Title page for ETD etd-06062012-114510


Type of Document Master's Thesis
Author Kulkarni, Aditya Umesh
URN etd-06062012-114510
Title Approximating Deterministic Changes to Ph(t)/Ph(t)/1/c and Ph(t)/M(t)/s/c Queueing Models
Degree Master of Engineering
Department Industrial and Systems Engineering
Advisory Committee
Advisor Name Title
Taaffe, Michael R. Committee Chair
Bish, Ebru K. Committee Member
Pasupathy, Raghu Committee Member
Keywords
  • Queueing
  • phase-type
  • time-varying queues
  • Polya Eggenberger
Date of Defense 2012-05-25
Availability unrestricted
Abstract
A deterministic change to a time-varying queueing model is described as either changing the number of entities, the queue capacity, or the number of servers in the system at selected times. We use a surrogate distribution for N(t), the number of entities in the system at time t, to approximate deterministic changes to the Ph(t)/Ph(t)/1/c and the Ph(t)/M(t)/s/c queueing models. We develop a solution technique to minimize the number of state probabilities to be approximated.
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