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NP-hard and polynomial cases for the single-item lot sizing problem with batch ordering under capacity reservation contract
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文摘

Single-item lot sizing problem is studied under a capacity reservation contract.

Batch deliveries are allowed and the overall replenishment cost is stepwise.

Four NP-hard cases are identified and an efficient FPTAS is proposed.

Pseudo-polynomial time dynamic programming algorithm is given for the general case.

Polynomial time algorithms are proposed under restricted parameters.

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