Stability of finite queue, tandem server systems

David K. Hildebrand

18 citations0/0 files storedJournal of Applied Probability

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Advanced Queuing Theory Analysis Petri Nets in System Modeling Age of Information Optimization

Abstract

One of the troublesome problems in the extension of queueing theory to more complex systems of servers is the development of models suitable for the analysis of assembly lines and similar structures. Results in special cases are given in [2], [5], and [6]. A reasonable model would assume:

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1962The stability of a queue with non-independent inter-arrival and service times 1956Sequential Arrays of Waiting Lines 1965A Sequence of Two Servers with No Intermediate Queue 1965A Sequence of Service Stations with Arbitrary Input and Regular Service Times

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1970A Model for Optimizing the Buffer Inventory Storage Size in a Sequential Production System

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