EDP Sciences Journals List
Home Document
Subscriber Authentication Point
Issue RAIRO Oper. Res.
Volume 36, Number 3, July-September 2002
Page(s) 175 - 190
DOI 10.1051/ro:2003001

RAIRO Oper. Res. 36 (2002) 175-190
DOI: 10.1051/ro:2003001

A Dimension-Reduction Algorithm for Multi-Stage Decision Problems with Returns in a Partially Ordered Set

Teodros Getachew1 and Michael M. Kostreva2

1  Department of Management, Providence College, Providence, RI 02918-0001, U.S.A.
2  Department of Mathematical Sciences, Clemson University, Clemson, SC 29634-1907, U.S.A.

(Received December, 2000.)

Abstract
In this paper a two-stage algorithm for finding non- dominated subsets of partially ordered sets is established. A connection is then made with dimension reduction in time-dependent dynamic programming via the notion of a bounding label, a function that bounds the state-transition cost functions. In this context, the computational burden is partitioned between a time-independent dynamic programming step carried out on the bounding label and a direct evaluation carried out on a subset of "real" valued decisions. A computational application to time-dependent fuzzy dynamic programming is presented.


Key words: Multi-criteria optimization, time-variant networks dimension reduction.


© EDP Sciences 2002


What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.