Arbeitspapier

A Dynamic Lot-Sizing Model with Demand Time Windows

One of the basic assumptions of the classical dynamic lot-sizing model is that theaggregate demand of a given period must be satisfied in that period. Under thisassumption, if backlogging is not allowed then the demand of a given period cannotbe delivered earlier or later than the period. If backlogging is allowed, the demandof a given period cannot be delivered earlier than the period, but can be deliveredlater at the expense of a backordering cost. Like most mathematical models, theclassical dynamic lot-sizing model is a simplified paraphrase of what might actuallyhappen in real life. In most real life applications, the customer offers a graceperiod - we call it a demand time window - during which a particular demand can besatisfied with no penalty. That is, in association with each demand, the customerspecifies an earliest and a latest delivery time. The time interval characterizedby the earliest and latest delivery dates of a demand represents the correspondingtime window.This paper studies the dynamic lot-sizing problem with demand time windows andprovides polynomial time algorithms for computing its solution. If shortages arenot allowed, the complexity of the proposed algorithm is order T square. Whenbacklogging is allowed, the complexity of the proposed algorithm is order T cube.

Sprache
Englisch

Erschienen in
Series: Tinbergen Institute Discussion Paper ; No. 99-095/4

Klassifikation
Wirtschaft
Thema
lot-sizing
dynamic programming
time windows
Losgröße
Auftrag
Produktionssteuerung
Theorie

Ereignis
Geistige Schöpfung
(wer)
Lee, Chung-Yee
Çetinkaya, Sila
Wagelmans, Albert P.M.
Ereignis
Veröffentlichung
(wer)
Tinbergen Institute
(wo)
Amsterdam and Rotterdam
(wann)
1999

Handle
Letzte Aktualisierung
10.03.2025, 11:45 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Lee, Chung-Yee
  • Çetinkaya, Sila
  • Wagelmans, Albert P.M.
  • Tinbergen Institute

Entstanden

  • 1999

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