Multiobjective Programming (MOP) has become famous among many researchers due to more practical and realistic applications. A lot of methods have been proposed especially during the past four decades. In this paper, w...Multiobjective Programming (MOP) has become famous among many researchers due to more practical and realistic applications. A lot of methods have been proposed especially during the past four decades. In this paper, we develop a new algorithm based on a new approach to solve MOP by starting from a utopian point, which is usually infeasible, and moving towards the feasible region via stepwise movements and a simple continuous interaction with decision maker. We consider the case where all objective functions and constraints are linear. The implementation of the pro-posed algorithm is demonstrated by two numerical examples.展开更多
This paper proposes an effective and practical interactive decision making method based on the objective aspiration levels for multiobjective decision making problems with integer variables. The interactive requiremen...This paper proposes an effective and practical interactive decision making method based on the objective aspiration levels for multiobjective decision making problems with integer variables. The interactive requirements of the decision maker (DM) were con展开更多
A decision support model with stochastic multiobjective functions and constraints and its solution procedure are presented for selecting R&D projects, in which the uncertainty of project evaluation and selection, ...A decision support model with stochastic multiobjective functions and constraints and its solution procedure are presented for selecting R&D projects, in which the uncertainty of project evaluation and selection, the interactions of technique, resource and benefit among projects, and the experience, knowledge and preference of R&D managers are considered. The statistical results of stochastic factors representing the benefit contributions and the three kinds of interactions corresponding to each objective among projects are obtained by the Delphi method and QS/NI decision process for developing the model. In the decision analysis solution procedure, experiences and preferences of R&D managers to make decisions are considered by means of aspiration goal levels(AGL), probabilities to reach AGL called satisfied degrees, and probabilities to satisfy the corresponding constraints called feasible degrees, under which a project selection plan can be proposed by the decision analyst or computer. The utility of this model and solution procedure are demonstrated by a real world case example in R&D program of strength and vibration of aircraft turbine engines. which involves 23 project candidates. The evalutions of benefit contributions and interactions of projects are made by 41 experts in the field.展开更多
Porduction planning often comes up in the form of programming problem with continuous variables, where investment project planing usually reduces to cero-one programming. Combination of the choices of investment proje...Porduction planning often comes up in the form of programming problem with continuous variables, where investment project planing usually reduces to cero-one programming. Combination of the choices of investment projects with the existent production capacity, therefore, yields mixed integer programming. With this background, this paper provides a new approach to solving mixed integer programming problems by combining the man-machine interactive method for multiobjective programming with graphics generating techniques.展开更多
文摘Multiobjective Programming (MOP) has become famous among many researchers due to more practical and realistic applications. A lot of methods have been proposed especially during the past four decades. In this paper, we develop a new algorithm based on a new approach to solve MOP by starting from a utopian point, which is usually infeasible, and moving towards the feasible region via stepwise movements and a simple continuous interaction with decision maker. We consider the case where all objective functions and constraints are linear. The implementation of the pro-posed algorithm is demonstrated by two numerical examples.
文摘This paper proposes an effective and practical interactive decision making method based on the objective aspiration levels for multiobjective decision making problems with integer variables. The interactive requirements of the decision maker (DM) were con
文摘A decision support model with stochastic multiobjective functions and constraints and its solution procedure are presented for selecting R&D projects, in which the uncertainty of project evaluation and selection, the interactions of technique, resource and benefit among projects, and the experience, knowledge and preference of R&D managers are considered. The statistical results of stochastic factors representing the benefit contributions and the three kinds of interactions corresponding to each objective among projects are obtained by the Delphi method and QS/NI decision process for developing the model. In the decision analysis solution procedure, experiences and preferences of R&D managers to make decisions are considered by means of aspiration goal levels(AGL), probabilities to reach AGL called satisfied degrees, and probabilities to satisfy the corresponding constraints called feasible degrees, under which a project selection plan can be proposed by the decision analyst or computer. The utility of this model and solution procedure are demonstrated by a real world case example in R&D program of strength and vibration of aircraft turbine engines. which involves 23 project candidates. The evalutions of benefit contributions and interactions of projects are made by 41 experts in the field.
文摘Porduction planning often comes up in the form of programming problem with continuous variables, where investment project planing usually reduces to cero-one programming. Combination of the choices of investment projects with the existent production capacity, therefore, yields mixed integer programming. With this background, this paper provides a new approach to solving mixed integer programming problems by combining the man-machine interactive method for multiobjective programming with graphics generating techniques.
