Two-echelon requirements planning with pricing decisions

Mehmet Önal; H. Edwin Romeijn

doi:10.3934/jimo.2009.5.767

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2009, Volume 5, Issue 4: 767-781. Doi: 10.3934/jimo.2009.5.767

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Two-echelon requirements planning with pricing decisions

Mehmet Önal^1, and
H. Edwin Romeijn^2,

1.
Department of Industrial and Systems Engineering, University of Florida, P.O. Box 116595, Gainesville, Florida 32611-6595
2.
Department of Industrial and Operations Engineering, The University of Michigan, 1205 Beal Avenue, Ann Arbor, Michigan 48109-2117

Received: April 30, 2008

Revised: April 30, 2009

Published: September 2009

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Abstract

We consider a two-level uncapacitated lot-sizing problem where production, inventory carrying, transportation, and pricing decisions are integrated to maximize total profits. We show how this problem, under many different revenue functions and production, inventory holding, and transportation cost structures can be solved in polynomial time. As a byproduct, we develop polynomial-time algorithms for generalizations of single-level lot-sizing problems with pricing as well.

Keywords:

Lot-sizing,
pricing.

Mathematics Subject Classification: Primary: 90B05, 90B06; Secondary: 90C39.

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