Well-dispersed subsets of non-dominated solutions for MOMILP problem
محل انتشار: مجله بین المللی ریاضیات صنعتی، دوره: 7، شماره: 3
سال انتشار: 1394
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 47
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شناسه ملی سند علمی:
JR_IJIM-7-3_005
تاریخ نمایه سازی: 27 دی 1402
چکیده مقاله:
This paper uses the weighted L_۱-norm to propose an algorithm for finding a well-dispersed subset of non-dominated solutions of multiple objective mixed integer linear programming problem. When all variables are integer it finds the whole set of efficient solutions. In each iteration of the proposed method only a mixed integer linear programming problem is solved and its optimal solutions generates the elements of the well-dispersed subset non-dominated solutions (WDSNDSs) of MOMILP. According to the distance of non-dominated solutions from the ideal point theelements of the WDSNDSs are ranked, hence it does not need the filtering procedures. Using suitable values for the parameter of the proposed model an appropriate WDSNDSs by less computational efforts can be generated. Two numerical examples present to illustrate the applicability of the proposed method and compare it with earlier work.
کلیدواژه ها:
Multi-Objective Mixed Integer Linear Programming ، Efficient solutions ، Well-dispersed subset non-dominated solutions ، L_۱-norm
نویسندگان
SH. Razavyan
Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran.