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

作者：Mhada Fatima; Malhame Roland^*

来源：Annals of Operations Research, 2011, 182(1): 213-233.

DOI：10.1007/s10479-010-0722-1

• CONWIP
• Decomposition/aggregation methods
• Forward Kolmogorov equations

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)(2) 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 successive iterations. The performance estimates of interest-mean total wip, and probability of parts availability at the end buffer in the loop-are obtained from the model and validated against the results of Monte Carlo simulations.

• 出版日期2011-1