Stability of multistage stochastic programs incorporating polyhedral risk measures

نویسندگان

  • Andreas Eichhorn
  • Werner Römisch
چکیده

Optimization A Journal of Mathematical Programming and Operations Research Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713646500 Stability of multistage stochastic programs incorporating polyhedral risk measures Andreas Eichhorn a; Werner Römisch a a Department of Mathematics, Humboldt University Berlin, Berlin, Germany

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Polyhedral Risk Measures in Stochastic Programming

We consider stochastic programs with risk measures in the objective and study stability properties as well as decomposition structures. Thereby we place emphasis on dynamic models, i.e., multistage stochastic programs with multiperiod risk measures. In this context, we define the class of polyhedral risk measures such that stochastic programs with risk measures taken from this class have favora...

متن کامل

Sampling-Based Decomposition Methods for Multistage Stochastic Programs Based on Extended Polyhedral Risk Measures

We define a risk-averse nonanticipative feasible policy for multistage stochastic programs and propose a methodology to implement it. The approach is based on dynamic programming equations written for a risk-averse formulation of the problem. This formulation relies on a new class of multiperiod risk functionals called extended polyhedral risk measures. Dual representations of such risk functio...

متن کامل

Polyhedral Risk Measures and Lagrangian Relaxation in Electricity Portfolio Optimization

We present a multistage stochastic programming model for mean-risk optimization of electricity portfolios containing physical components and energy derivative products. We consider a medium-term time horizon of up to one year. Stochasticity enters the model via the uncertain (time-dependent) prices, electricity demand, and heat demand. The objective is to maximize the expected overall revenue a...

متن کامل

Scenario tree reduction for multistage stochastic programs

A framework for the reduction of scenario trees as inputs of (linear) multistage stochastic programs is provided such that optimal values and approximate solution sets remain close to each other. The argument is based on upper bounds of the Lr -distance and the filtration distance, and on quantitative stability results for multistage stochastic programs. The important difference from scenario r...

متن کامل

SDDP for multistage stochastic linear programs based on spectral risk measures

We consider risk-averse formulations of multistage stochastic linear programs. For these formulations, based on convex combinations of spectral risk measures, risk-averse dynamic programming equations can be written. As a result, the Stochastic Dual Dynamic Programming (SDDP) algorithm can be used to obtain approximations of the corresponding risk-averse recourse functions. This allows us to de...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007