Title page for ETD etd-02012008-115247


Type of Document Dissertation
Author Nasr, Walid
Author's Email Address wnasr@vt.edu
URN etd-02012008-115247
Title Analysis and Approximations of Time Dependent Queueing Models
Degree PhD
Department Industrial and Systems Engineering
Advisory Committee
Advisor Name Title
Taaffe, Michael R. Committee Chair
Bish, Ebru K. Committee Member
Nachlas, Joel A. Committee Member
Nelson, Barry Committee Member
Pasupathy, Raghu Committee Member
Keywords
  • phase type distribution
  • departure process
  • queueing systems
  • time dependent
Date of Defense 2008-01-18
Availability unrestricted
Abstract
Developing equations to compute congestion measures for the general G/G/s/c queueing model and networks of such nodes has always been a challenge. One approach to analyzing such systems is to approximate the model-specified general input processes and distributions by processes and distributions from the more computationally friendly family of phase-type processes and distributions. We develop numerical approximation methods for analysis of general time-dependent queueing nodes by introducing new approximations for the time-dependent first two moments of the number-in-system and departure-count processes.
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