考虑缺货损失情形下损失厌恶零售商的订货决策

在随机需求情形下考虑缺货损失,基于前景理论建立损失厌恶零售商的效用函数.根据数理模型推导,得到损失厌恶零售商订货量优化模型,分析了损失厌恶零售商订货量与损失厌恶系数、零售价格、采购价格、单位残值、单位缺货损失的关系.主要结论有：订货量随着单位残值、单位缺货损失的增大而增大;但随着损失厌恶系数、零售价格、采购价格的增大,订货量可能增大,也可能减小,这表明损失厌恶会对订货决策产生重要影响.最后,通过算例进行仿真分析.所得结果表明了订货量与损失厌恶系数、零售价格、采购价格、单位残值、单位缺货损失之间关系的正确性.

Loss-averse retailer’s order decision-making under stockout loss situation

Under stochastic demand condition,considering stockout loss,loss-averse retailer’s utility function is established based on prospect theory.According to mathematical model deduction,optimal order quantity model for loss-averse retailer is attained.Relationships of loss-averse retailer’s order quantity with loss-averse coefficient,retail price,purchase price,unit salvage value,unit shortage loss are analyzed.Main conclusions show that order quantity increases with unit salvage value,unit shortage loss increasing,but increases or decreases with loss-averse coefficient,retail price,purchase price increasing,which indicates that loss-averse has important effect on order decision-making.Finally,simulation analysis shows the correctness of the relationships between order and loss-averse coefficient,retail price,purchase price,unit salvage value,unit shortage loss,respectively.