Solution of a Bi-level Programming Problem with Inexact Parameters

被引：0
|
作者：
Jana, Mrinal [1 ]
Panda, Geetanjali [2 ]
机构：
[1] Univ Petr & Energy Studies, Dehra Dun 248007, Uttarakhand, India
[2] Indian Inst Technol Kharagpur, Kharagpur 721302, W Bengal, India
来源：
RECENT ADVANCES IN INTELLIGENT INFORMATION SYSTEMS AND APPLIED MATHEMATICS | 2020年 / 863卷
关键词：
Nonlinear optimization; Uncertain optimization; Interval valued function; Interval inequality; Order relation; BILEVEL; OPTIMIZATION;
D O I：
10.1007/978-3-030-34152-7_45
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In a bi-level programming, coefficients in the objective functions and the constraints may not to be fixed real numbers due to the presence of uncertainties in the domain of the model. This paper develops a methodology to solve these type bi-level programming problems whose parameters in the upper and lower level objective functions and constraints vary in intervals. A methodology is derived to find a compromising solution. The methodology is illustrated through numerical example.
引用
收藏
页码：579 / 597
页数：19
相关论文
共 50 条
  • [21] A bi-level programming model for the land use - network design problem
    Lin, JJ
    Feng, CM
    ANNALS OF REGIONAL SCIENCE, 2003, 37 (01): : 93 - 105
  • [22] A Bi-level Programming to Two-stage Transportation Planning Problem
    Feng, Cuiying
    Nie, Ling
    2014 SEVENTH INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION (CSO), 2014, : 616 - 620
  • [23] Production and work force assignment problem: A bi-level programming approach
    Zhou, Xiaoyang
    Tu, Yan
    Lev, Benjamin
    INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT, 2015, 10 (01) : 50 - 61
  • [24] An algorithm for the solution of bi-level programming problems in transport network analysis
    Zhang, XY
    Maher, M
    MATHEMATICS IN TRANSPORT PLANNING AND CONTROL, 1998, : 177 - 186
  • [25] Optimality conditions and duality results for a robust bi-level programming problem
    Saini, Shivani
    Kailey, Navdeep
    Ahmad, Izhar
    RAIRO-OPERATIONS RESEARCH, 2023, 57 (02) : 525 - 539
  • [26] Bi-level Programming Model and Algorithm for Stochastic Location Inventory Problem
    Tang Qiong
    Li Yan-hui
    ICPOM2008: PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE OF PRODUCTION AND OPERATION MANAGEMENT, VOLUMES 1-3, 2008, : 472 - 476
  • [27] Algorithm for bi-level linear programming
    Beijing Univ of Aeronautics and, Astronautics, Beijing, China
    Beijing Hangkong Hangtian Daxue Xuebao, 1 (78-83):
  • [28] A bi-level programming problem for transporting hazardous materials with a bi-modal transportation network
    Ketabi, Akbar
    Ghaderi, Abdolsalam
    Mahmoodi, Anwar
    INTERNATIONAL JOURNAL OF SHIPPING AND TRANSPORT LOGISTICS, 2022, 15 (3-4) : 355 - 381
  • [29] A bi-level programming model and solution algorithm for the location of logistics distribution centers
    Sun Huijun
    Gao Ziyou
    Wu Hanjun
    APPLIED MATHEMATICAL MODELLING, 2008, 32 (04) : 610 - 616
  • [30] A genetic algorithm for bi-level linear programming dynamic network design problem
    Lin, Dung-Ying
    Unnikrishnan, Avinash
    Waller, S. Travis
    TRANSPORTATION LETTERS-THE INTERNATIONAL JOURNAL OF TRANSPORTATION RESEARCH, 2009, 1 (04): : 281 - 294
12345