Journal
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS
Volume 120, Issue 2, Pages 327-339Publisher
ELSEVIER
DOI: 10.1016/j.ijpe.2008.05.022
Keywords
Continuous-flow systems; Fluid flow models; Markovian production systems; Level crossing analysis; Performance evaluation
Categories
Funding
- TOBA
- TUBITAK
- Singapore-MIT Alliance
- General Motors Research and Development Center
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Fluid flow models are used in the performance evaluation of production, computer, and telecommunication systems. In order to develop a methodology to analyze general Markovian continuous material flow production systems with two processing stages with an intermediate finite buffer, a general single-buffer fluid flow system is modelled as a continuous time, continuous-discrete state space stochastic process and the steady-state distribution is determined. Various performance measures such as the production rate and the expected buffer level are determined from the steady-state distributions. The flexibility of this methodology allows analysis of a wide range of models by specifying only the transition rates and the flow rates associated with the discrete states of each stage. Therefore, the method is proposed as a tool for performance evaluation of general Markovian continuous-flow systems with a finite buffer. The solution methodology is illustrated by analyzing a production system where each machine has multiple up and down states associated with their quality characteristics. (C) 2008 Elsevier B.V. All rights reserved.
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