Sensitivity Analysis Procedures for Geometric Programs: Computational Aspects

1978 ◽  
Vol 4 (1) ◽  
pp. 1-14 ◽  
Author(s):  
J. J. Dinkel ◽  
Mary S. Kochenberger ◽  
S. N. Wong
Keyword(s):  
Sensitivity Analysis ◽  
Geometric Programs ◽  
Computational Aspects

Entropy Maximization and Geometric Programming

1977 ◽  
Vol 9 (4) ◽  
pp. 419-427 ◽  
Author(s):  
J J Dinkel ◽  
G A Kochenberger ◽  
S-N Wong
Keyword(s):  
Sensitivity Analysis ◽  
Convex Function ◽  
Geometric Programming ◽  
Optimal Solution ◽  
Entropy Model ◽  
Entropy Maximization ◽  
Geometric Programs ◽  
Geometric Program

This paper shows the equivalence of entropy-maximization models to geometric programs. As a result we derive a dual geometric program which consists of the minimization of an unconstrained convex function. We develop the necessary duality equivalencies between the two dual programs and show the computational attractiveness of our approach. We also develop some characterizations of the optimal solution of the entropy model which have important implications with regard to postoptimal or sensitivity analysis.

A Fuzzy Kinetostatic Analysis of Imprecisely-Defined Mechanisms

1998 ◽  
Vol 120 (3) ◽  
pp. 377-380 ◽  
Author(s):  
L. Chen ◽  
S. S. Rao ◽  
K. Ku
Keyword(s):  
Sensitivity Analysis ◽  
System Performance ◽  
Entire Range ◽  
High Speed ◽  
Path Generation ◽  
Preliminary Design ◽  
Design Phase ◽  
Engineering Systems ◽  
Computational Aspects ◽  
Driving Torque

Many engineering systems are ill-defined and imprecisely known, due to fuzziness, especially in the conceptual/preliminary design phase. In this work, a fuzzy kinetostatic methodology is proposed for the dynamic analysis of mechanisms involving imprecision. The fuzzy dynamic bearing reactions as well as driving torque are computed using the proposed method. The analysis of a high-speed planar mechanism for path generation is considered to illustrate the computational aspects of the approach. The fuzzy analysis provides the variation of system performance over the entire range of design parameter space compared to the traditional sensitivity analysis approaches which give variations in system performance only at one design point.

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