An optimal control of inventory under probablistic replenishment intervals and known price increase
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This paper determines the optimum replenishment period, level and order quantity.

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Considers probabilistic replenishment interval with announced price increase.

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Partial backordering is allowed and buyer is aware of the replenishment order level.

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The model is solved under general distribution with closed-form solution.

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The problems with two distributions perform well for special sale offer before price hike.

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