Analysis of two-machine CONWIP system: Matrix geometric solution (Q2721954)
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scientific article; zbMATH DE number 1616992
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of two-machine CONWIP system: Matrix geometric solution |
scientific article; zbMATH DE number 1616992 |
Statements
11 July 2001
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quasi-birth-and-death process
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production system
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constant level of work-in-process
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0.81876296
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0.8015231
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0.79840195
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0.7947011
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Analysis of two-machine CONWIP system: Matrix geometric solution (English)
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The paper considers a production system with a constant level of work-in-process (CONWIP). The system consists of two sequential machines and four buffers that store the raw parts, the semi-finished parts and the finished parts. The parts arrive according to a Poisson process, the processing times are assumed to be exponentially distributed. The system is modelled as a quasi-birth-and-death process. The equilibrium conditions are derived, the stationary probability vector is obtained. Various performance measures are discussed, including the estimates on the number of parts in each buffer.
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