In this paper, the concept of the equidistant conjugate points of a triangle to the n-dimensional Euclidean space is extended. The concept of equidistant conjugate point in high dimensional simplex is defined, and the...In this paper, the concept of the equidistant conjugate points of a triangle to the n-dimensional Euclidean space is extended. The concept of equidistant conjugate point in high dimensional simplex is defined, and the property of the equidistant conjugate points of a triangle is generalized to high dimensional simplex.展开更多
This paper studies ordering and pricing issues of a retailer who faces a linear-sensitive demand.The definition of a reasonable retail price is put forward.After that,a deterministic model for trading off sales revenu...This paper studies ordering and pricing issues of a retailer who faces a linear-sensitive demand.The definition of a reasonable retail price is put forward.After that,a deterministic model for trading off sales revenue and total cost is constructed,in which the retailer determines the optimal ordering schedule and the optimal retail price simultaneously for the sake of maximizing its total profit.It is shown that the acquired retail prices are all reasonable.During the process of derivation,both ordering time points and the optimal retail price are expressed as functions of ordering times.By solving a quadratic programming model with an undetermined parameter,we demonstrate that the optimal ordering time points of the retailer are equidistant time points on the given selling periods.Further,the sensitivity of each parameter is analyzed and some meaningful conclusions are drawn.Finally,the ordering times is obtained by analyzing the derivatives of the profit function.展开更多
基金Supported by the Technological Project of Jiangxi Province Education Department(GJJ 08389)
文摘In this paper, the concept of the equidistant conjugate points of a triangle to the n-dimensional Euclidean space is extended. The concept of equidistant conjugate point in high dimensional simplex is defined, and the property of the equidistant conjugate points of a triangle is generalized to high dimensional simplex.
基金The work was supported by the Beijing Natural Science Foundation Project“Study on Incentive Mechanism of Customer Engagement and‘co-creation’Management Model in Platform Enterprises”(No.9182012).
文摘This paper studies ordering and pricing issues of a retailer who faces a linear-sensitive demand.The definition of a reasonable retail price is put forward.After that,a deterministic model for trading off sales revenue and total cost is constructed,in which the retailer determines the optimal ordering schedule and the optimal retail price simultaneously for the sake of maximizing its total profit.It is shown that the acquired retail prices are all reasonable.During the process of derivation,both ordering time points and the optimal retail price are expressed as functions of ordering times.By solving a quadratic programming model with an undetermined parameter,we demonstrate that the optimal ordering time points of the retailer are equidistant time points on the given selling periods.Further,the sensitivity of each parameter is analyzed and some meaningful conclusions are drawn.Finally,the ordering times is obtained by analyzing the derivatives of the profit function.
