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- W644526589 abstract "In this thesis we derive transient distributional closed form results for a variety of queueing systems. We use two quite powerful techniques, the method of stages and the Hilbert factorization method. Throughout the thesis our goal has been to provide structural insights about the queueing systems we study, but more importantly to solve them algorithmically as well.We first present a distributional Little's law under FCFS, which holds under a wide variety of settings. We are thus able to find the queue length distribution once the waiting time distribution is known and vice versa.We then analyze the transient behavior of a G/G/1 queue, as well as the busy period distribution using both the method of stages and the Hilbert factorization method. We further generalize the method of stages to a continuous state space. We are thus able to find the structure of the solution in multi-server queues with heterogeneous servers, multiple arrival streams, balking and feedback. These structural results lead to algorithms for the case when the service distribution has rational Laplace transform.We next consider the departure process from a G/G/1 queue and analyze its dependency structure. We finally use these results to analyze a series of single-server queues in tandem with general service and arrival distributions. We implement our methods using the software package Mathematica and report several computational results. (Copies available exclusively from MIT Libraries, Rm. 14-0551, Cambridge, MA 02139-4307. Ph. 617-253-5668; Fax 617-253-1690.)" @default.
- W644526589 created "2016-06-24" @default.
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- W644526589 date "1990-01-01" @default.
- W644526589 modified "2023-09-28" @default.
- W644526589 title "Transient distributional results in queues with applications to queueing networks" @default.
- W644526589 hasPublicationYear "1990" @default.
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