Automation of optimization of discrete technological processes

Abstract

The article describes the procedure automation of optimization discrete technological processes with using of Bellman’s functional (recurrent) equation and system Mathcad. As rule the technological processes includes n of operations and each operation can be executed by various types of equipment. Expenses (cost, time, …) on execution of i operation by k equipment after execution by j equipment (i-1) operation are known - c (i, j, k). Expenses for execution by k equipment i operation can depend on the equipment - j, which executed previous (i-1) operation. It is necessary to execute automation of optimization technological process with the minimum expenses. The algorithm of the decision of a problem by Bellman’s method includes two phases. The first phase is calculations of the minimum expenses for execution of all partial technological processes, from last operation of process to the first. The second phase is definition of the required optimum set of equipment which is carrying out all technological process with the minimum expenses. The proposed procedure of automation of optimization technological process using Bellman’s method and system Mathcad significantly decreases time and labour costs on execution of such calculations and efficiently to execute investigations related with change of equipment parameters.