Businesses have to cut costs, increase revenue and be profitable. The aim of this book is to introduce Management Science to analyse business challenges and to find solutions analytically. Important topics in modelling, optimisation and probability are covered. These include: linear and integer programming, network flows and transportation; essential statistics, queueing systems and inventory models. The overall objectives are: to enable the reader to increase the efficiency and productivity of businesses; to observe and define challenges in a concise, precise and logical manner; to be familiar with a number of classical and state-of-the art operational research techniques and tools; to devise solutions, algorithms and methods that offer competitive advantage to businesses and organisations; and to provide results to management for decision making and implementation. Numerous examples and problems with solutions are given to demonstrate how these concepts can be applied in a business context.