Overview on Mixed Integer Nonlinear Programming Problems

被引：0
|
作者：
Fernandes, Florbela P. [1 ]
Costa, M. Fernanda P. [2 ,3 ]
Fernandes, Edite M. G. P. [4 ]
机构：
[1] Polytech Inst Braganca, Dept Math, Braganca, Portugal
[2] Univ Minho, P-4719 Braga, Portugal
[3] Univ Minho, Dept Mat Sci & Technol, P-4719 Braga, Portugal
[4] Univ Minho, Dept Sci Syst, P-4719 Braga, Portugal
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 | 2009年 / 1168卷
关键词：
mixed-integer nonlinear programs; branch-and-bound; outer-approximation; ALGORITHM; BRANCH;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Many optimization problems involve integer and continuous variables that can be modeled as mixed integer nonlinear programming (MINLP) problems. This has led to a wide range of applications, in particular in some engineering areas. Here, we provide a brief overview on MINLP, and present a simple idea for a future nonconvex MINLP solution technique.
引用
下载
收藏
页码：1374 / +
页数：2
相关论文
共 50 条
  • [1] Mixed integer nonlinear programming tools: a practical overview
    Claudia D’Ambrosio
    Andrea Lodi
    4OR, 2011, 9 : 329 - 349
  • [2] Mixed integer nonlinear programming tools: a practical overview
    D'Ambrosio, Claudia
    Lodi, Andrea
    4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2011, 9 (04): : 329 - 349
  • [3] ON A PAIR OF NONLINEAR MIXED INTEGER PROGRAMMING-PROBLEMS
    MISHRA, MS
    ACHARYA, D
    NANDA, S
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1985, 19 (01) : 98 - 103
  • [4] Mixed integer nonlinear programming tools: an updated practical overview
    Claudia D’Ambrosio
    Andrea Lodi
    Annals of Operations Research, 2013, 204 : 301 - 320
  • [5] Mixed integer nonlinear programming tools: an updated practical overview
    D'Ambrosio, Claudia
    Lodi, Andrea
    ANNALS OF OPERATIONS RESEARCH, 2013, 204 (01) : 301 - 320
  • [6] An optimal control approach to nonlinear mixed integer programming problems
    Lee, HWJ
    Teo, KL
    Cai, XQ
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 36 (03) : 87 - 105
  • [7] A NOTE ON A PAIR OF NONLINEAR MIXED INTEGER PROGRAMMING-PROBLEMS
    MISHRA, MS
    NANDA, S
    ACHARYA, D
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1987, 28 (01) : 89 - 92
  • [8] A trajectory-based method for mixed integer nonlinear programming problems
    Oliphant, Terry-Leigh
    Ali, M. Montaz
    JOURNAL OF GLOBAL OPTIMIZATION, 2018, 70 (03) : 601 - 623
  • [9] Convex mixed integer nonlinear programming problems and an outer approximation algorithm
    Wei, Zhou
    Ali, M. Montaz
    JOURNAL OF GLOBAL OPTIMIZATION, 2015, 63 (02) : 213 - 227
  • [10] A trajectory-based method for mixed integer nonlinear programming problems
    Terry-Leigh Oliphant
    M. Montaz Ali
    Journal of Global Optimization, 2018, 70 : 601 - 623
12345