Parallel decomposition of multistage stochastic programming problems

A Ruszczyński - Mathematical programming, 1993 - Springer
A new decomposition method for multistage stochastic linear programming problems is
proposed. A multistage stochastic problem is represented in a tree-like form and with each …

Staircase matrices and systems

R Fourer - SIAM review, 1984 - SIAM
Difference equations, spline approximations and multiperiod linear programs all give rise to
linear equation systems that have a characteristic staircase structure. A staircase system's …

[PDF][PDF] Linear programming and related approaches in forest planning

O Garcia - New Zealand Journal of Forestry Science, 1990 - Citeseer
ABSTRACT A number of approaches to forest management planning are surveyed and
analysed. A unified treatment of the various models and optimisation techniques is …

Solving staircase linear programs by the simplex method, 1: Inversion

R Fourer - Mathematical Programming, 1982 - Springer
This and a companion paper consider how current implementations of the simplex method
may be adapted to better solve linear programs that have a staged, or 'staircase', structure …

[图书][B] Dual nested decomposition of staircase linear programs

RJ Wittrock - 1985 - Springer
A staircase linear program is a linear program in which the variables can be partitioned into
a set of time periods, with constraints relating only variables in adjacent periods. This paper …

A forward simplex method for staircase linear programs

JE Aronson, TE Morton… - Management Science, 1985 - pubsonline.informs.org
Modelling planning problems that extend over many time periods as linear programs leads
to a special structure called a “staircase” or “dynamic” linear program. In this special …

Convex infinite horizon programs

R Grinold - Mathematical Programming, 1983 - Springer
We establish conditions under which a sequence of finite horizon convex programs
monotonically increases in value to the value of the infinite program; a subsequence of …

Nested-decomposition approach for solving staircase linear programs

PG Abrahamson - 1983 - osti.gov
The Nested Decomposition Principle of Manne and Ho is applied to the dual of a T-period
staircase linear program, generating a sequence of one-period problems. These problems …

Parallel decomposition of multistage stochastic programming problems

A Ruszczynski - 1988 - pure.iiasa.ac.at
A new decomposition method for multistage stochastic linear programming problems is
proposed by the author. The method combines the ideas of the regularized decomposition …

A dynamic linear-programming approach to the planning of national settlement systems

A Propoi, F Willekens - Environment and Planning A, 1978 - journals.sagepub.com
In this paper the problem of planning human-settlement systems (HSS) is formulated in a
dynamic linear-programming (DLP) framework. Such large time-dependent problems are …