On a Weighting Technique for Multiple Cost Optimization Problems with Interval Values

被引:0
作者
Treanta, Savin [1 ,2 ,3 ]
Alsalami, Omar Mutab [4 ]
机构
[1] Natl Univ Sci & Technol Politehn Bucharest, Fac Appl Sci, Bucharest 060042, Romania
[2] Acad Romanian Scientists, 54 Splaiul Independentei, Bucharest 050094, Romania
[3] Natl Univ Sci & Technol Politehn Bucharest, Fundamental Sci Appl Engn Res Ctr, Bucharest 060042, Romania
[4] Taif Univ, Coll Engn, Dept Elect Engn, Taif 21944, Saudi Arabia
关键词
multiple cost optimization problems; weighting technique; convex interval-valued controlled multiple integral functional; LU-efficient point; OPTIMALITY CONDITIONS; DUALITY;
D O I
10.3390/math12152321
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper deals with a weighting technique for a class of multiple cost optimization problems with interval values. More specifically, we introduce a multiobjective interval-valued controlled model and investigate it by applying the weighting method. In this regard, several characterization theorems are derived. Moreover, a numerical example is formulated. Based on the provided illustrative example and performing a comparative analysis of the results obtained using the weighting technique versus traditional optimization methods, we can easily conclude the effectiveness of the weighting technique in solving multiple cost optimization problems, that is, the conversion of a vector problem to a scalar one.
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页数:10
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共 26 条
[1]   Sufficiency and duality in interval-valued variational programming [J].
Ahmad, I ;
Jayswal, Anurag ;
Al-Homidan, S. ;
Banerjee, Jonaki .
NEURAL COMPUTING & APPLICATIONS, 2019, 31 (08) :4423-4433
[2]  
Ahmad I., 2015, CONTROL CYBERN, V44, P19, DOI DOI 10.2298/FIL1608121A
[3]  
Alefeld G, 1983, INTRO INTERVAL COMPU
[4]  
Antczak T, 2022, U POLITEH BUCH SER A, V84, P155
[5]   ALGORITHM FOR SOLVING INTERVAL LINEAR-PROGRAMMING PROBLEMS [J].
CHARNES, A ;
GRANOT, F ;
PHILLIPS, F .
OPERATIONS RESEARCH, 1977, 25 (04) :688-695
[6]   On optimality and duality in interval-valued variational problem with B-(p, r)-invexity [J].
Debnath, Indira P. ;
Pokharna, Nisha .
RAIRO-OPERATIONS RESEARCH, 2021, 55 (03) :1909-1932
[7]   THEOREMS OF THE ALTERNATIVE AND OPTIMALITY CONDITIONS [J].
GIANNESSI, F .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1984, 42 (03) :331-365
[8]  
Giorgi G., 2014, DEM Working Paper Series, V94
[9]   Solving nonsmooth interval optimization problems based on interval-valued symmetric invexity [J].
Guo, Yating ;
Ye, Guoju ;
Liu, Wei ;
Zhao, Dafang ;
Treanta, Savin .
CHAOS SOLITONS & FRACTALS, 2023, 174
[10]   MULTIOBJECTIVE PROGRAMMING IN OPTIMIZATION OF THE INTERVAL OBJECTIVE FUNCTION [J].
ISHIBUCHI, H ;
TANAKA, H .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1990, 48 (02) :219-225