THEORETICAL FRAMEWORK FOR STOCHASTIC PROGRAMMING

被引:0
|
作者
Novotny, Jan [1 ]
机构
[1] Brno Univ Technol, Inst Math, Brno 61669, Czech Republic
来源
MENDELL 2009 | 2009年
关键词
Stochastic programming; Two-stage stochastic programming; Separable function; Here-and-now; Wait-and-see; Probability;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper aims to present a theoretical framework for stochastic programming models, i.e. for optimization models that involve uncertainty. The framework is characterized by two distinctive features: it is based on the notions of a mathematical program and a probability space. Based on these, it allows the common stochastic programming models to be rigorously derived, and hopefully well understood. Such approach is not common in the literature (See Reference), the stochasticity is generally introduced to a deterministic program after it has been built.
引用
收藏
页码:239 / 246
页数:8
相关论文
共 50 条
  • [1] Disciplined Convex Stochastic Programming: A New Framework for Stochastic Optimization
    Ali, Alnur
    Kolter, J. Zico
    Diamond, Steven
    Boyd, Stephen
    UNCERTAINTY IN ARTIFICIAL INTELLIGENCE, 2015, : 62 - 71
  • [2] STOCHASTIC AUTOMATA THEORETICAL APPROACH TO DYNAMIC PROGRAMMING
    GOSCINSKI, A
    JAKUBOWSKI, R
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES, 1972, 20 (05): : 425 - +
  • [3] Towards a stochastic programming modeling framework for districting
    Antonio Diglio
    Stefan Nickel
    Francisco Saldanha-da-Gama
    Annals of Operations Research, 2020, 292 : 249 - 285
  • [4] Towards a stochastic programming modeling framework for districting
    Diglio, Antonio
    Nickel, Stefan
    da Gama, Francisco Saldanha
    ANNALS OF OPERATIONS RESEARCH, 2020, 292 (01) : 249 - 285
  • [5] Programming in the brain: a neural network theoretical framework
    Donnarumma, Francesco
    Prevete, Roberto
    Trautteur, Giuseppe
    CONNECTION SCIENCE, 2012, 24 (2-3) : 71 - 90
  • [6] Context in Exploratory Programming: Towards a Theoretical Framework
    Chattopadhyay, Souti
    2017 IEEE SYMPOSIUM ON VISUAL LANGUAGES AND HUMAN-CENTRIC COMPUTING (VL/HCC), 2017, : 325 - 326
  • [7] Stochastic programming-a theoretical field or relevant for managers?
    Tomasgard, Asgeir
    Lisser, Abdel
    Beraldi, Patrizia
    Moriggia, Vittorio
    IMA JOURNAL OF MANAGEMENT MATHEMATICS, 2017, 28 (01) : 3 - 4
  • [8] Stochastic programming framework for Lithuanian pension payout modelling
    Kabasinskas, Audrius
    Sutiene, Kristina
    Valakevicius, Eimutis
    Maggioni, Francesca
    CROATIAN OPERATIONAL RESEARCH REVIEW, 2014, 5 (02) : 387 - 399
  • [9] A Stochastic Dual Dynamic Programming Framework for Multiscale MPC
    Kumar, Ranjeet
    Wenzel, Michael J.
    Ellis, Matthew J.
    ElBsat, Mohammad N.
    Drees, Kirk H.
    Zavala, Victor M.
    IFAC PAPERSONLINE, 2018, 51 (20): : 493 - 498
  • [10] Correction to: Towards a stochastic programming modeling framework for districting
    Antonio Diglio
    Stefan Nickel
    Francisco Saldanha-da-Gama
    Annals of Operations Research, 2024, 332 : 1241 - 1241