By Lahbib Chibani
ISBN-10: 3540515399
ISBN-13: 9783540515395
ISBN-10: 3642838901
ISBN-13: 9783642838903
This publication provides the built-in method of research and optimum layout of constructions. This process, that is more straightforward than the so-called nested procedure, has the trouble of producing a wide optimization challenge. to beat this challenge a strategy of decomposition by means of multilevel is constructed. this method, that is additionally compatible for implementation on parallel processing desktops, has the good thing about decreasing the scale of the optimization challenge generated. The geometric programming for either equality and inequality constraints is utilized in the optimization.
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Additional resources for Optimum Design of Structures: With Special Reference to Alternative Loads Using Geometric Programming
Sample text
The subproblems receive a set of parameters (simplex multipliers or prices) from the master program. Then, they send their solutions to the master program, which combines these with previous solutions in an 43 optimal way and computes new prices. These are sent to the subproblems, and iteration proceeds until an optimality test is achieved. The procedure has an elegant economic interpretation, in which the master coordinates the actions of subproblems by setting prices on the common resources, and adding these resources to the objective function of each subproblem.
3. 0 ..... - 8ub8YBtem 1 n+1 C_,_+1 Fig. 3 System Partition by Goal Coordination Let G. be the vector of these variables associated with the n'· subsystem. 4) is additively separable. 35) n-l In order to ensure that the independent subsystem problems yield overall system optimality, it is necessary to have the interaction-balance principle satisfied at the optimum, namely that, 52 n=I,2, ... 41) 53 D{; ::; Dn ::; D:! 44) where the goals of the subsystems have been modified in that the coordinating variabies>.
2 Interactive Generalized Geometric Programming Solver (IGGP) A computer program making use of the preceding algorithm was developed in the Civil Engineering Systems Laboratory, Burns (1982). The program requires the the constraints to be entered in explicit form. The variables are stored in an array VAR that also provide the lower, upper, and previous operating point and name of each variable. The information about each constraint is stored in an array peON which includes the number of variables appearing in the constraints, the largest variable index in constraint, the name of the constraints and pointers to a pool array GS, where 39 the constrain t terms and variables are stored.
Optimum Design of Structures: With Special Reference to Alternative Loads Using Geometric Programming by Lahbib Chibani
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