In this paper, we study a single-period two-product inventory model with stochastic demands and downward substitution. The optimal order quantities are presented and some properties are provided. Comparing with newsbo...In this paper, we study a single-period two-product inventory model with stochastic demands and downward substitution. The optimal order quantities are presented and some properties are provided. Comparing with newsboy model, we prove that both the profit and the fill rate can be improved by using the substitution policy.展开更多
考虑产品随机损坏率情形下的一个供应商和一个经销商组成的N ew sboy产品的供应链系统。研究供应链双方分散决策和供应商管理经销商库存(VM I)两种情形。当双方独立决策时,经销商和供应商分别以各自期望收益为目标决策最优的订货批量和...考虑产品随机损坏率情形下的一个供应商和一个经销商组成的N ew sboy产品的供应链系统。研究供应链双方分散决策和供应商管理经销商库存(VM I)两种情形。当双方独立决策时,经销商和供应商分别以各自期望收益为目标决策最优的订货批量和最优生产批量,当完好产品的批量小于经销商的订货批量时,供应商将给予价格折扣;当由供应商管理经销商库存时,供应商在满足经销商期望收益要求的条件下,同时决策生产批量和批发价格。对于损坏率和产品需求为一般分布函数的情况下,研究在两种策略下供应链双方最优决策、双方和整个供应链的期望收益,以及VM I策略实现的条件以及对供应链的价值。最后将指数分布需求和均匀分布损坏率应用到一般模型中,通过算例进行敏感性分析。展开更多
In the classical Newsboy problem, we provide a new proof for the tight range of optimal order quantities for the newsboy problem when only the mean and standard deviation of demand are available. The new proof is only...In the classical Newsboy problem, we provide a new proof for the tight range of optimal order quantities for the newsboy problem when only the mean and standard deviation of demand are available. The new proof is only based on the definition of the optimal solution therefore it is the most straightforward method. It is also shown that the classical Scarf’s rule is the mid-point of the range of optimal order quantities. This provides an additional understanding of Scarf’s order rule as a distribution free decision.展开更多
This paper develops an extended newsboy model and presents a formula- tion for this model. This new model has solved the budget contained multi-product newsboy problem with the reactive production. This model can be u...This paper develops an extended newsboy model and presents a formula- tion for this model. This new model has solved the budget contained multi-product newsboy problem with the reactive production. This model can be used to describe the status of entrepreneurial network construction. We use the Lagrange multiplier procedure to deal with our problem, but it is too complicated to get the exact solu-tion. So we introduce the homotopy method to deal with it. We give the flow chart to describe how to get the solution via the homotopy method. We also illustrate our model in both the classical procedure and the homotopy method. Comparing the two methods, we can see that the homotopy method is more exact and efficient.展开更多
已往库存论中的决策模型,它是把现实过程用数学的方法进行分析,得到决策值,但不能看到决策的过程,不能反映出现实生活中的不确定性、动态性。运用Delphi 7.0和SQL server 2000对销售过程进行了动态仿真,利用Newsboy模型的推广(S,s)订购...已往库存论中的决策模型,它是把现实过程用数学的方法进行分析,得到决策值,但不能看到决策的过程,不能反映出现实生活中的不确定性、动态性。运用Delphi 7.0和SQL server 2000对销售过程进行了动态仿真,利用Newsboy模型的推广(S,s)订购策略来监控库存并做出决策,这样就体现出此过程的不确定性、动态性;且举出了一个仿真商品销售的实例,对其中的一些关键技术,如何仿真、算法的实现等进行了阐述。展开更多
This paper deals with the jointed decision question on ordering and pricing for a short-life-cycle product under stochastic multiplicative demand depended selling price. According to the marketing practices, which ret...This paper deals with the jointed decision question on ordering and pricing for a short-life-cycle product under stochastic multiplicative demand depended selling price. According to the marketing practices, which retailers sell their products in different periods with the different marketing policies, we depict the jointed decision question with a stochastic dynamic programming model from the view of the centralized system. Then, we prove that the expected profit function are concave on decision vectors respectively, and develop the decision method for ordering and pricing. Lastly, we design the iterative search arithmetic to find the optimal decision vectors.展开更多
基金This work was supported partly by NSFC/RGC Joint Research Program under grant 79910161987the National Science Foundation of China(79825102,70231010,7032 1001)
文摘In this paper, we study a single-period two-product inventory model with stochastic demands and downward substitution. The optimal order quantities are presented and some properties are provided. Comparing with newsboy model, we prove that both the profit and the fill rate can be improved by using the substitution policy.
文摘考虑产品随机损坏率情形下的一个供应商和一个经销商组成的N ew sboy产品的供应链系统。研究供应链双方分散决策和供应商管理经销商库存(VM I)两种情形。当双方独立决策时,经销商和供应商分别以各自期望收益为目标决策最优的订货批量和最优生产批量,当完好产品的批量小于经销商的订货批量时,供应商将给予价格折扣;当由供应商管理经销商库存时,供应商在满足经销商期望收益要求的条件下,同时决策生产批量和批发价格。对于损坏率和产品需求为一般分布函数的情况下,研究在两种策略下供应链双方最优决策、双方和整个供应链的期望收益,以及VM I策略实现的条件以及对供应链的价值。最后将指数分布需求和均匀分布损坏率应用到一般模型中,通过算例进行敏感性分析。
文摘In the classical Newsboy problem, we provide a new proof for the tight range of optimal order quantities for the newsboy problem when only the mean and standard deviation of demand are available. The new proof is only based on the definition of the optimal solution therefore it is the most straightforward method. It is also shown that the classical Scarf’s rule is the mid-point of the range of optimal order quantities. This provides an additional understanding of Scarf’s order rule as a distribution free decision.
文摘This paper develops an extended newsboy model and presents a formula- tion for this model. This new model has solved the budget contained multi-product newsboy problem with the reactive production. This model can be used to describe the status of entrepreneurial network construction. We use the Lagrange multiplier procedure to deal with our problem, but it is too complicated to get the exact solu-tion. So we introduce the homotopy method to deal with it. We give the flow chart to describe how to get the solution via the homotopy method. We also illustrate our model in both the classical procedure and the homotopy method. Comparing the two methods, we can see that the homotopy method is more exact and efficient.
文摘已往库存论中的决策模型,它是把现实过程用数学的方法进行分析,得到决策值,但不能看到决策的过程,不能反映出现实生活中的不确定性、动态性。运用Delphi 7.0和SQL server 2000对销售过程进行了动态仿真,利用Newsboy模型的推广(S,s)订购策略来监控库存并做出决策,这样就体现出此过程的不确定性、动态性;且举出了一个仿真商品销售的实例,对其中的一些关键技术,如何仿真、算法的实现等进行了阐述。
基金This research is partly supported by National Natural Science Foundation of China （70473037）, the Innovation Fund for PhD Candidate of NUAA（4003-019010）, and the Science and Technology Foundation of Henan Education Committee（2006120004）.
文摘This paper deals with the jointed decision question on ordering and pricing for a short-life-cycle product under stochastic multiplicative demand depended selling price. According to the marketing practices, which retailers sell their products in different periods with the different marketing policies, we depict the jointed decision question with a stochastic dynamic programming model from the view of the centralized system. Then, we prove that the expected profit function are concave on decision vectors respectively, and develop the decision method for ordering and pricing. Lastly, we design the iterative search arithmetic to find the optimal decision vectors.
