1Industry and Business Management Department The Open University of Kaohsiung Kaohsiung, Taiwan 812, R.O.C.
Received:
May 28, 2004
Accepted:
June 20, 2004
Publication Date:
December 1, 2004
Download Citation:
||https://doi.org/10.6180/jase.2004.7.4.09
ABSTRACT
This paper develops an algorithm for finding an optimal solution of maximizing a linear function over the weakly efficiency set of a multiple objective line program. This optimization problem is solved by solving a bilevel linear program.
Keywords:
Multiple Objective Linear Program (Molp), Bilevel Linear Program, Weak Efficient Solution, Optimal Solution, Optimization, Post Optimality Analysis
REFERENCES
- [1] Bard, J. F., “Coordination of Multidivisional Organization through Two Levels Management,” Omege, Vol. 11, pp. 457 468 (1983).
- [2] Bialas, W. and Karwan, M., “Two-level Linear Programming,” Management Science, Vol. 30, pp. 1004 1020 (1984).
- [3] Lin, C. H., Siddiqui, K. J. and Liu, Y. H., Chapter 20: “Multiple Objective Programming to Analyze and Classify Business Information,” New Frontier of Decision Making for the Information Technology Era, World Scientific Publishing, Singapore (2000).
- [4] Liu, Y. H. and Dauer, J. P., “Bicriteria Programming with Several Applications,” Computer and Industrial Engineering, Vol. 37, pp. 563580 (1999).
- [5] Liu, Y. H. and Siddiqui, K. J., “Using Bicriteria Boolean Linear Programming Model for Parameter Selection in Large Multicategory Classification Problem,” Mathematical and Computer Modeling, Vol. 24, pp. 7581 (1995).
- [6] Luenberger, D. G., Linear and Nonlinear Programming. Addison Wesly, Reading, MA, U.S.A. (1969).
- [7] Rockafellar, R. T., Convex Analysis, Princeton Press, NJ, U.S.A. (1970).
- [8] Stadler, W., Multicriterica Optimization in Engineering and in the Sciences, Plenum Press, NY, U.S.A. (1988).
- [9] Schrage, L., LINDO User Manual, Release 5.0, The Scientific Press, South San Francisco, CA, U.S.A. (1989).
