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
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 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
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.
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.
