are finished, the job is completed and exits the system. Such fork-join processing is common in computer/telecommunication systems, manufacturing, and supply chains. The main concerns are the time to complete a job (the response time), and the queue lengths at the stations, when the network is in equilibrium. We solve the thirty-year old problem of obtaining closed-form approximations for the probability distributions of response times and queues in fork-join networks. Statistical tests, based on simulations of the network, justify that our distributions are precise approximations of the actual distributions. We consider several types of fork-join networks including an assembly/inventory system and a multi-stage fork-join system.

The second part of this thesis is a study of a

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H. Milton Stewart School of Industrial and Systems Engineering (ISYE)

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Status
  • Created By: Barbara Christopher
  • Workflow Status: Published
  • Created On: Oct 8, 2010 - 7:42am
  • Last Updated: Oct 7, 2016 - 9:52pm