Modeling and Analysis of Three-Stage Transfer Lines with Unreliable Machines and Finite Buffers
Article Abstract:
In an important class of systems, which arises in manufacturing chemical processes, and computer contexts, objects, objects move sequentially from one work station oto another, and rest between stations in buffers. In the manufacturing context, such system are called transfer lines. The dynamic behavior of a buffered transfer line with unreliable work stations is modeled as a Markov chain. The system states consist of the operational conditions of the work stations and the levels of material in the buffers. The steady state probabilities are found by choosing a sum-of-products form solution for a class of states, and deriving the remaining expressions by using the transition equations. In this way, the order of the system of equations to be solved is drastically reduced. This algorithm suggests a general approach for solving large scale structured Markov chain problems. A chart of a k- stage transfer line is shown.
Publication Name: Operations Research
Subject: Petroleum, energy and mining industries
ISSN: 0030-364X
Year: 1983
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A Unifying View of Hybrid Simulation-Analytic Models and Modeling
Article Abstract:
Modeling is widely used in problem solving. The method consists of building a model of the system or problem, developing a solution procedure, and using the model and its solution procedure to solve the problem. There are two types of models - analytic and simulation. It would be desirable to combine analytic and simulation models into a hybrid model and derive the advantages of both techniques. Four classes of hybrid simulation-analytic models are presented. Accompanying diagrams and numerical results for two examples are also given.
Publication Name: Operations Research
Subject: Petroleum, energy and mining industries
ISSN: 0030-364X
Year: 1983
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Conditions for Finite Ladder Height and Delay Moments
Article Abstract:
Stability conditions for finite moments for GI-G-I queues are difficult. Oscillating and drift cases are obtained. A simple relationship between the ascending ladder height distribution and the stationary delay distribution exists.
Publication Name: Operations Research
Subject: Petroleum, energy and mining industries
ISSN: 0030-364X
Year: 1984
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