Some transformation techniques with applications in global optimization

Journal of Global Optimization

Volumn 43, Issue 2-3, 2009, Pages 391-405

  Lundell, Andreas ^a   Westerlund, Joakim ^a   Westerlund, Tapio ^a  

^a ÅBO AKADEMI UNIVERSITY   (Finland)

Author keywords

Global optimization; Mixed integer non linear programming; Signomial functions; Transformation and convexification techniques

Indexed keywords

DYNAMIC PROGRAMMING; FOURIER TRANSFORMS; FUNCTIONS; GLOBAL OPTIMIZATION; LINEAR PROGRAMMING; LINEARIZATION; MATHEMATICAL TRANSFORMATIONS; OPTIMIZATION; PARTICLE SIZE ANALYSIS; PROBABILITY DENSITY FUNCTION;

GLOBAL OPTIMALITY; MIXED INTEGER NON-LINEAR PROGRAMMING; MIXED-INTEGER OPTIMIZATIONS; OPTIMIZATION PROBLEMS; SIGNOMIAL FUNCTIONS; TRANSFORMATION AND CONVEXIFICATION TECHNIQUES; TRANSFORMATION TECHNIQUES;

INTEGER PROGRAMMING;

EID: 59449084808     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-007-9223-4     Document Type: Article

References (11)

1. E.M.L. Beale J.J.H. Forrest 1976 Global optimization using special ordered sets Math. Program. 10 52 69
2. Björk, K.-M.: A global optimization method with some heat exchanger network applications, Ph.D. thesis, Åbo Akademi University (2002)
3. K.-M. Björk P.O. Lindberg T. Westerlund 2003 Some convexifications in global optimization of problems containing signomial terms Comp. Chem. Eng. 27 669 679
4. Lundell, A.: Optimization techniques in global optimization. Master's thesis, Åbo Akademi University (2007)
5. C.D. Maranas C.A. Floudas 1995 Finding all solutions of nonlinearly constrained systems of equations J. Global Optim. 7 143 182
6. C.D. Maranas C.A. Floudas 1997 Global optimization in generalized geometric programming Comp. Chem. Eng. 21 351 370
7. Pörn, R.: Mixed integer non-linear programming: convexification techniques and algorithm development, Ph.D. thesis, Åbo Akademi University (2000)
8. M.J. Rijckaert X.M. Martens 1978 Comparison of generalized geometric programming algorithms J. Optim.Theory Appl. 26 2 205 242
9. Westerlund, T.: Some transformation techniques in global optimization. Global Optimization: From Theory to Implementation. In: Liberti, L., Maculan, N. (eds.), pp. 47-74 Springer (2005)
10. T. Westerlund R. Pörn 2002 Solving pseudo-convex mixed-integer problems by cutting plane techniques Optim. Eng. 3 253 280
11. T. Westerlund J. Westerlund 2003 GGPECP-an algorithm for solving non-convex MINLP problems by cutting plane and transformation techniques Chem. Eng. Trans. 3 1045 1050