Multistage Stochastic Linear Programming: Aggregation, Approximation, and Some Open Problems∗

نویسندگان

  • Peter Fúsek
  • Peter Kall
  • János Mayer
  • Suvrajeet Sen
  • Simon Siegrist
چکیده

The purpose of this paper is to investigate the possiblility to approximate computationally multistage stochastic linear programs with arbitrary underlying probability distributions by those with finite discrete probability distributions—to begin with, just for the special case of only the right-hand-side being random.

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

An Effective Cost Lower Bound for Multistage Stochastic Linear Programming

Multistage Stochastic Linear Programming (SLP) suffers from scenario explosion as the number of stages or the number of stochastic parameters increases. In this case, either one solves the SLP model approximately or one solves an approximation to the SLP model. In this situation it is useful to have some cost bound in order to assess the quality of approximated solutions. In this paper we intro...

متن کامل

Nested Decomposition of Multistage Stochastic Integer Programs with Binary State Variables

Multistage stochastic integer programming (MSIP) combines the difficulty of uncertainty, dynamics, and non-convexity, and constitutes a class of extremely challenging problems. A common formulation for these problems is a dynamic programming formulation involving nested cost-to-go functions. In the linear setting, the cost-to-go functions are convex polyhedral, and decomposition algorithms, suc...

متن کامل

Approximation to Multistage Stochastic Optimization in Multiperiod Batch Plant Scheduling under Demand Uncertainty

Abstract We consider the problem of scheduling under demand uncertainty a multiproduct batch plant represented through the State Task Network. Given a scheduling horizon consisting of several time-periods in which product demands are placed, the objective is to select a schedule that maximizes the expected profit. We present a multistage stochastic Mixed Integer Linear Programming (MILP) model,...

متن کامل

Analysis of stochastic dual dynamic programming method

In this paper we discuss statistical properties and rates of convergence of the Stochastic Dual Dynamic Programming (SDDP) method applied to multistage linear stochastic programming problems. We assume that the underline data process is stagewise independent and consider the framework where at first a random sample from the original (true) distribution is generated and consequently the SDDP alg...

متن کامل

Node Aggregation in Stochastic Nested Benders Decomposition Applied to Hydrothermal Coordination

This paper presents a multistage stochastic linear programming problem solved by a stochastic nested Benders decomposition algorithm. The algorithm allows the node aggregation and division of the scenario tree into connected subtrees forming arbitrary subproblems that will be solved as the algorithm proceeds. Different aggregation strategies have been tested and numerical results of the applica...

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 2002