Mathematical Models for Planning Support

31 Pages Posted: 30 May 2003

See all articles by L. G. Kroon

L. G. Kroon

Erasmus University Rotterdam (EUR) - Department of Technology and Operations Management; Erasmus Research Institute of Management (ERIM); NS Reizigers - Department of Logistics

Rob Zuidwijk

Erasmus University Rotterdam (EUR) - Rotterdam School of Management (RSM); Erasmus Research Institute of Management (ERIM)

Date Written: 30 2003 4,

Abstract

In this paper we describe how computer systems can provide planners with active planning support, when these planners are carrying out their daily planning activities. This means that computer systems actively participate in the planning process by automatically generating plans or partial plans. Active planning support by computer systems requires the application of mathematical models and solution techniques. In this paper we describe the modeling process in general terms, as well as several modeling and solution techniques. We also present some background information on computational complexity theory, since most practical planning problems are hard to solve. We also describe how several objective functions can be handled, since it is rare that solutions can be evaluated by just one single objective. Furthermore, we give an introduction into the use of mathematical modeling systems, which are useful tools in a modeling context, especially during the development phases of a mathematical model. We finish the paper with a real life example related to the planning process of the rolling stock circulation of a railway operator.

Keywords: Planning, planning support, mathematical models, optimization, modeling process

JEL Classification: M, M11, R4, C59

Suggested Citation

Kroon, Leo and Zuidwijk, Rob A., Mathematical Models for Planning Support (30 2003 4,). Available at SSRN: https://ssrn.com/abstract=411673

Leo Kroon (Contact Author)

Erasmus University Rotterdam (EUR) - Department of Technology and Operations Management ( email )

RSM Erasmus University
PO Box 1738
3000 DR Rotterdam
Netherlands
+31 0 10 408 1957 (Phone)
+31 0 10 408 9010 (Fax)

HOME PAGE: http://web.eur.nl/fbk/dep/dep1/Introduction/Staff/People/Kroon

Erasmus Research Institute of Management (ERIM)

P.O. Box 1738
3000 DR Rotterdam
Netherlands

NS Reizigers - Department of Logistics

3500 HA Utrecht
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Rob A. Zuidwijk

Erasmus University Rotterdam (EUR) - Rotterdam School of Management (RSM) ( email )

P.O. Box 1738
Room T08-21
3000 DR Rotterdam, 3000 DR
Netherlands

Erasmus Research Institute of Management (ERIM)

P.O. Box 1738
3000 DR Rotterdam
Netherlands

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