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2007, Volume 3, Issue 1: 87-98. Doi: 10.3934/jimo.2007.3.87
This issue Previous Article A bilinear relaxation based algorithm for concave piecewise linear network flow problems Next Article Role of transfer prices in global supply chains with random demands

Capacitated requirements planning with pricing flexibility and general cost and revenue functions

  • 1.

    Department of Industrial and Systems Engineering, University of Florida, Gainesville, Florida 32611

Received:  June 2005
Published:  January 2007
Abstract / Introduction Related Papers Cited by
    Abstract
  • The requirements problem with pricing flexibility generalizes the standard economic lot-sizing problem by recognizing that the demand for a good can often be influenced by adjusting its price level. This naturally leads to a profit maximization model that integrates price setting as well as production and inventory management. In this paper, we consider the NP-hard problem that arises in the presence of general cost functions as well as time-varying production capacities. We study a reformulation of the problem as an economic lot-sizing problem and use this reformulation to derive running times for dynamic programming and approximation algorithms for the requirements planning problem.
    Mathematics Subject Classification: Primary: 90B30; Secondary: 90C.

    Citation:
    shu

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