Simulated Entropy and Global Minimization

نویسندگان

  • A. M. Sultan
  • A. B. Templeman
چکیده

ABSTRACT: Non-linear programming deals with the problem of optimizing an objective function in the presence of equality and inequality constraints. Most of the classical deterministic methods encounter two major problems: (i) the solution obtained is heavily dependent on the starting solution: and (ii) the methods often converge to inferior local optima. This paper examines the relationship between simulated annealing and Shannon’s entropy with respect to minimization, which introduces for a new subject called simulated entropy (SE). As a consequence, two SE techniques are derived which provide a simple means of seeking the global minimum of constrained minimization problems.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Comparison of entropy generation minimization principle and entransy theory in optimal design of thermal systems

In this study, the relationship among the concepts of entropy generation rate, entransy theory, and generalized thermal resistance to the optimal design of thermal systems is discussed. The equations of entropy and entransy rates are compared and their implications for optimization of conductive heat transfer are analyzed. The theoretical analyses show that based on entropy generation minimizat...

متن کامل

Optimization of Double Pipe Fin-pin Heat Exchanger Using Entropy Generation Minimization

In the current work optimization of double pipe fin-pin heat exchanger has been studied. The effective parameters those are controlling the heat exchanger performance are divided in two categories; geometrical and operating conditions. Using the Brent’s optimization algorithm and handling the thermodynamically design concept, one can minimize entropy generation in different length of heat excha...

متن کامل

Fuzzy c-Means Clustering, Entropy Maximization, and Deterministic and Simulated Annealing

Many engineering problems can be formulated as optimization problems, and the deterministic annealing (DA) method [20] is known as an effective optimization method for such problems. DA is a deterministic variant of simulated annealing (SA) [1, 10]. The DA characterizes the minimization problem of cost functions as the minimization of Helmholtz free energywhich depends on a (pseudo) temperature...

متن کامل

An error-entropy minimization algorithm for supervised training of nonlinear adaptive systems

This paper investigates error-entropy-minimization in adaptive systems training. We prove the equivalence between minimization of error’s Renyi entropy of order and minimization of a Csiszar distance measure between the densities of desired and system outputs. A nonparametric estimator for Renyi’s entropy is presented, and it is shown that the global minimum of this estimator is the same as the...

متن کامل

Comparison of Entropy and Mean Square Error Criteria in Adaptive System Training Using Higher Order Statistics

The error-entropy-minimization approach in adaptive system training is addressed in this paper. The effect of Parzen windowing on the location of the global minimum of entropy has been investigated. An analytical proof that shows the global minimum of the entropy is a local minimum, possibly the global minimum, of the nonparametrically estimated entropy using Parzen windowing with Gaussian kern...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005