A robust optimization model for a cross-border logistics problem with fleet composition in an uncertain environment

Mathematical and Computer Modelling

Volumn 36, Issue 11-13, 2002, Pages 1221-1234

  Leung, S C H ^a   Wu, Yue ^a   Lai, K K ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Fleet composition; Logistics; Robust optimization; Transportation problem

Indexed keywords

EID: 0037032867     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(02)00271-6     Document Type: Article

References (16)

1. G.B. Dantzig, Linear programming under uncertainty, Management Science 1, 197-206 (1955).
2. H.J. Zimmermann, Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and System 1, 45-55 (1978).
3. D. Charnes and W.W. Cooper, Chance-constrained programming, Management Science 5, 197-207 (1959).
4. J.M. Mulvey, R.J. Vanderbei and S.A. Zenios, Robust optimization of large-scale systems, Operations Research 43 (2), 264-281 (1995).
5. J.M. Mulvey and A. Ruszczynski, A new scenario decomposition method for large-scale stochastic optimization, Operations Research 43 (3), 477-490 (1995).
6. D. Bai, T. Carpenter and J. Mulvey, Making a case for robust optimization models, Management Science 43 (7), 895-907 (1997).
7. H. Vladimirou and S.A. Zenios, Stochastic linear programs with restricted recourse, European Journal of Operational Research 101 (1), 177-192 (1997).
8. J. Darlington, C.C. Pantelides, B. Rustem and B.A. Tanyi, An algorithm for constrained nonlinear optimization under uncertainty, Automatica 35 (2), 217-228 (1999).
9. M. Inuiguchi and M. Sakawa, Robust optimization under softness in a fuzzy linear programming problem. International Journal of Approximate Reasoning 18 (1), 21-34 (1998).
10. C. Vassiadou-Zeniou and S.A. Zenios, Robust optimization models for managing callable bond portfolios, European Journal of Operational Research 91 (2), 264-273 (1996).
11. G.J. Gutierrez, P. Kouvelis and A.A. Kurawarwala, A robustness approach to uncapacitated network design problems, European Journal of Operational Research 94 (2), 362-376 (1996).
12. G. Yu, Robust economic order quantity models, European Journal of Operational Research 100 (3), 482-493 (1997).
13. G.L. Vairaktarakis, Robust multi-item newsboy models with a budget constraint, International Journal of Production Economics 66 (3), 213-226 (2000).
14. C.S. Yu and H.L. Li, A robust optimization model for stochastic logistic problems, International Journal of Production Economics 64, 385-397 (2000).
15. R.K.M. Cheung and W.B. Powell, Models and algorithms for distribution problems with uncertain demands, Transportation Science 30 (1), 43-59 (1996).
16. H.L. Li, An efficient method for solving linear goal programming problems, Journal of Optimization Theory and Applications 90 (2), 465-469 (1996).