In this paper, we study the optimal procurement management by reverse auctions for a price-setting newsvendor(retailer) in a single period setting. The retailer facing price-dependent stochastic demand first designs a...In this paper, we study the optimal procurement management by reverse auctions for a price-setting newsvendor(retailer) in a single period setting. The retailer facing price-dependent stochastic demand first designs a procurement contract and then invites the suppliers to bid for this contract in the reverse auction. The winning supplier produces and delivers the demanded quantity.The retailer obtains the procurement quantity and simultaneously determines the retail price. By using the price elasticity of the lost-sales rate, we show that the retailer’s expected profit(excluding the procurement cost) is a concave function of the purchased quantity, which can be used to obtain the optimal procurement and retail pricing decisions for the retailer. Further, when the underlying random term of demand function is normally distributed under left-truncation(at 0), we get the analytical expressions of the purchased quantity and expected profit function for the retailer. Moreover, some numerical examples are given.展开更多
This paper deals with a periodic review inventory system serving multiple demand classes that are differentiated by the treatment for shortages.Shortages of some classes were treated according to lost-sales,while thos...This paper deals with a periodic review inventory system serving multiple demand classes that are differentiated by the treatment for shortages.Shortages of some classes were treated according to lost-sales,while those of the others were backlogged.In each period,both replenishment decisions of inventory and allocation for all classes were made by a setup cost for each replenishment.By using the approach of stochastic dynamic programming formulation,the optimal replenishment policy is a state-dependent（s,S） policy,and the optimal allocation decision follows a state-dependent prioritization policy.展开更多
基金Supported by Hunan Provincial Department of Education Fund(20A485,19K093)National Center for Applied Mathematics in Hunan Province。
文摘In this paper, we study the optimal procurement management by reverse auctions for a price-setting newsvendor(retailer) in a single period setting. The retailer facing price-dependent stochastic demand first designs a procurement contract and then invites the suppliers to bid for this contract in the reverse auction. The winning supplier produces and delivers the demanded quantity.The retailer obtains the procurement quantity and simultaneously determines the retail price. By using the price elasticity of the lost-sales rate, we show that the retailer’s expected profit(excluding the procurement cost) is a concave function of the purchased quantity, which can be used to obtain the optimal procurement and retail pricing decisions for the retailer. Further, when the underlying random term of demand function is normally distributed under left-truncation(at 0), we get the analytical expressions of the purchased quantity and expected profit function for the retailer. Moreover, some numerical examples are given.
基金Supported by the National Natural Science Foundation of China(No 70871066)
文摘This paper deals with a periodic review inventory system serving multiple demand classes that are differentiated by the treatment for shortages.Shortages of some classes were treated according to lost-sales,while those of the others were backlogged.In each period,both replenishment decisions of inventory and allocation for all classes were made by a setup cost for each replenishment.By using the approach of stochastic dynamic programming formulation,the optimal replenishment policy is a state-dependent（s,S） policy,and the optimal allocation decision follows a state-dependent prioritization policy.
