This paper investigates the ordering policy for the newsvendor problem with customer balking and penalties for balking and stockout. Our analysis is based on the assumption that only the mean and the variance of the d...This paper investigates the ordering policy for the newsvendor problem with customer balking and penalties for balking and stockout. Our analysis is based on the assumption that only the mean and the variance of the demand distribution are known. In contrast to the existing research, we provide a new tradeoff tool as a replacement of the traditional one to weigh the holding cost and the goodwill cost segment： the balking penalty cost and the stockout penalty cost. Specifically, in addition to the stockout penalty, we also introduce the balking penalty, provide a new proof of the optimality of robust ordering policy to guarantee that the lower bound of expected profit obtained by us is tight, and get an robust optimal order quantity which is an exact solution but not an approximate one as before. Numerical experiments are conducted to illustrate the effect of penalties for balking and stockout.展开更多
This paper addresses a dynamic lot sizing problem with bounded inventory and stockout where both no backlogging and backlogging allowed cases are considered. The stockout option means that there is outsourcing in a pe...This paper addresses a dynamic lot sizing problem with bounded inventory and stockout where both no backlogging and backlogging allowed cases are considered. The stockout option means that there is outsourcing in a period only when the inventory level at that period is non-positive. The production capacity is unlimited and production cost functions are linear but with fixed charges. The problem is that of satisfying all demands in the planning horizon at minimal total cost. We show that the no backlogging case can be solved in O（T^2） time with general concave inventory holding and outsourcing cost functions where T is the length of the planning horizon. The complexity can be reduced to O（T） when the inventory holding cost functions are also linear and have some realistic properties, even if the outsourcing cost functions remain general concave functions. When the inventory holding and outsourcing cost functions are linear, the backlogging case can be solved in O（ T^3 logT） time whether the outsourcing level at each period is bounded by the sum of the demand of that period and backlogging level from previous periods, or only by the demand of that period.展开更多
易逝品零售商降价销售时,策略型消费者往往会经历高价后悔和缺货后悔,这两种后悔行为均会降低他们的购买效用,从而影响零售商库存决策和利润。因此,本文分别研究了价格外生和内生两种情形下高价后悔和缺货后悔对策略型消费者行为以及零...易逝品零售商降价销售时,策略型消费者往往会经历高价后悔和缺货后悔,这两种后悔行为均会降低他们的购买效用,从而影响零售商库存决策和利润。因此,本文分别研究了价格外生和内生两种情形下高价后悔和缺货后悔对策略型消费者行为以及零售商库存决策和利润的影响。研究表明,对于高利润产品,零售商应实施瞄准短视型消费者(target myopic consumers,TMC)的策略。相反,对于低利润产品,零售商应实施瞄准短视和策略型消费者(target both myopic and strategic consumers,TBC)的策略。此外,随着高价(缺货)后悔水平的增加,策略型消费者原来认为是低(高)利润的产品,现在可能认为是高(低)利润产品,因此零售商最优策略可能会相应地改变。其次,对于低利润产品,当高价(缺货)后悔显著时,后悔行为对零售商产生负(正)影响,且高价后悔和缺货后悔呈现相反的作用;对于高利润产品,后悔行为不对零售商造成影响。再次,对于低利润产品,高价后悔加剧了(缺货后悔缓解了)策略型消费者行为的负影响;对于高利润产品,后悔行为不影响策略型消费者行为的负影响。最后,当零售商拥有全价决策权时,零售商总是能够利用决策全价的优势来消除高价后悔的负影响或发挥缺货后悔的正影响。展开更多
文摘This paper investigates the ordering policy for the newsvendor problem with customer balking and penalties for balking and stockout. Our analysis is based on the assumption that only the mean and the variance of the demand distribution are known. In contrast to the existing research, we provide a new tradeoff tool as a replacement of the traditional one to weigh the holding cost and the goodwill cost segment： the balking penalty cost and the stockout penalty cost. Specifically, in addition to the stockout penalty, we also introduce the balking penalty, provide a new proof of the optimality of robust ordering policy to guarantee that the lower bound of expected profit obtained by us is tight, and get an robust optimal order quantity which is an exact solution but not an approximate one as before. Numerical experiments are conducted to illustrate the effect of penalties for balking and stockout.
基金Acknowledgments This work is supported by the National Natural Science Foundation of China （No. 71171072, 71301040）. The authors are thankful to two anonymous referees and the editor for their constructive comments, which resulted in the subsequent improvement of this article.
文摘This paper addresses a dynamic lot sizing problem with bounded inventory and stockout where both no backlogging and backlogging allowed cases are considered. The stockout option means that there is outsourcing in a period only when the inventory level at that period is non-positive. The production capacity is unlimited and production cost functions are linear but with fixed charges. The problem is that of satisfying all demands in the planning horizon at minimal total cost. We show that the no backlogging case can be solved in O（T^2） time with general concave inventory holding and outsourcing cost functions where T is the length of the planning horizon. The complexity can be reduced to O（T） when the inventory holding cost functions are also linear and have some realistic properties, even if the outsourcing cost functions remain general concave functions. When the inventory holding and outsourcing cost functions are linear, the backlogging case can be solved in O（ T^3 logT） time whether the outsourcing level at each period is bounded by the sum of the demand of that period and backlogging level from previous periods, or only by the demand of that period.
文摘易逝品零售商降价销售时,策略型消费者往往会经历高价后悔和缺货后悔,这两种后悔行为均会降低他们的购买效用,从而影响零售商库存决策和利润。因此,本文分别研究了价格外生和内生两种情形下高价后悔和缺货后悔对策略型消费者行为以及零售商库存决策和利润的影响。研究表明,对于高利润产品,零售商应实施瞄准短视型消费者(target myopic consumers,TMC)的策略。相反,对于低利润产品,零售商应实施瞄准短视和策略型消费者(target both myopic and strategic consumers,TBC)的策略。此外,随着高价(缺货)后悔水平的增加,策略型消费者原来认为是低(高)利润的产品,现在可能认为是高(低)利润产品,因此零售商最优策略可能会相应地改变。其次,对于低利润产品,当高价(缺货)后悔显著时,后悔行为对零售商产生负(正)影响,且高价后悔和缺货后悔呈现相反的作用;对于高利润产品,后悔行为不对零售商造成影响。再次,对于低利润产品,高价后悔加剧了(缺货后悔缓解了)策略型消费者行为的负影响;对于高利润产品,后悔行为不影响策略型消费者行为的负影响。最后,当零售商拥有全价决策权时,零售商总是能够利用决策全价的优势来消除高价后悔的负影响或发挥缺货后悔的正影响。
