Browse > Article

Solving Robust EOQ Model Using Genetic Algorithm  

Lim, Sung-Mook (School of Business Administration, Korea University)
Publication Information
Management Science and Financial Engineering / v.13, no.1, 2007 , pp. 35-53 More about this Journal
Abstract
We consider a(worst-case) robust optimization version of the Economic Order Quantity(EOQ) model. Order setup costs and inventory carrying costs are assumed to have uncertainty in their values, and the uncertainty description of the two parameters is supposed to be given by an ellipsoidal representation. A genetic algorithm combined with Monte Carlo simulation is proposed to approximate the ellipsoidal representation. The objective function of the model under ellipsoidal uncertainty description is derived, and the resulting problem is solved by another genetic algorithm. Computational test results are presented to show the performance of the proposed method.
Keywords
EOQ Model; Uncertainty; Robust Optimization; Genetic Algorithm; Monte Carlo Simulation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Goldberg, D. E., Genetic Algorithms in Search, Optimization and Machine Learning, Addison Wesley Publishing Company, 1989
2 The MathWorks, Inc., MATLAB (software package), http://www.mathworks.com, 2004
3 Lowe, T. J. and L. B. Schwartz, 'Parameter Estimation for the EOQ Lot-Size Model: Minimax and Expected Value Choices,' Naval Research Logistics Quaterly 30 (1983), 367-376   DOI
4 Ben-Tal, A. and A. Nemirovski, 'Robust Solutions of Uncertain Linear Programs,' Oper. Res. Lett. 25 (1999), 1-13   DOI   ScienceOn
5 Boyd, S. and L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004
6 Gallagher, K. and M. Sambridge, 'Genetic Algorithms: A Powerful Tool for Large-scale Nonlinear Optimization Problems,' Computers and Geosciences 20 (1994), 1229-1236   DOI   ScienceOn
7 Keane, A. J., 'Genetic Algorithm Optimization of Multi-peak Problems: Studies in Convergence and Robustness,' Artificial Intelligence in Engineering 9, 2 (1995), 75-83   DOI   ScienceOn
8 Ben-Tal, A. and A. Nemirovski, 'Robust Convex Optimization,' Mathematics of Operations Research 23, 4 (1998), 769-805   DOI   ScienceOn
9 The Department of Automatic Control and Systems Engineering, The University of Sheffield, Genetic Algorithm Toolbox for Use with MATLAB ver 1.2 User's Guide, 1994