Present paper deals a M/M/1:(∞;GD) queueing model with interdependent controllable arrival and service rates where- in customers arrive in the system according to poisson distribution with two different arrivals rate...Present paper deals a M/M/1:(∞;GD) queueing model with interdependent controllable arrival and service rates where- in customers arrive in the system according to poisson distribution with two different arrivals rates-slower and faster as per controllable arrival policy. Keeping in view the general trend of interdependent arrival and service processes, it is presumed that random variables of arrival and service processes follow a bivariate poisson distribution and the server provides his services under general discipline of service rule in an infinitely large waiting space. In this paper, our central attention is to explore the probability generating functions using Rouche’s theorem in both cases of slower and faster arrival rates of the queueing model taken into consideration;which may be helpful for mathematicians and researchers for establishing significant performance measures of the model. Moreover, for the purpose of high-lighting the application aspect of our investigated result, very recently Maurya [1] has derived successfully the expected busy periods of the server in both cases of slower and faster arrival rates, which have also been presented by the end of this paper.展开更多
In mixed fisheries where there is an increased ecological interdependence between two or more target species, the possibilities of fishing these species must be determined jointly, since catches of one species will im...In mixed fisheries where there is an increased ecological interdependence between two or more target species, the possibilities of fishing these species must be determined jointly, since catches of one species will impact the natural growth not only of that species but of the others, as well. The objective of this paper is to develop a predator-prey model for two major species caught by the EU fishing fleet on European Union fishing grounds. The predator and prey’s population dynamics follow the Lotka-Volterra equation and are assumed to be logic-based, and a lineal interaction between the predator and prey populations is assumed. Optimal single owner multispecies fishery management is analysed, and the applied model is solved, obtaining the equilibrium value of biomasses, catches, and net benefits of the mixed fishery. The results show that the MSY of the predator is higher than that estimated by ICES, while MSY for prey is lower. The sensitivity analysis of the results reveals that the biomass levels of both species decrease as the discount rate increases, while catches increase.展开更多
目的利用主客体互倚模型探讨克罗恩病患者及其配偶主观幸福感对婚姻调适的作用。方法采取方便抽样法,抽取南京市某3级甲等医院210对患者及配偶为研究对象,选用自制一般资料调查表、主观幸福感量表简表(Subjective Well-being Scale for ...目的利用主客体互倚模型探讨克罗恩病患者及其配偶主观幸福感对婚姻调适的作用。方法采取方便抽样法,抽取南京市某3级甲等医院210对患者及配偶为研究对象,选用自制一般资料调查表、主观幸福感量表简表(Subjective Well-being Scale for Chinese Citizens,SWBS-CC20)、Locke-Wollance婚姻调适测定(Locke-Wollance Marital Adjustment Test,LWMAT)对其进行调查。采用独立样本t检验和卡方检验比较夫妻主观幸福感和婚姻调适方面的差异,通过主客体互倚模型和Pearson分析法,分析夫妻双方主观幸福感对婚姻调适的影响。结果患者和配偶各自的主观幸福感均可以正向预测自身婚姻调适(β=0.67、0.71,P<0.01),即主体效应明显;同时,患者与配偶的主观幸福感均能正向预测对方的婚姻调适(β=0.47、0.46,P<0.01),即客体效应明显。结论克罗恩病患者及配偶的婚姻调适受自身及对方主观幸福感的交互影响,且主观幸福感与婚姻调适之间主体效应和客体效应显著。因此应将克罗恩病患者及配偶视为一个整体,关注夫妻双方的二元交互影响,积极探索以夫妻为中心的婚姻调适干预方案,对改善克罗恩病夫妻的心理适应有重要意义。展开更多
The controllability problem of heterogeneous interdependent group systems with undirected and directed topology is investigated in this paper. First, the interdependent model of the heterogeneous system is set up acco...The controllability problem of heterogeneous interdependent group systems with undirected and directed topology is investigated in this paper. First, the interdependent model of the heterogeneous system is set up according to the difference of individual characteristics. An extended distributed protocol with the external sliding-mode control is designed, under which it is shown that a heterogeneous interdependent group system is controllable when the corresponding communication topology is controllable. Then, using the network eigenvalue method, the driving individuals are determined for a heterogeneous system with undirected topology. Under directed topology, the maximum match method is utilized to confirm the driving individuals. Some sufficient and necessary conditions are presented to assure that the heterogeneous interdependent group system is structurally controllable. Via theoretical analysis, the controllability of heterogeneous interdependent systems is related to the interdependent manner and the structure of the heterogeneous system. Numerical simulations are provided to demonstrate the effectiveness of the theoretical results.展开更多
文摘Present paper deals a M/M/1:(∞;GD) queueing model with interdependent controllable arrival and service rates where- in customers arrive in the system according to poisson distribution with two different arrivals rates-slower and faster as per controllable arrival policy. Keeping in view the general trend of interdependent arrival and service processes, it is presumed that random variables of arrival and service processes follow a bivariate poisson distribution and the server provides his services under general discipline of service rule in an infinitely large waiting space. In this paper, our central attention is to explore the probability generating functions using Rouche’s theorem in both cases of slower and faster arrival rates of the queueing model taken into consideration;which may be helpful for mathematicians and researchers for establishing significant performance measures of the model. Moreover, for the purpose of high-lighting the application aspect of our investigated result, very recently Maurya [1] has derived successfully the expected busy periods of the server in both cases of slower and faster arrival rates, which have also been presented by the end of this paper.
文摘In mixed fisheries where there is an increased ecological interdependence between two or more target species, the possibilities of fishing these species must be determined jointly, since catches of one species will impact the natural growth not only of that species but of the others, as well. The objective of this paper is to develop a predator-prey model for two major species caught by the EU fishing fleet on European Union fishing grounds. The predator and prey’s population dynamics follow the Lotka-Volterra equation and are assumed to be logic-based, and a lineal interaction between the predator and prey populations is assumed. Optimal single owner multispecies fishery management is analysed, and the applied model is solved, obtaining the equilibrium value of biomasses, catches, and net benefits of the mixed fishery. The results show that the MSY of the predator is higher than that estimated by ICES, while MSY for prey is lower. The sensitivity analysis of the results reveals that the biomass levels of both species decrease as the discount rate increases, while catches increase.
文摘目的利用主客体互倚模型探讨克罗恩病患者及其配偶主观幸福感对婚姻调适的作用。方法采取方便抽样法,抽取南京市某3级甲等医院210对患者及配偶为研究对象,选用自制一般资料调查表、主观幸福感量表简表(Subjective Well-being Scale for Chinese Citizens,SWBS-CC20)、Locke-Wollance婚姻调适测定(Locke-Wollance Marital Adjustment Test,LWMAT)对其进行调查。采用独立样本t检验和卡方检验比较夫妻主观幸福感和婚姻调适方面的差异,通过主客体互倚模型和Pearson分析法,分析夫妻双方主观幸福感对婚姻调适的影响。结果患者和配偶各自的主观幸福感均可以正向预测自身婚姻调适(β=0.67、0.71,P<0.01),即主体效应明显;同时,患者与配偶的主观幸福感均能正向预测对方的婚姻调适(β=0.47、0.46,P<0.01),即客体效应明显。结论克罗恩病患者及配偶的婚姻调适受自身及对方主观幸福感的交互影响,且主观幸福感与婚姻调适之间主体效应和客体效应显著。因此应将克罗恩病患者及配偶视为一个整体,关注夫妻双方的二元交互影响,积极探索以夫妻为中心的婚姻调适干预方案,对改善克罗恩病夫妻的心理适应有重要意义。
基金Project supported by the National Natural Science Foundation of China(Grant Nos.61603137 and 11662002)the Innovation Team Project of Jiangxi Provincial Innovation Drive "5511" Advantaged Science and Technology(Grant No.20165BCB19011)+2 种基金the Natural Science Foundation of Jiangxi Province,China(Grant Nos.20171BAB212016 and 20171BAB202029)the Key Research and Development Project of the Technology Department of Jiangxi Province,China(Grant No.20161BBE53008)the Doctoral Scientific Research Foundation of East China Jiaotong University(Grant No.2003418002)
文摘The controllability problem of heterogeneous interdependent group systems with undirected and directed topology is investigated in this paper. First, the interdependent model of the heterogeneous system is set up according to the difference of individual characteristics. An extended distributed protocol with the external sliding-mode control is designed, under which it is shown that a heterogeneous interdependent group system is controllable when the corresponding communication topology is controllable. Then, using the network eigenvalue method, the driving individuals are determined for a heterogeneous system with undirected topology. Under directed topology, the maximum match method is utilized to confirm the driving individuals. Some sufficient and necessary conditions are presented to assure that the heterogeneous interdependent group system is structurally controllable. Via theoretical analysis, the controllability of heterogeneous interdependent systems is related to the interdependent manner and the structure of the heterogeneous system. Numerical simulations are provided to demonstrate the effectiveness of the theoretical results.
