随机时变需求下有阶段和总量约束的多源采购优化
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湖南理工学院

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李武

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F253.4;N945.25

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Procurement optimization from multiple suppliers with periodic and total order constraints under stochastic and non-stationary demands
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    摘要:

    针对具有多个供应商和阶段采购量区间约束的最小总量承诺契约,假设各阶段需求为不同的随机变量,以采购方多阶段采购、库存、缺货成本总和期望值最小为目标,建立随机多维动态规划模型。考虑采购量约束及多供应商,扩展报童模型得出单阶段的最优采购策略,再以单阶段为基础建立多阶段的启发式算法。通过算例及仿真分析需求均方差、单位缺货成本、阶段采购量约束及最小总量约束等参数对最优采购策略及其总成本的影响。本研究将最小总量承诺契约扩展到时变需求与多供应商情形,可为供应链企业的采购决策提供支持。

    Abstract:

    The total minimum commitment contract with periodic order constraints, multiple suppliers and stochastic and non-stationary demands was addressed. A stochastic multidimensional dynamic programming model was developed to minimize the expected value of the sum of procurement, inventory and shortage cost for the purchaser in the planning horizon. At first, the optimal procurement policy in single period was obtained according to the newsboy model after the order constraints and multiple suppliers were considered. Then the heuristic policy for multi-period procurement was derived from the one in single period. An illustrative example was presented and some simulations were made to show the effect of demand mean square deviation, unit shortage cost, periodic order constraint and total minimum commitment on the optimal policy and the minimum cost. This work extends the total minimum contract to the stochastic and non-stationary demands and multiple suppliers setting and can provide decision-making support to the procurement of enterprises in supply chains.

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李武.随机时变需求下有阶段和总量约束的多源采购优化[J].控制与决策,2010,25(2):311-315

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历史
  • 收稿日期:2009-06-08
  • 最后修改日期:2009-10-14
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  • 在线发布日期: 2010-02-20
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