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In a real production and distribution business environment with one supplier and multiple heterogeneous buyers, the differences
in buyers’ ordering cycles have influence on production arrangements. Consequently, the average inventory level (AIL) at the
supplier’s end is affected by both the production policy and the ordering policy, typically by the scheduling of deliveries.
Consequently, the average inventory holding cost is most deeply affected. In this paper, it is proposed that the scheduling
of deliveries be formulated as a decision problem to determine the time point at which deliveries are made to buyers in order
to minimize the supplier’s average inventory. A formulation of the average inventory level (AIL) in a production cycle at
the supplier’s end using a lot-for-lot policy is developed. Under the lot-for-lot policy, the scheduling of deliveries (SP) is formulated as a nonlinear programming model used to determine the first delivery point for each buyer with an objective
to minimize the sum of the product of the individual demand quantity and the first delivery time for each buyer. Thus, the
SP model determines not only the sequence of the first deliveries to individual buyers, but also the time when the deliveries
are made. An iterative heuristic procedure (IHP) is developed to solve the SP model assuming a given sequence of buyers. Six sequence rules are considered and evaluated via simulation. 相似文献
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