To provide students with knowledge on mathematical models applicable to supply chains. To provide students with modeling and software capabilities to apply mathematical models to supply chains.

Introduction to Operations Research Origins of operations research, example applications of mathematical modeling in supply chains, process of applying mathematical models, overview of mathematical model types, overview of software used in mathematical modeling. Mathematical Modeling - Software: Introduce and provide students with base skills to use software to solve mathematical models. The focus is primary on introducing the student to spread sheet modeling, but brief introductions to other modeling and optimization software will be given. Students will apply software modeling skills obtained here to subsequent topics. Linear programming Basic definition of Linear programming, demonstrate method via graphical method, model formulation applications in supply chains. Linear programming solution Simplex method, Artificial starting solution method, interpretation of simplex tableau, sensitivity analysis. Network models Transport model, Assignment model, Shortest Route model, Network Minimisation model, Maximum Flow Model, Transhipment model Integer programming Binary and integer applications in supply chains, solution methods, branch-and-bound, heuristics solution methods, genetic algorithms and simulated annealing. Dynamic Programming Applications in supply chain planning,.

On successful completion of this module students will be able to: Identify the difference between linear and non-linear models and understand where they can be applied. Given a problem description, develop a linear or integer programming models. Apply solution methods for linear, network, dynamic programming and integer-programming models.

N/A

Use of computers.

The module will be delivered using blended learning methods with assignment work.