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Minimax and risk averse multistage stochastic programming

Alexander Shapiro (ashapiro***at***isye.gatech.edu)

Abstract: In this paper we study relations between the minimax, risk averse and nested formulations of multistage stochastic programming problems. In particular, we discuss conditions for time consistency of such formulations of stochastic problems. We also describe a connection between law invariant coherent risk measures and the corresponding sets of probability measures in their dual representation. Finally, we discuss a minimax approach with moment constraints to the classical inventory model.

Keywords: stochastic programming, dynamic equations, robust optimization, coherent risk measures, risk averse stochastic optimization, problem of moments, inventory model

Category 1: Stochastic Programming

Category 2: Other Topics (Dynamic Programming )

Category 3: Robust Optimization

Citation: Technical report

Download: [PDF]

Entry Submitted: 01/05/2011
Entry Accepted: 01/06/2011
Entry Last Modified: 06/29/2011

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