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Titlebook: Stochastic Modeling and Analysis of Manufacturing Systems; David D. Yao Textbook 1994 Springer Science+Business Media New York 1994 Manufa

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Textbook 1994opments of probabilistic models and methodologies that have either been motivated by manufacturing systems research or been demonstrated to have significant potential in such research. .The editor has invited a number of leading experts to present detailed expositions of specific topics. These inclu
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1431-8598 tion analysis, scheduling via Brownian models, and re-entrant lines and dynamic scheduling. Each chapter has been written with graduate students in mind, and several have been used in graduate courses that teach the modeling and analysis of manufacturing systems. .978-1-4612-7628-9978-1-4612-2670-3Series ISSN 1431-8598 Series E-ISSN 2197-1773
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Scheduling Networks of Queues: Heavy Traffic Analysis of a Bi-Criteria Problem,an sojourn times of the various customer types, and may lead to a reduction in sojourn time variance. The simulation results also show that in the network settings, in contrast to the single queue case, there are priority sequencing policies that significantly reduce the variance of sojourn times relative to the first-come first-served policy.
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Scheduling Manufacturing Systems of Re-Entrant Lines,ing policies..We study the stability and performance of these scheduling policies. We illustrate how scheduling policies can be unstable in that the levels of the buffers become unbounded. However, we show that all Least Slack policies, including the well known Earliest Due Date policy and all the Fluctuation Smoothing policies, are stable.
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Jackson Network Models of Manufacturing Systems,rk-in-process, the implications of resource sharing, and the different schemes in workload allocation and assignment. We also bring out the connections to other familiar subjects such as likelihood ratio ordering, majorization and arrangement orderings, and coupling techniques.
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A GSMP Framework for the Analysis of Production Lines, monotonicity, convexity/concavity, and line reversibility, all of which have useful implications in system design. Furthermore the service-completion epochs at all stages satisfy a subadditive ergodicity, which guarantees the existence of long-run average cycle times (or, equivalently, the existence of a well-defined production rate).
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Perturbation Analysis of Production Networks,chapter begins with an overview, based on a single-machine model. It proceeds to address underlying theoretical issues and then examines a variety of examples of production networks. It concludes with a discussion of issues arising in the estimation of steady-state sensitivities.
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