scholarly journals OPTIMIZATION OF TRUSS HEIGHT

2010 ◽  
Vol 2 (6) ◽  
pp. 56-60 ◽  
Author(s):  
Tomas Ulitinas ◽  
Stanislovas Kalanta
Keyword(s):  
Mathematical Model ◽  
Mathematical Programming ◽  
Programming Problem ◽  
Cross Sections ◽  
Software Package ◽  
Iterative Process ◽  
Mathematical Programming Problem ◽  
Mathematical Software ◽  
Nonlinear Mathematical Programming ◽  
The Cross

The article analyzes the task in truss height and in the optimization of the cross-sections of their elements. Element cross-sections are designed of steel profiles considering requirements for strength, stability and rigidity. A mathematical model is formulated as a nonlinear mathematical programming problem. It is solved as an iterative process, using mathematical software package “MATLAB” routine “fmincon”. The ratio of buckling is corrected in the each iteration. Optimization results are compared with those obtained applying software package “Robot Millennium”.

scholarly journals MULTI-OBJECTIVE PROBABILISTIC FRACTIONAL PROGRAMMING PROBLEM INVOLVING TWO PARAMETERS CAUCHY DISTRIBUTION

2019 ◽  
Vol 24 (3) ◽  
pp. 385-403
Author(s):  
Srikumar Acharya ◽  
Berhanu Belay ◽  
Rajashree Mishra
Keyword(s):  
Mathematical Model ◽  
Mathematical Programming ◽  
Programming Problem ◽  
Fractional Programming ◽  
Cauchy Distribution ◽  
Solution Procedure ◽  
Mathematical Programming Problem ◽  
Multi Objective ◽  
Fractional Programming Problem ◽  
Two Parameters

The paper presents the solution methodology of a multi-objective probabilistic fractional programming problem, where the parameters of the right hand side constraints follow Cauchy distribution. The proposed mathematical model can not be solved directly. The solution procedure is completed in three steps. In first step, multi-objective probabilistic fractional programming problem is converted to deterministic multi-objective fractional mathematical programming problem. In the second step, it is converted to its equivalent multi-objective mathematical programming problem. Finally, ε -constraint method is applied to find the best compromise solution. A numerical example and application are presented to demonstrate the procedure of proposed mathematical model.

scholarly journals Optimum design of concrete structures

1984 ◽  
Vol 6 (3) ◽  
pp. 22-26
Author(s):  
Bui Nguyen Nhac
Keyword(s):  
Mathematical Programming ◽  
Programming Problem ◽  
Optimum Design ◽  
Concrete Structures ◽  
Design Methods ◽  
Mathematical Programming Problem ◽  
Nonlinear Mathematical Programming

One of the optimum design methods, concerned with the concrete structures, has just been presented. In order to obtain the optimum design, the solution of nonlinear mathematical programming problem has to be worked out. The amplification of the method was illustrated by a practical example.

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