Hierarchical Production Control in Dynamic Stochastic Jobshops with Long-Run Average Cost

Suresh Sethi, H. Zhang and Q. Zhang
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H. Zhang: Academia Sinica
Q. Zhang: University of Georgia

Journal of Optimization Theory and Applications, 2000, vol. 106, issue 2, No 1, 264 pages

Abstract: Abstract We consider a production planning problem for a dynamic jobshop producing a number of products and subject to breakdown and repair of machines. The machine capacities are assumed to be finite-state Markov chains. As the rates of change of the machine states approach infinity, an asymptotic analysis of this stochastic manufacturing systems is given. The analysis results in a limiting problem in which the stochastic machine availability is replaced by its equilibrium mean availability. The long-run average cost for the original problem is shown to converge to the long-run average cost of the limiting problem. The convergence rate of the long-run average cost for the original problem to that of the limiting problem together with an error estimate for the constructed asymptotic optimal control is established.

Keywords: hierarchical control; manufacturing systems; stochastic dynamic programming; optimal control; long-run average cost (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004667028547

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