Approximate performance analysis of CONWIP disciplines in unreliable non homogeneous transfer lines.

TitreApproximate performance analysis of CONWIP disciplines in unreliable non homogeneous transfer lines.
Publication TypeJournal Article
Year of Publication2011
AuthorsMhada, F, Malhame, R
JournalAnnals of Operations Research
Volume182
Pagination213 - 233
ISSN02545330
Mots-clésAggregation operators, CONWIP, Decomposition method (Mathematics), Decomposition/aggregation methods, Forward Kolmogorov equations, Mathematical models, Monte Carlo method, Operations research, Performance evaluation, Reliability (Engineering)
Abstract

For a given choice of the maximum allowable total storage parameter, the performance of constant work-in-process (CONWIP) disciplines in unreliable transfer lines subjected to a constant rate of demand for parts, is characterized via a tractable approximate mathematical model. For a ( n?1) machines CONWIP loop, the model consists of n multi-state machine single buffer building blocks, separately solvable once a total of ( n?1) unknown constants shared by the building blocks are initialized. The multi-state machine is common to all building blocks, and its n discrete states approximate the joint operating state of the machines within the CONWIP loop; each of the first ( n?1) blocks maps into a single internal buffer dynamics, while the nth building block characterizes total work-in-process (wip) dynamics. The blocks correspond to linear n component state equations with boundary conditions. The unknown (shared) constants in the block dynamics are initialized and calculated by means of s

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