To main content

Solving Hierarchical Stochastic Programs: Application to the Maritime Fleet Renewal Problem

Abstract

This paper presents a solution scheme for a class of multistage stochastic programs (possibly mixed-integer at all stages) in which a hierarchy of decisions emerges. A special structure, common to many strategic problems affected by uncertainty, allows decomposing the problem into a master problem and many independent linear programming subproblems, facilitating the isolation and reduction of the complicating mixed-integer component of the problem. Specialized (possibly heuristic) procedures can be used for solving the master problem while subproblems can be efficiently solved to optimality. We adapt and test the decomposition scheme for a case of the maritime fleet renewal problem, whose real life instances cannot be solved by means of commercial off-the-shelf solvers.

Category

Academic article

Language

English

Author(s)

  • Giovanni Pantuso
  • Kjetil Fagerholt
  • Stein Wallace

Affiliation

  • Norwegian University of Science and Technology
  • Technical University of Denmark
  • SINTEF Ocean / Energi og transport
  • Norwegian School of Economics

Date

28.10.2014

Year

2015

Published in

INFORMS journal on computing

ISSN

1091-9856

Volume

27

Issue

1

Page(s)

89 - 102

View this publication at Cristin