**The OPTIMUM SOLUTION is expressly
created and automatically delivered by the program.**** **

**The technology advantages are: **

**1.
****NO Partial, NO Negative Math Solutions**

**2.
****No Endless Guess & Trials **

**3.
****Yes, Effective Solutions ‘Under Pressure’**

** **

**This technology plays the crucial role in highly sensitive and
complex**

** **

**Volumetric With Pores Stone
SKELETON Grading Optimization, Providing Consistently Optimum ’Spatial Packing’**** **

**As a Result **

**User Gains Desired Product Solution and pockets SUBSTANTIAL
SAVINGS.**

**This Above Is THE CORE of the ASPHALT
EXPERT SYSTEM®©**

**In addition to the above in brief described key optimization
technology, we use some other modified technologies such as the one derivation from a**** **

**Sequential Unconstrained Minimization Technique Which Uses Mixed
Penalty Function**

Constrained nonlinear
optimization problems are composed of a nonlinear objective function and may be
subject to linear and nonlinear constraints. The **ASPHALT EXPERT SYSTEM®©** uses several brand new, modified, and derived methods to solve
these problems. Some of them are based on the following known methods**: trust-region
and active set sequential quadratic programming. **

**Trust-region**is used for bound constrained problems or linear equalities only.**Active set sequential quadratic programming****is used for general nonlinear optimization.**

**ASPHALT EXPERT SYSTEM®©** has
various unique ‘built-in’ optimization technologies that represent a
significant departures from three well-known methods for solving nonlinear
least squares problems: **Trust-region, Levenberg-Marquardt,
and Gauss-Newton **in order to solve nonlinear least squares problems, data
fitting problems, and systems of nonlinear equations.

·
**Trust-region** is used for bound
constrained problems.

·
**Levenberg****-Marquardt** is a line search method
whose search direction is a cross between the Gauss-Newton and steepest descent
directions.

·
**Gauss-Newton** is a line search method
that chooses a search direction based on the solution to a linear least-squares
problem.

**ASPHALT EXPERT SYSTEM®©** also includes a specialized interface for
data-fitting problems to find the member of a family of nonlinear functions
that best fits a set of data points. **ASPHALT EXPERT
SYSTEM®©** uses the same methods
for data-fitting problems as it uses for nonlinear least-squares problems.