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Production planning, activity periods and passivity periods
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
2015 (English)Report (Other academic)
Abstract [en]

Consider a company which produces and sells a certain product on a market with highly variable demand. Since the demand is very high during some periods, the company will produce and create a stock in advance before these periods. On the other hand it costs money to hold a big stock, so that some balance is needed for optimum. The demand is assumed to be known in advance with sufficient accuracy. We use a technique from optimal control theory for the analysis, which leads to so-called activity periods. During such a period the stock is positive and the production is maximal, provided that the problem starts with zero stock, which is the usual case. Over a period of one or more years, there will be a few activity periods. Outside these periods the stock is zero and the policy is to choose production = the smaller of [demand, maximal production]. The “intrinsic time length” is a central concept. It is simply the maximal time a unit of the product can be stored before selling without creating a loss.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2015. , 34 p.
Series
Linköping Studies in Economics, ISSN 1652-8166 ; 2015:3
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-123048OAI: oai:DiVA.org:liu-123048DiVA: diva2:876334
Available from: 2015-12-03 Created: 2015-12-03 Last updated: 2015-12-03Bibliographically approved

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Aronsson, Gunnar
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf