Optimization model in the flexible manufacture

Flexible manufacturing shop is examined. Multilevel control system of the shop is built. The demands to the system construction are listed. The existing input information is insufficient for building of the inventory model, for choice and realization of the optimal model of the manufacture. By this reason the situation of the uncertainties is arise. For the purpose to find needed data and to receive necessary knowledge the following intelligence procedures are suggested: ”Pendulum” – for stock foundation and for construction of the inventory model, “Symmetry in the arithmetical progression” – to define the values of the coefficients with unknown quantities in the aim function of the optimal task. With the help of the procedure “Pendulum” the equal corteges of the quantum of time are building. Cortege of the quantum of time is the unit of the stock and the direction for selection of the kind of the optimization model. The optimization model of location is suggested to use. Building of the indicated models (they are small dimension and equal dimension) give the opportunity to organize the parallel calculations.

ELEMENTS OF WAVE THEORY

The first known mathematical solution for finite height, periodic waves of stable form was developed by Gerstner (1802). From equations that were developed, Gerstner (1802) arrived at the conclusion that the surface curve was trochoidal in form. Froude (1862) and Rankine (1863) developed the theory but in the opposite manner, i.e., they started with the assumption of a trochoidal form and then developed their equations from this curve. The theory was developed for waves in water of infinite depth with the orbits of the water particles being circular, decreasing in geometrical progression as the distance below the water surface increased in arithmetical progression. Recent experiments (Wiegel, 1950) have shown that the surface profile, represented by the trochoidal equations (as well as the first few terms of Stokes' theory), closely approximates the actual profiles for waves traveling over a horizontal bottom. However the theory necessitates molecular rotation of the particles, while the manner in which waves are formed by conservative forces necessitates irrotational motion.