Focus Programming: A Fundamental Alternative for Stochastic Optimization Problems

15 Pages Posted: 14 Mar 2019

See all articles by Peijun Guo

Peijun Guo

Yokohama National University - Faculty of Business Administration

Xide Zhu

Yokohama National University - Faculty of Business Administration

Date Written: February 14, 2019

Abstract

A fundamental alternative for stochastic optimization problems named focus programming is proposed based on the focus theory of choice. Different from the existing approaches such as chance-constrained programming and two-stage stochastic programming which are based on expected utility theory, focus programming determines the optimal solution according to which solution’s focus (the most salient realization of random vector) is the most preferred. Focus programming models are bilevel programming problems with maximin-type upper and lower level programs which are interesting and challenging. Two equivalent single-level reformulations of the focus programming models have been proposed for the discrete random vector case.

Keywords: decision theory, stochastic optimization problem, bilevel programming problem

JEL Classification: C02, C44, C61

Suggested Citation

Guo, Peijun and Zhu, Xide, Focus Programming: A Fundamental Alternative for Stochastic Optimization Problems (February 14, 2019). Available at SSRN: https://ssrn.com/abstract=3334211 or http://dx.doi.org/10.2139/ssrn.3334211

Peijun Guo (Contact Author)

Yokohama National University - Faculty of Business Administration ( email )

79-4 Tokiwa-dai Hodogaya-ku
Yokohama, Kanagawa, 2408501
Japan

Xide Zhu

Yokohama National University - Faculty of Business Administration ( email )

79-4 Tokiwa-dai Hodogaya-ku
Yokohama, Kanagawa, 2408501
Japan

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