An enhanced nested partitions algorithm using solution value prediction

IEEE Transactions on Automation Science and Engineering

Volumn 8, Issue 2, 2011, Pages 412-419

  Chen, Weiwei ^a   Pi, Liang ^b   Shi, Leyuan ^c  

^a GE GLOBAL RESEARCH   (United States)

^b SAC Capital   (United States)

^c Wisconsin Electric Machines and Power Electronics Consortium   (United States)

Author keywords

Lower bound; metaheuristic algorithms; nested partitions; solution value prediction

Indexed keywords

COMPUTATIONAL RESOURCES; COMPUTATIONAL TESTS; FUTURE PERFORMANCE; LARGE-SCALE OPTIMIZATION; LARGE-SCALE PROBLEM; LOWER BOUNDS; META HEURISTIC ALGORITHM; META HEURISTICS; NESTED PARTITIONS; OPTIMIZATION ALGORITHMS; RESEARCH AND APPLICATION; VALUE PREDICTION;

HEURISTIC ALGORITHMS; HEURISTIC METHODS; OPTIMIZATION; PACKET NETWORKS; VALUE ENGINEERING;

FORECASTING;

EID: 79953779815     PISSN: 15455955     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASE.2010.2090655     Document Type: Article

References (23)

1. M. E. Thomas, "A survey of the state of the art in dynamic programming," AIIE Transactions, vol. 8, no. 1, pp. 59-69, 1976.
2. L. A. Wolsey, Integer Programming. New York: Wiley, 1998.
3. Q. Lu and M. Dessouky, "An exact algorithm for the multiple vehicle pickup and delivery problem," Transportation Sci., vol. 38, no. 4, pp. 503-514, 2004.
4. K. Holmberg, M. Ronnqvist, and D. Yuan, "Exact algorithm for the capacitated facility location problems with single sourcing," Eur. J. Oper. Res., vol. 113, no. 3, pp. 544-559, 1999.
5. S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, "Optimization by simulated annealing," Science, vol. 220, no. 4598, pp. 671-680, 1983.
6. D. E. Goldberg, Genetic Algorithm in Search, Optimization and Machine Learning. Reading, MA: Addison-Wesley, 1989.
7. D. Cvijović and J. Klinowski, "Taboo search: An approach to the multiple minima problem," Science, vol. 267, no. 5198, pp. 664-666, 1995.
8. L. Shi and S. Ólafsson, "Nested partitions method for global optimization," Oper. Res., vol. 48, no. 3, pp. 390-407, 2000. (Pubitemid 32415966)
9. D. E. Knuth, "Estimating the efficiency of backtrack programs," Math. Comput., vol. 29, no. 129, pp. 121-136, 1975.
10. N. G. Hall and M. E. Posner, "Performance prediction and preselection for optimization and heuristic solution procedures," Oper. Res., vol. 55, no. 4, pp. 703-716, 2007. (Pubitemid 351159551)
11. G. Cornuejols, M. Karamanov, and Y. Li, "Early estimates of the size of branch-and-bound trees," INFORMS J. Computing, vol. 18, pp. 86-96, 2006. (Pubitemid 43515948)
12. C.-H. Chen, E. Yücesan, L. Dai, and H.-C. Chen, "Optimal budget allocation for discrete-event simulation experiments," IIE Transactions, vol. 42, no. 1, pp. 60-70, 2010.
13. S. Ólafsson and L. Shi, "A method for scheduling in parallel manufacturing systems with flexible resources," IIE Transactions, vol. 32, pp. 135-146, 2000.
14. L. Shi, S. Ólafsson, and Q. Chen, "An optimization framework for product design," Manage. Sci., vol. 47, no. 12, pp. 1681-1692, 2001. (Pubitemid 34126295)
15. L. Shi and S. Men, "Optimal buffer allocation in production lines," IIE Transactions, vol. 35, pp. 1-10, 2003.
16. L. Pi, Y. Pan, and L. Shi, "Hybrid nested partitions and mathematical programming approach and its applications," IEEE Trans. Autom. Sci. Eng., vol. 5, no. 4, pp. 573-586, Oct. 2008.
17. L. Shi, R. R. Meyer, M. Bozbay, and A. J. Miller, "A nested partitions framework for solving large-scale multicommodity facility location problems," J. Syst. Sci. Syst. Eng., vol. 13, no. 2, pp. 158-179, 2004. (Pubitemid 39064477)
18. L. Shi, S. Ólafsson, and N. Sun, "New parallel randomized algorithms for the traveling salesman problem," Comput. Oper. Res., vol. 26, pp. 374-391, 1999.
19. Y. Pan and L. Shi, "On the equivalence of the max-min transportation lower bound and the time-indexed lower bound for single-machine scheduling problems," Math. Program., Series A, vol. 110, no. 3, pp. 543-559, 2006. (Pubitemid 46862320)
20. U. Derigs, "Using confidence limits for the global optimum in combinatorial optimization," Oper. Res., vol. 33, no. 5, pp. 1024-1049, 1985. (Pubitemid 15589838)
21. S. Coles, An Introduction to Statistical Modeling of Extreme Values. New York: Springer, 2001.
22. N. R. Draper and H. Smith, Applied Regression Analysis, ser. Probability and Statistics. New York: Wiley, 1998.
23. G. Reinelt, "TSPLIB - A traveling salesman problem library," ORSA J. Computing, vol. 3, pp. 376-384, 1991.