ON COMPROMISE SOLUTIONS IN MULTIPLE OBJECTIVE PROGRAMMING

被引:2
|
作者
Soleimani-Damaneh, Majid [1 ]
Zamani, Moslem [1 ]
机构
[1] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Enghelab Ave, Tehran, Iran
关键词
Multiple objective programming; compromise solution; properly efficient solution; EFFICIENT SOLUTIONS; PROPER EFFICIENCY; TRADE-OFFS;
D O I
10.1051/ro/2017071
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
Compromise solutions, as feasible points as close as possible to the ideal (utopia) point, are important solutions in multiple objective programming. It is known in the literature that each compromise solution is a properly efficient solution if the sum of the image set and conical ordering cone is closed. In this paper, we prove the same result in a general setting without any assumption.
引用
收藏
页码:383 / 390
页数:8
相关论文
共 50 条
  • [21] A Compromise Programming for Multi-Objective Task Assignment Problem
    Ngo, Son Tung
    Jaafar, Jafreezal
    Aziz, Izzatdin Abdul
    Anh, Bui Ngoc
    [J]. COMPUTERS, 2021, 10 (02) : 1 - 16
  • [22] Integer programming duality in multiple objective programming
    Klamroth, K
    Tind, J
    Zust, S
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2004, 29 (01) : 1 - 18
  • [23] Integer Programming Duality in Multiple Objective Programming
    Kathrin Klamroth
    Jørgen Tind
    Sibylle Zust
    [J]. Journal of Global Optimization, 2004, 29 : 1 - 18
  • [24] Idea by multiple objective programming
    Yu, Jing-Rung
    [J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2007, 3 (01): : 21 - 29
  • [25] Rough multiple objective programming
    Atteya, T. E. M.
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2016, 248 (01) : 204 - 210
  • [26] Order Structure Analysis(OSA) for the Optimal Solutions of Multiple Objective Mathematical Programming
    FENG Junwen(Soft Science Research Institute
    [J]. Journal of Systems Science and Systems Engineering, 1994, (01) : 26 - 32
  • [27] Multiple objective linear programming with interval coefficients and its all efficient solutions
    Ida, M
    [J]. PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 2122 - 2123
  • [28] An adaptive compromise programming method for multi-objective path optimization
    Rongrong Li
    Yee Leung
    Hui Lin
    Bo Huang
    [J]. Journal of Geographical Systems, 2013, 15 : 211 - 228
  • [29] MULTIPLE OBJECTIVES IN AGRICULTURAL PLANNING - A COMPROMISE PROGRAMMING APPLICATION
    ROMERO, C
    AMADOR, F
    BARCO, A
    [J]. AMERICAN JOURNAL OF AGRICULTURAL ECONOMICS, 1987, 69 (01) : 78 - 86
  • [30] An adaptive compromise programming method for multi-objective path optimization
    Li, Rongrong
    Leung, Yee
    Lin, Hui
    Huang, Bo
    [J]. JOURNAL OF GEOGRAPHICAL SYSTEMS, 2013, 15 (02) : 211 - 228