A simplex-based approach to a class of problems associated with truss design

Engineering Optimization

Volumn 28, Issue 1-2, 1997, Pages 127-156

  Boffey, T B ^a   Yates, D F ^b  

^a Dept of Stat and Compl Math ^*

^b UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Discrete variables; Duality; Lagrangian relaxation; Simplex; Structural optimization

Indexed keywords

COMPUTATIONAL METHODS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; NONLINEAR PROGRAMMING; PROBLEM SOLVING; STRUCTURAL DESIGN;

SIMPLEX-BASED METHOD;

TRUSSES;

EID: 0030687127     PISSN: 0305215X     EISSN: None     Source Type: Journal    
DOI: 10.1080/03052159708941129     Document Type: Article

References (6)

1. Yates, D. F., Templeman, A. B. and Boffey, T. B. (1983). A heuristic method for the design of minimum weight trusses with discrete member sizes. Computer Methods in Applied Mechanics and Engineering, 37, 37-55.
2. Jonsson, O. and Larsson, T. (1995). Lagrangean relaxation and subgradient optimization applied to optimal design with discrete sizes. Engineering Optimization., 16, 221-233.
3. Nemhauser, G. L. and Wolsey, L. A. (1988). Integer and Combinatorial Optimization, Wiley, New York.
4. Dantzig, G. (1963). Linear Programming and Extensions, Princeton University Press, Princeton, New Jersey.
5. 1 linear approximation with linear constraints, SIAM Journal of Numerical Analysis, 15, 603-611.
6. Boffey, T. B. (1992). Distributed Computing: Associated Combinatorial Problems, Blackwell Scientific Publications, Oxford.