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Search Results: 1 - 10 of 9227 matches for " Zhiqing Meng "
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A New Augmented Lagrangian Objective Penalty Function for Constrained Optimization Problems  [PDF]
Ying Zheng, Zhiqing Meng
Open Journal of Optimization (OJOp) , 2017, DOI: 10.4236/ojop.2017.62004
Abstract: In this paper, a new augmented Lagrangian penalty function for constrained optimization problems is studied. The dual properties of the augmented Lagrangian objective penalty function for constrained optimization problems are proved. Under some conditions, the saddle point of the augmented Lagrangian objective penalty function satisfies the first-order Karush-Kuhn-Tucker (KKT) condition. Especially, when the KKT condition holds for convex programming its saddle point exists. Based on the augmented Lagrangian objective penalty function, an algorithm is developed for finding a global solution to an inequality constrained optimization problem and its global convergence is also proved under some conditions.
An Objective Penalty Functions Algorithm for Multiobjective Optimization Problem  [PDF]
Zhiqing Meng, Rui Shen, Min Jiang
American Journal of Operations Research (AJOR) , 2011, DOI: 10.4236/ajor.2011.14026
Abstract: By using the penalty function method with objective parameters, the paper presents an interactive algorithm to solve the inequality constrained multi-objective programming (MP). The MP is transformed into a single objective optimal problem (SOOP) with inequality constrains; and it is proved that, under some conditions, an optimal solution to SOOP is a Pareto efficient solution to MP. Then, an interactive algorithm of MP is designed accordingly. Numerical examples show that the algorithm can find a satisfactory solution to MP with objective weight value adjusted by decision maker.
A Penalty Function Algorithm with Objective Parameters and Constraint Penalty Parameter for Multi-Objective Programming  [PDF]
Zhiqing Meng, Rui Shen, Min Jiang
American Journal of Operations Research (AJOR) , 2014, DOI: 10.4236/ajor.2014.46032
Abstract: In this paper, we present an algorithm to solve the inequality constrained multi-objective programming (MP) by using a penalty function with objective parameters and constraint penalty parameter. First, the penalty function with objective parameters and constraint penalty parameter for MP and the corresponding unconstraint penalty optimization problem (UPOP) is defined. Under some conditions, a Pareto efficient solution (or a weakly-efficient solution) to UPOP is proved to be a Pareto efficient solution (or a weakly-efficient solution) to MP. The penalty function is proved to be exact under a stable condition. Then, we design an algorithm to solve MP and prove its convergence. Finally, numerical examples show that the algorithm may help decision makers to find a satisfactory solution to MP.
WCVaR-Based Risk Coordination Model for Multi-Product Supply  [PDF]
Min Jiang, Rui Shen, Zhiqing Meng
Open Journal of Business and Management (OJBM) , 2017, DOI: 10.4236/ojbm.2017.54054
Abstract: The paper develops a multi-product supply chain model where supplyproduction- sale integration is considered and the worst-case conditional value at risk (WCVaR) model is applied as the risk measure, and also provides a coordination strategy to minimize the supply chain risk. First, by analyzing the source demand of market in the supply chain, three WCVaR models consisting of three tiers—the supplier, the manufacturer and the retailer in the supply chain are proposed to measure the market risk. Then, a risk coordination model is proposed to cover the whole supply chain including producing, order, inventory and sales. Finally, the numerical results show the efficiency of the model in mitigating risks. And we make a summary of supply chain risk management strategies.
Multiobjective Interaction Programming Problem with Interaction Constraint for Two Players
Min Jiang,Zhiqing Meng,Xinsheng Xu,Rui Shen,Gengui Zhou
Mathematical Problems in Engineering , 2012, DOI: 10.1155/2012/618928
Abstract: This paper extends an existing cooperative multi-objective interaction programming problem with interaction constraint for two players (or two agents). First, we define an s-optimal joint solution with weight vector to multi-objective interaction programming problem with interaction constraint for two players and get some properties of it. It is proved that the s-optimal joint solution with weight vector to the multi-objective interaction programming problem can be obtained by solving a corresponding mathematical programming problem. Then, we define another s-optimal joint solution with weight value to multi-objective interaction programming problem with interaction constraint for two players and get some of its properties. It is proved that the s-optimal joint solution with weight vector to multi-objective interaction programming problem can be obtained by solving a corresponding mathematical programming problem. Finally, we build a pricing multi-objective interaction programming model for a bi-level supply chain. Numerical results show that the interaction programming pricing model is better than Stackelberg pricing model and the joint pricing model.
Ecdysone Receptor (EcR) Is Involved in the Transcription of Cell Cycle Genes in the Silkworm
Wenliang Qian,Lixia Kang,Tianlei Zhang,Meng Meng,Yonghu Wang,Zhiqing Li,Qingyou Xia,Daojun Cheng
International Journal of Molecular Sciences , 2015, DOI: 10.3390/ijms16023335
Abstract: EcR (ecdysone receptor)-mediated ecdysone signaling pathway contributes to regulate the transcription of genes involved in various processes during insect development. In this work, we detected the expression of EcR gene in silkworm ovary-derived BmN4 cells and found that EcR RNAi result in an alteration of cell shape, indicating that EcR may orchestrate cell cycle progression. EcR RNAi and EcR overexpression analysis revealed that in the cultured BmN4 cells, EcR respectively promoted and suppressed the transcription of E2F-1 and CycE, two genes controlling cell cycle progression. Further examination demonstrated that ecdysone application in BmN4 cells not only changed the transcription of these two cell cycle genes like that under EcR overexpression, but also induced cell cycle arrest at G2/M phase. In vivo analysis confirmed that E2F-1 expression was elevated in silk gland of silkworm larvae after ecdysone application, which is same as its response to ecdysone in BmN4 cells. However, ecdysone also promotes CycE transcription in silk gland, and this is converse with the observation in BmN4 cells. These results provide new insights into understanding the roles of EcR-mediated ecdysone signaling in the regulation of cell cycle.
THE CONE-SUBDIFFERENTIAL STABILITY OF MULTIOBJECTIVEPROGRAMMING WITH PERTURBED ORDER
序扰动多目标规划的锥次微分稳定性

Hu Yuda,Meng Zhiqing,
胡毓达
,孟志青

系统科学与数学 , 2000,
Abstract: In this paper,under given some condition we have proved existence of the subdifferential of the point sets mapping in local convex topological vector spaces. Meanwhile, we have gotten stability for the subdifferential of cone efficient point(solution) sets and cone weakly efficient point(solution) sets of multiobjective programming with respect to perturbation of cone respectively.
Extending Hoare Logic with an Infinite While-Rule
Shao,Zhiqing
计算机科学技术学报 , 1992,
Abstract: In the paper we generalize the while-rule in Hoare calculus to an infinite one and then present a sufficient condition much weaker than the expressiveness for Cook‘2 relative completeness theorem with respect to our new axiomatic system.Using the extended Hoare calculus we can derive true Hoare formulas which contain while statements free of loop invariants.It is also pointed out that the weak condition is a first order property and therefore provides a possible approach to the characterization of relative completeness which is also a first order property.
Status of Leading-Order Hadronic Vacuum Polarization Dispersion Calculation
Zhang, Zhiqing
High Energy Physics - Phenomenology , 2013,
Abstract: The leading-order hadronic contribution to the muon magnetic anomaly a_{\mu} = (g_{\mu} - 2)/2, calculated using a dispersion integral of e+e- annihilation data and tau decay data, is briefly reviewed. This contribution has the largest uncertainty to the predicted value of a_{\mu}, which differs from the experimental value by ~3.6 (2.4) standard deviations for the e+e- (tau) based analysis. New results since the last workshop and main open issues on the subject are discussed.
Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation
Zhiqing Han
Boundary Value Problems , 2010, DOI: 10.1155/2010/945421
Abstract: We investigate the existence of periodic solutions of linear Hamiltonian systems with a nonlinear perturbation. Under generalized Ahmad-Lazer-Paul type coercive conditions for the nonlinearity on the kernel of the linear part, existence of periodic solutions is obtained by saddle point theorems. A note on a result of Rabinowitz is also given.
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