中文摘要：

在单生产商-多销售商联合生产库存系统中,假定策略周期可以包含生产商的多次生产阶段,且不同销售商的订货次数和订货间隔不一定相同,建立了生产商-销售商的多生产阶段-协同订货模型.首先,把多个销售商的不同订货策略转化成一个虚拟销售商的订货策略.然后,把虚拟销售商的订货对应到生产商的不同生产阶段,对每个生产阶段应用单生产商单销售商的库存-时间图对系统整体的库存进行分析,构建了多生产阶段协同订货的数学模型,并给出了求解该模型的启发式算法.最后,用实例证实了该模型所得到的最优平均总费用优于已有的模型.

英文摘要：

In the general vendor-buyer integrated production inventory models,there exist common assumptions： only single production period in a strategy cycle;different buyers have the same ordering times and the same order interval.This paper relaxed these assumptions and developed a ＂multi-production-period and collaborative ordering＂ model for one-vendor multi-buyer integrated system.First,the different buyers＇ ordering can be transformed into a virtual buyers＇ ordering.Then,after mapping the virtual buyer＇s ordering on the vendor＇s different production period,so the system during this period seems as a single-vendor single-buyer system.And the virtual buyer＇s ordering strategy should meet the constraints deduced from the inventory-time diagram of single-manufacturer single-buyer system.So,the mathematical model for the ＂multi-production-period and collaborative ordering＂ strategy was constructed.And the solution procedure of the heuristic algorithm to solve the model was given.The numerical examples verify that our model can yield a lower cost solution compared with the existing ones.