Constructing Uncertainty Sets for Robust Linear Optimization

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Constructing Uncertainty Sets for Robust Linear Optimization

In this paper, we propose a methodology for constructing uncertainty sets within the framework of robust optimization for linear optimization problems with uncertain parameters. Our approach relies on decision-maker risk preferences. Specifically, we utilize the theory of coherent risk measures initiated by Artzner et al. [3], and show that such risk measures, in conjunction with the support of...

متن کامل

Robust Optimization using Machine Learning for Uncertainty Sets

Our goal is to build robust optimization problems for making decisions based on complex data from the past. In robust optimization (RO) generally, the goal is to create a policy for decision-making that is robust to our uncertainty about the future. In particular, we want our policy to best handle the the worst possible situation that could arise, out of an uncertainty set of possible situation...

متن کامل

Explicit Reformulations for Robust Optimization Problems with General Uncertainty Sets

We consider a rather general class of mathematical programming problems with data uncertainty, where the uncertainty set is represented by a system of convex inequalities. We prove that the robust counterparts of this class of problems can be equivalently reformulated as finite and explicit optimization problems. Moreover, we develop simplified reformulations for problems with uncertainty sets ...

متن کامل

Decomposition for adjustable robust linear optimization subject to uncertainty polytope

We present in this paper a general decomposition framework to solve exactly adjustable robust linear optimization problems subject to polytope uncertainty. Our approach is based on replacing the polytope by the set of its extreme points and generating the extreme points on the fly within row generation or column-and-row generation algorithms. The novelty of our approach lies in formulating the ...

متن کامل

The Use of Decision-dependent Uncertainty Sets in Robust Optimization

This paper contemplates the amenability of Robust Optimization to address problems that involve endogenous uncertainty, i.e., uncertainty that is affected by the decision maker’s strategy. To that end, we extend generic polyhedral uncertainty sets that are typically considered in RO into sets that depend on the actual decisions. Such dependency allows us not only to capture functional changes i...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Operations Research

سال: 2009

ISSN: 0030-364X,1526-5463

DOI: 10.1287/opre.1080.0646