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The Linear Dynamic Lot Size Problem with Minimum Order Quantities

Juniorprofessur:

Juniorprofessur in Information & Operations Management

Projekttitel:

The Linear Dynamic Lot Size Problem with Minimum Order Quantities

Projektleitung:

Prof. Dr. Dr. h. c. Knut Richter

Projektart: Lehrstuhlprojekt

Finanzierung: Eigenfinanzierung EUV

Projektbeginn: 01.01.2008

Projektende:    30.06.2011

Projektbeschreibung in englisch:

This paper continues the analysis of a special uncapacitated single item lot sizing problem where a minimum order quantity restriction, instead of the setup cost, guarantees a certain level of production lots. A detailed analysis of the model and an investigation of the particularities of the cumulative demand structure allowed us to develop a solution algorithm based on the concept of minimal sub-problems. We present an optimal solution to a minimal sub-problem in an explicit form and prove that it serves as a construction block for the optimal solution of the initial problem. The computational tests and the comparison with the published algorithm confirm the efficiency of the solution algorithm developed here.

Publikationen:

The linear dynamic lot size problem with minimum order quantities, International Journal of Production Economics 133, 688--693, 2011 (mit K. Richter).

The linear dynamic lot size problem with minimum order quantities, Working Paper 283, European University Viadrina Frankfurt (Oder), 2010, ISSN: 1860 0921 (mit K. Richter).

The single item dynamic lot-sizing problem with minimum lot size restriction, in: B. Fleischmann et al. (eds.) Operations Research Proceedings 2008, Springer, Berlin, 91--96, 2009 (mit K. Richter).

Zum Forschungsbericht der Juniorprofessur