Establishment of Linear Sequences

Study of Production System (1st Report)

Abstract

The paper deals with the sequencing problem as an initial step to study of production system. Sequence may be classified roughly into linear sequence and compound sequence. This report describes the systematical method for establishing linear sequences.
The points to analyze this problem are as follows;
(1) The representative method of precedence relations.
(2) The systematical method of establishing linear sequences.
(3) The total number of feasible linear sequences.
For these purposes, the fundamental matrix which makes precedence diagram into the form available to theoretical analysis, sequential product as the operetional method by which precedence relations can be handled rationally, and then the linear product by which all of the feasible sequences can be established without overlapping, have been introduced. In the final analysis, sequences are established easily, systematically and very mechanically by linear product.