Моделирование движения предмета труда по технологическому маршруту в двухкоординатном описании

Abstract

The motion of objects of labor on the production line flow in two-dimensional state space. A metric space is given. Introduced concept events. The statespace interval between events determines the required amount of resources to go to the object of labor from one state to another state. To construct the trajectory of the object of labor in the state space has been used a variational principle. Variational principle allowed to write the Euler equation. For the movement of the subject of work in two-dimensional space of states recorded system of equations. Shows the Euler equations for the trajectory of the object of labor in the multidimensional space of the state. Solved Euler equations for the motion of the subject of work in the two-dimensional space of states. The system of equations allows to obtain the status of the subject of work at a given time. Written solution of uniform intensity of the transfer of technological resources for labor in the transition from one process step to another. When building a model for a party objects of labor restrictions were imposed. These constraints determine the order of processing of objects of labor. The equation of the trajectory of the subject of labor was recorded using the Lagrangian. Lagrangian takes into account constraints. The conclusions about the appropriateness of the models considered in the calculation of the production cycle of a batch of parts on a production line and predicting the use of technology resources required.