A digraph approach to TQM evaluation of an industry

Different total quality management (TQM) environments may be suggested to an organization for improving the quality of products, customer satisfaction, competitiveness and profitability by TQM experts. This paper identifies factors responsible for the TQM environment. All these factors are interacting with each other by different amounts. An attempt has been made to develop a mathematical model of the TQM environment from these interacting factors using a graph theoretic approach. In the graph theoretic model, a directed graph or digraph is used to represent abstract information of the system using directed edges, which is useful for visual analysis. The matrix model developed from the digraph is useful for computer processing. A permanent value of multinomial developed from the matrix represents the environment uniquely by a single number/index, which is useful for comparison, ranking and optimum selection. The method is quite flexible to accommodate new factors and market dynamics in global business in a bid to go for continuous improvement and breakthrough improvement in the environment, product, process and intellectual property rights (IPR).