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An optimal production flow control problem with impulsive demand
Mälardalen University, School of Innovation, Design and Engineering. The Royal Institute of Technology, Stockholm.ORCID iD: 0000-0001-7935-8811
University of Florida, US.
University of Florida, US.
1997 (English)In: Mathematical and Computer Modelling, ISSN 0895-7177, Vol. 26, no 2, p. 53-67Article in journal (Refereed) Published
Abstract [en]

We consider a system consisting of a single machine cell and producing one part type. The machine cell has a finite capacity and is reliable. We consider a finite planning horizon containing N impulsive demands. The demand occurs instantaneously. Each such demand is known by its size and when it occurs in the planning horizon. In order to keep the production as close to the demand as possible there is a trade off between building up inventory and letting customers wait. An optimal control problem is formulated to determine the optimal production strategy. Solution technique is developed via Pontryagin's Minimum Principle.

Place, publisher, year, edition, pages
1997. Vol. 26, no 2, p. 53-67
National Category
Production Engineering, Human Work Science and Ergonomics
Identifiers
URN: urn:nbn:se:mdh:diva-8973DOI: 10.1016/S0895-7177(97)00122-2ISI: A1997XZ15600004Scopus ID: 2-s2.0-0031193650OAI: oai:DiVA.org:mdh-8973DiVA, id: diva2:301535
Available from: 2010-03-03 Created: 2010-03-03 Last updated: 2015-07-02Bibliographically approved

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Wiktorsson, Magnus

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