A Study of Periodical Ordering System to Control the Cost Occurred from Variances

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  • 在庫量・発注量変動により発生するコストを制御する定期発注方式に関する研究
  • ザイコリョウ ハッチュウリョウ ヘンドウ ニ ヨリ ハッセイ スル コスト オ セイギョ スル テイキ ハッチュウ ホウシキ ニ カンスル ケンキュウ

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For production-inventory systems based on periodical ordering systems, it is important to control variances in order quantity and inventory. Therefore, a periodical ordering system based on optimal control theory has been proposed. The criterion of the ordering system is the weighted summation of those variances. The formula of order minimizes the criterion, and optimal order quantity can be calculated for every period. However, it is rational for the ordering system to minimize the cost function in practice. If variance in inventory is large, then a shortage or remainder of inventory would occur and inventory cost would rise. If variance in order quantity is large, then production loss and extra production costs would rise. In this paper, we formulate a periodical ordering system minimizing the cost function that depends on variances in order quantity and inventory. We show a method for searching the formula to calculate the optimal order quantity. This solution is based on optimal control theory for a linear system with colored noise.

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