Teaching Responsibility
LJMU Schools involved in Delivery:
Computer Science and Mathematics
Learning Methods
Lecture
Practical
Tutorial
Module Offerings
6101MATHS-JAN-CTY
Aims
To examine a wide range of operational research methods and their applicability to real-life problems encountered in business and industry.
Learning Outcomes
1.
Apply operations research methods for solution of practical problems.
2.
Express operational research analyses in the vernacular (for non-experts).
3.
Formulate and solve problems involving operational research.
Module Content
Outline Syllabus:Linear programming: definition of a linear programming problem, graphical representation, the Simplex method and revised Simplex method, sensitivity analysis.
Transportation problems: transportation algorithm, unequal supply and demand, optimal sourcing problems, trans-shipment problems.
Assignment problems: maximisation of resources.
Integer programming: relevance of integer variables, Branch & Bound method, Gomory's method of Cutting Planes.
Non-linear programming: non-linearity of objective and constraint functions, method of steepest ascent.
Simulation: basic principles, examples taken from investment appraisal, Queuing Theory and traffic management.
Queuing Theory: single server and multiple server models, Little's formula, Pollaczek-Khintchine formula.
Inventory models: Deterministic and Stochastic Inventory models.
Critical Path Analysis: the method and its use in the management of problems, PERT, Crashing Networks, Gantt Charts.
Heuristic methods: Scheduling problems, Heuristic Thinking.
Software packages: Review of available software, practice in the use of one such package to solve more realistic real-life problems.
Module Overview:
The aim of this module is to examine a wide range of operational research methods and your applicability to real-life problems encountered in business and industry.
The aim of this module is to examine a wide range of operational research methods and your applicability to real-life problems encountered in business and industry.
Additional Information:Procedures for formulating and solving mathematical programming problems which have business applications are presented.