A Dynamic Stochastic Stock Cutting Problem

Cover A Dynamic Stochastic Stock Cutting Problem
A Dynamic Stochastic Stock Cutting Problem
Elena V Krichagina
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However, unlike the previous problems that have been analyzed, there is no one-to-one correspondence between the A' cutting configurations and the A' products. Consequently, we have been unable to interpret (35)-(36) to obtain a reliable cutting policy.
Instead, we propose a heuristic pohcy that incorporates two essential ideas. The first idea, which is due to Zipkin. Is to use a myopic look ahead policy. He proposes a service time look ahead policy for a single server multiclass make-to-stock
...queue, which is essentially a special case (where A' = J, Cs — and the matrix R is diagonal) of the problem considered here. This policy dynamically serves the class that minimizes the expected reduction in cost rate per unit of time after one service completion. The policy has its roots in Miller "s (1974) transportation look ahead policy for the decision of which base to send an item repaired at a central depot, where transportation time plays the role of service time. Numerical results in Veatch and Wein (1992) show that Zipkin"s policy performs very well for multiclass make-to-stock queues.

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