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2009, Volume 5, Issue 3: 629-649. Doi: 10.3934/jimo.2009.5.629
This issue Previous Article Classical duality and existence results for a multi-criteria supply-demand network equilibrium model Next Article A nonlinear Lagrangian method based on Log-Sigmoid function for nonconvex semidefinite programming

A fractional programming model for international facility location

  • 1.

    Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190

  • 2.

    Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong

Received:  June 30, 2008
Revised:  January 31, 2009
Published:  June 2009
Abstract Related Papers Cited by
    Abstract
  • This paper presents a new mixed integer non-linear fractional programming model for multi-commodity, multi-period, budget constrained and capacitated global supply chain design problem. Our model simultaneously optimizes the facility location, capacity acquisition, and production-distribution decisions so as to maximize the profitability of the total investment over a planning horizon. The model is also compared with the profit-maximization model and the cost-minimization model. A branch-and-bound method and a rounding heuristic algorithm are developed to tackle the problem at hand. The computational results of solving 30 instances generated randomly show that our proposed model differs fundamentally from the other models and the rounding heuristic algorithm provides an efficient solution.
    Mathematics Subject Classification: Primary: 90B80; Secondary: 90C11.

    Citation:
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