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
Combining with the characteristics of China's energy and the strategy of sustainable development, analyzing the pros and cons which caused by the appearance of DG and their operation connecting to grid, this paper...Combining with the characteristics of China's energy and the strategy of sustainable development, analyzing the pros and cons which caused by the appearance of DG and their operation connecting to grid, this paper points out that the two sides can achieve win-win under a reasonable combination between DG and distribution system, so as to optimize the allocation of resources, improve the utilization ratio of resource, and obtain maximum social benefit, harmoniously promote the development of power industry, economy and environment. As a word, this paper puts forward a new model of distribution network planning including DG and brings in penalty factorto guide the investment and construction of DG. Last of all, this paper presents the adoption of the coordination development coefficients which is to evaluate the power planning.展开更多
In this paper, a compound Poisson risk model with time-dependent claims is studiedunder a multi-layer dividend strategy. A piecewise integro-differential equation for the Gerber- Shiu function is derived and solved. A...In this paper, a compound Poisson risk model with time-dependent claims is studiedunder a multi-layer dividend strategy. A piecewise integro-differential equation for the Gerber- Shiu function is derived and solved. Asymptotic formulas of the ruin probability are obtained when the claim size distributions are heavy-tailed.展开更多
射频(RF)线圈是磁共振成像(MRI)系统的关键部件之一,用于射频信号的发射或接收,乳腺3 T MRI中采用专用的射频线圈可进一步提高磁共振成像的质量。为了获得简单的线圈绕线形状并使得射频磁场分布均匀,研究利用了L曲线自动选取和手动选取...射频(RF)线圈是磁共振成像(MRI)系统的关键部件之一,用于射频信号的发射或接收,乳腺3 T MRI中采用专用的射频线圈可进一步提高磁共振成像的质量。为了获得简单的线圈绕线形状并使得射频磁场分布均匀,研究利用了L曲线自动选取和手动选取惩罚因子对线圈绕线形状和磁场分布均匀性的影响,并结合目标场方法和流函数方法,提出了一种用于3 T(磁感应强度为3 T)乳腺磁共振成像的射频线圈设计方法。研究结果表明:1×1、2×1、2×2、4×1等4种半球形相控阵射频线圈的绕线形状随着阵列增加而变复杂;惩罚因子取利用L曲线自动选取的值时,磁感应强度线性方程的解最精确,阵列1×1在[10-25,10-18]区间内无论怎样选取惩罚因子,灵敏区内的磁场分布误差(即实际值与理想值之间的误差)都>40%,阵列2×2和4×1的磁场分布误差<10%,但是线圈绕线形状非常复杂,工程上难以实现;手动选取惩罚因子的值,可以使得磁场分布误差<40%,而且线圈的绕线形状简单;与相同半径和高度的圆柱型射频线圈相比,所提出的半球型射频线圈磁场分布更为均匀。可得结论:惩罚因子越小,则线圈绕线越复杂,而磁场分布越均匀;反之,惩罚因子越大,则线圈绕线越简单,而磁场分布越不理想。在简单的线圈绕线形状和保证射频磁场分布均匀之间取得平衡需要根据L曲线手动调节选取惩罚因子的值。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.
文摘Combining with the characteristics of China's energy and the strategy of sustainable development, analyzing the pros and cons which caused by the appearance of DG and their operation connecting to grid, this paper points out that the two sides can achieve win-win under a reasonable combination between DG and distribution system, so as to optimize the allocation of resources, improve the utilization ratio of resource, and obtain maximum social benefit, harmoniously promote the development of power industry, economy and environment. As a word, this paper puts forward a new model of distribution network planning including DG and brings in penalty factorto guide the investment and construction of DG. Last of all, this paper presents the adoption of the coordination development coefficients which is to evaluate the power planning.
基金Surported by the Third Stage of 211 ProjectInnovative Talent Training Project of S-09110the Chongqing University Postgraduates’ Science and Innovation Fund (200911B1B0110327)
文摘In this paper, a compound Poisson risk model with time-dependent claims is studiedunder a multi-layer dividend strategy. A piecewise integro-differential equation for the Gerber- Shiu function is derived and solved. Asymptotic formulas of the ruin probability are obtained when the claim size distributions are heavy-tailed.
文摘射频(RF)线圈是磁共振成像(MRI)系统的关键部件之一,用于射频信号的发射或接收,乳腺3 T MRI中采用专用的射频线圈可进一步提高磁共振成像的质量。为了获得简单的线圈绕线形状并使得射频磁场分布均匀,研究利用了L曲线自动选取和手动选取惩罚因子对线圈绕线形状和磁场分布均匀性的影响,并结合目标场方法和流函数方法,提出了一种用于3 T(磁感应强度为3 T)乳腺磁共振成像的射频线圈设计方法。研究结果表明:1×1、2×1、2×2、4×1等4种半球形相控阵射频线圈的绕线形状随着阵列增加而变复杂;惩罚因子取利用L曲线自动选取的值时,磁感应强度线性方程的解最精确,阵列1×1在[10-25,10-18]区间内无论怎样选取惩罚因子,灵敏区内的磁场分布误差(即实际值与理想值之间的误差)都>40%,阵列2×2和4×1的磁场分布误差<10%,但是线圈绕线形状非常复杂,工程上难以实现;手动选取惩罚因子的值,可以使得磁场分布误差<40%,而且线圈的绕线形状简单;与相同半径和高度的圆柱型射频线圈相比,所提出的半球型射频线圈磁场分布更为均匀。可得结论:惩罚因子越小,则线圈绕线越复杂,而磁场分布越均匀;反之,惩罚因子越大,则线圈绕线越简单,而磁场分布越不理想。在简单的线圈绕线形状和保证射频磁场分布均匀之间取得平衡需要根据L曲线手动调节选取惩罚因子的值。
