Many industries have come up in the 21st century ranging from food and beverage industry, chemical manufacturing industry and even telecommunication industry. As a result of these developments, raw material supplies to facilitate the running of these industries have been a guarantee. Sophisticated analytical, numerical and computational methods have been used to ensure optimum allocation of these supplies. At the same time these methods have been used to control the industrial suppliers,industrial waste and disposal services. The aim of this paper is to highlight some of the computational methods used in industrial suppliers and industrial waste disposal services. This writing will feature the following methods; Queuing theory ,Simulationand Time Series Forecasting.Their relevant applications will also be covered.