Lexicographic optimal solution of the multi-objective programming problem subject to max-product fuzzy relation inequalities

2018 ◽  
Vol 341 ◽  
pp. 92-112 ◽  
Author(s):  
Xiao-Peng Yang ◽  
De-Hui Yuan ◽  
Bing-Yuan Cao
2021 ◽  
pp. 1-10
Author(s):  
Zhaoping Tang ◽  
Wenda Li ◽  
Shijun Yu ◽  
Jianping Sun

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.


Author(s):  
Fugui Dong ◽  
Chunxu Jin ◽  
Lei Shi ◽  
Meimei Shang

Abstract With the trend of high proportion of renewable energy connecting with grid, peaking services has played a crucial role in the integration of wind power and other renewable energy sources. The current peaking service takes into account only the cost of thermal power units that providing peaking service without considering the impact of its own reliability on the peaking service and the safe operation of the power system. In this paper, the traditional uniform clearing mechanism has been improved, and the reliability factor of ancillary service provided by thermal power units has been included in the previous quotation-based sorting rule, and a multi-objective programming optimal purchasing model considering synergistic capacity cost and power system stability is established. According to the optimal solution of each objective, Pareto optimal solution of multi-objective programming problem is obtained by the ideal point method. Then the ancillary service price and purchase cost are obtained based on the solution.


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