Operations Research

Programme Director : Dr H. Chittoo

Programme Coordinator : Mr. K. Padachi

Module Coordinator :

Module Convener : Mr K. Lobine

Office :

E-mail address : klobine09@yahoo.com

Credits & Level : 10 credits, Semester 1

Method of Delivery : 12 weeks: 12 x 2 hours sessions of lecture;

& frequency of class : 12 x 1 hour self learning; group work & class test.

Common MailAddress : mbageneral2010@yahoo.com

Password : Operations

Method and Criteria : 50 % 3– hours Exams.

Assignment : 2 Assignments – 1st individual - 10 % marks 2nd individual – 15 % marks Class test – 25% marks

Module Aims : The aim of this module is to provide students with an understanding of fundamental principles of management science. It is geared to develop skills in formulating basic mathematical models and familiarize students with the main algorithms used in management science. The unit also addresses the use of IT and quantitative methods for managing performance in organizations.

Learning outcomes : Use mathematics in operations research to accomplish real life tasks in problems arising from business, industry and government in the best way possible.

Textbooks :

Course Outline and Schedule

Lecture Topics

1

Linear Programming Formulating linear programming models. Graphical solutions for problems with 2 variables. Graphical solutions for problems with 3 variables by

reducing the problem to two variables.

2

The Simplex Method Introduction to the simplex algorithm. The steps in the simplex algorithm. Tableau method for the simplex algorithm.

3

Duality and Sensitivity Analysis Description of the dual simplex algorithm. Example of the dual simplex algorithm. Introducing Sensitivity analysis using an example. Changes in the objective function. Changes in the constant term.

Assignment 1 – 10 %

4

Decision Analysis Decision Theory and Decision Making. Stages in decision making process. Types of decision making. Decision Tree.

5

Transportation Model and its Variants Introduction to the transportation model. Basic feasible solution of the transportation model. The transportation table.

6

Goal Programming Introduction to goal programming. Formulation of linear goal programming problem. Applications of goal programming.

7

Network Analysis Early Event time(ET) Late event time(LT) Gantt Chart Critical path analysis(CPA) Total Float path Program Evaluation and Review Technique (PERT).

Assignment 2 – 15 %

8

Forecasting ModelsIntroduction to forecasting models.Applications of forecasting models.

9

Queuing Systems Characteristics of a queuing system. Cost of queues. Assumptions of the basic simple queuing model.

10 Class Test - 25 %

11 Inventory Models Types of inventory. Economic Order quantity. Fixed period model. Probabilistic models

12Simulation Modeling

Introducing simulation Models. Applications of simulations models.