Relations of parameter decomposition and optimal solutions of large scale multi-objective programming model with trapezoidal structure

2013 ◽  
Author(s):  
Jie Zhang ◽  
Ni Liu ◽  
Lianjie Shan ◽  
Xiang Feng
Keyword(s):  
Large Scale ◽  
Programming Model ◽  
Optimal Solutions ◽  
Multi Objective ◽  
Multi Objective Programming ◽  
Objective Programming

A fuzzy multi-objective programming optimization model for emergency resource dispatching under equitable distribution principle

2021 ◽  
pp. 1-10
Author(s):  
Zhaoping Tang ◽  
Wenda Li ◽  
Shijun Yu ◽  
Jianping Sun
Keyword(s):  
Optimization Model ◽  
Programming Model ◽  
Ideal Point ◽  
Optimal Solution ◽  
Multi Objective ◽  
Emergency Rescue ◽  
Satisfaction Degree ◽  
Multi Objective Programming ◽  
Parameter Interval ◽  
Objective Programming

In the initial stage of emergency rescue for major railway emergencies, there may be insufficient emergency resources. In order to ensure that all the emergency demand points can be effectively and fairly rescued, considering the fuzzy properties of the parameters, such as the resource demand quantity, the dispatching time and the satisfaction degree, the railway emergency resources dispatching optimization model is studied, with multi- demand point, multi-depot, and multi-resource. Based on railway rescue features, it was proposed that the couple number of relief point - emergency point is the key to affect railway rescue cost and efficiency. Under the premise of the maximum satisfaction degree of quantity demanded at all emergency points, a multi-objective programming model is established by maximizing the satisfaction degree of dispatching time and the satisfaction degree of the couple number of relief point - emergency point. Combined with the ideal point method, a restrictive parameter interval method for optimal solution was designed, which can realize the quick seek of Pareto optimal solution. Furthermore, an example is given to verify the feasibility and effectiveness of the method.

A Multi-Objective Programming Model of Dynamic Adjusting Flight Traffic

2014 ◽  
Vol 538 ◽  
pp. 127-133 ◽  
Author(s):  
Zhao Ning Zhang ◽  
Zhong Zhou Hao ◽  
Zheng Gao
Keyword(s):  
Load Balance ◽  
Optimal Allocation ◽  
Least Squares Method ◽  
Programming Model ◽  
Limiting Factors ◽  
Flight Delays ◽  
Traffic Demand ◽  
Multi Objective ◽  
Multi Objective Programming ◽  
Objective Programming

To alleviate the conflicts between the current flight traffic demand and the resource constraints of airspace, we need to improve the restrictions of flow allocation caused by the static air traffic flow allocation mode. The author analyzes the optimal allocation problem of dynamic adjusting flight flow and draws the conclusion that the problem should satisfy multiple targets, such as low flight delays, low flight cost and balancing the load of the route. Then consider a variety of limiting factors, such as the capacity of the route, flight planning, emergency situations, etc. Then establish multi-objective programming model of dynamic adjusting flight traffic. The objective function is determined by the flight cost, the flight delays and the value of the load balance. And the value of the load balance was first proposed according to the idea of least squares method. Then solve the model based on linear weighted technique. Finally the numerical result shows that the model can satisfy the multiple objectives and dynamic adjust the flight traffic optimally, that proves the rationality and validity of the model and the algorithm.

Evaluation of Electric Vehicles' Impacts and Rationalization of their Energy Sources' Distribution Based on Analytic Hierarchy Process and Multi-Objective Programming Model

2014 ◽  
Vol 707 ◽  
pp. 525-531
Author(s):  
Ze Ming Jiang ◽  
Cong Hou
Keyword(s):  
Analytic Hierarchy Process ◽  
Electric Vehicles ◽  
Programming Model ◽  
Key Factors ◽  
Analytic Hierarchy ◽  
Multi Objective ◽  
Multi Objective Programming ◽  
Objective Programming ◽  
Hierarchy Process ◽  
Economic And Social Impacts

By using Analytic Hierarchy Process (AHP), a solution is given in different aspects to analyze the weight of the impacts of electric vehicles. The economic and social impacts are found out to be the key factors. When EV’s penetration rate reaches a certain level, the lowest cost, lowest harm degree to our environment and society, and maximum possibility are considered to avoid using un-renewable energy. In addition, multi-objective programming model is built to solve the problem of the amount and type of electricity generation needed that will produce the largest number of benefits.

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