TECHNICAL NOTE - Optimal Product Pricing and Component Production Quantities for an Assembly System Under Supply Uncertainty

TECHNICAL NOTE - Optimal Product Pricing and Component Production Quantities for an Assembly System Under Supply Uncertainty
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DOI:
10.1287/opre.1100.0870
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发表时间:
2010-11
期刊:
Oper. Res.
影响因子:
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通讯作者:
Wenting Pan;K. C. So
Wenting Pan;K. C. So
中科院分区:
其他
文献类型:
--
作者:
Wenting Pan;K. C. So

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我们考虑一个按订单生产的系统,其中一个组件在供应过程中面临的不确定性,其中实际可用数量等于生产数量的一些随机分数。需求被假定为依赖于价格。分析了在装配结构下,一个零部件的供应不确定性如何影响所有零部件的产品定价和生产数量。我们表明,它是有利可图的公司组装的产品,只有当产品的价格超过一定的阈值。该价格阈值随着每个组件的单位成本或供应可靠性分布的可变性程度的增加而增加,但它独立于潜在的需求函数和需求分布。此外,最优产品价格随着供应不确定性的降低而降低。我们进一步表明,在确定性需求下,组件可以独立管理,使得具有供应不确定性的组件的生产数量或单位成本不影响其他组件的最优生产数量,只要组装产品是有利可图的。然而,当需求是随机的,每个组件的最优生产量取决于供应可靠性分布以及其他组件的单位成本。对于固定的产品价格,当单位产品价格较低时,组件的最优生产数量较小,当单位产品价格较高时,它们高于没有供应不确定性的情况。
We consider an assemble-to-order system where one of the components faces uncertainty in the supply process in which the actual available quantity is equal to some random fraction of the production quantity. Demand is assumed to be price-dependent. We analyze how the supply uncertainty of one component affects the product pricing and production quantities of all the components under the assembly structure. We show that it is profitable for the firm to assemble the product only if the product price exceeds a certain threshold. This price threshold increases as the unit cost of each component or the degree of variability of the supply reliability distribution increases, but it is independent of the underlying demand function and demand distribution. Also, the optimal product price decreases as supply uncertainty decreases. We further show that under deterministic demand, the components can be managed independently such that the production quantity or unit cost of the component with supply uncertainty does not affect the optimal production quantity of the other components, as long as it is profitable to assemble the product. However, when demand is stochastic, the optimal production quantity of each component depends on the supply reliability distribution as well as the unit costs of the other components. For a fixed product price, the optimal production quantities of the components are smaller when the unit product price is low, and they are higher when the unit product price is high as compared to the case with no supply uncertainty.