Parallel branch and bound algorithm with combination of lipschitz bounds over multidimensional simplices for multicore computers

Springer Optimization and Its Applications

Volumn 27, Issue , 2009, Pages 93-102

  Paulavičius, Remigijus ^a,b   Žilinskas, Julius ^b,c  

^a VYTAUTAS MAGNUS UNIVERSITY   (Lithuania)

^b VILNIUS UNIVERSITY   (Lithuania)

^c VILNIUS GEDIMINAS TECHNICAL UNIVERSITY   (Lithuania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84976351575     PISSN: 19316828     EISSN: 19316836     Source Type: Book Series    
DOI: None     Document Type: Chapter

References (8)

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2. Horst, R., Pardalos, P.M., Thoai, N. V.: Introduction to Global Optimization, Nonconvex Optimization and Its Applications, vol. 3. Kluwer Academic Publishers (1995)
3. Jansson, E., Knüppel, O.: A global minimization method: The multi-dimensional case. Tech. rep., TU Hamburg-Harburg (1992)
4. Madsen, K., žihnskas, J.: Testing branch-and-bound methods for global optimization. Tech. Rep. IMM-REP-2000-05, Technical University of Denmark (2000)
5. Paulavičius, R., Žilinskas, J.: Analysis of different norms and corresponding Lipschitz constants for global optimization. Technological and Economic Development of Economy 12(4), 301-306 (2006)
6. Paulavičius, R., Žilinskas, J.: Analysis of different norms and corresponding Lipschitz constants for global optimization in multidimensional case. Information Technology and Control 36(4), 383-387 (2007)
7. Žilinskas, J.: Optimization of Lipschitaan functions by simplex-based branch and bound. Information Technology and Control 14(1), 45-50 (2000)
8. Žilinskas, J.: Branch and bound with simplicial partitions for global optimization. Mathematical Modelling and Analysis 13(1), 145-159 (2008)