带提前期的供应链订货与运输最优决策问题

为研究供应链的订货与运输的最优决策问题。分别讨论供应商与零售商之间合作与非合作两种情形下的最优决策。假定交货提前期与运输工具有关，其满足均匀分布，且在提前期内允许缺货，所造成的缺货损失由零售商承担。目标是最小化供应链的费用，根据具体的费用函数建立供应商、零售商模型，并提出分析方法来决定最优的决策变量值。经过计算得出了非合作与合作两种情形下的最优决策值，并通过算例对最优决策进行验证分析，表明合作情形下的总费用比非合作情形下的总费用少，供需双方更要加强合作。

Problem of Optimal Decision of Ordering and Shipment in Supply Chain with Lead Time

To study the problem of optimal decision of ordering and shipment in supply chain, this pa- per respectively discusses the optimal decision under two situations-cooperation and non-cooperation be- tween supplier and retailer. Assume that delivery lead time is related to the means of transport, it meets u- niform distribution and stockout is allowed within the lead time, stockout losses caused are undertaken by retailer. The objective is to minimize expenses of supply chain. This paper establishes supplier and retail model according to specific cost function, puts forward an analysis method to determine the optimal deci- sion variable value, obtains the optimal decision value under cooperation and non-cooperation situations through calculation and conducts verification analysis on optimal decision through examples. It shows that total expenses under cooperation situation are lower than total expenses under non-cooperation situation and supplier and demander should enhance cooperation.