## Introduction to Operational Research

Code no:

**9.1.15.7.2.9****, (9120)**Semester:**7th**, Teaching hours: 4## core syllabus

An introduction to all the main techniques of Operational Research.

**PREREQUISITE**

Mathematics, Statistics and Probability Theory to the level of an introductory course is required. In particular, students should have covered elementary distribution theory and the Poisson Process, and have knowledge of linear algebra sufficient to handle matrix inversion. Students must be prepared to use computer packages when required.

## OBJECTIVES

Operational Research approach to modeling. Formulation of OR problems and case studies. Analysis of Linear Programming models. Graphical modeling and solution. Simplex Method. Solution by using computer packages. Slack variables. Duality theory. Interpretation of Duality. Sensitivity Analysis. Transportation Problem. Project evaluation and management with or without limited resources. Integer programming. Decision making under uncertainty. Decision criteria. Decision trees. Inventory control and management. Economic order quantity and reorder point with or without uncertain demand. Queuing Theory. Dynamics of a queuing system with interarrival time and service time coming from any probability distribution, for a single or multiple servers.

## SUBJECT CONTENT IN OUTLINE

- Operational Research approach to modeling.
- Formulation of OR problems and case studies.
- Analysis of Linear Programming models.
- Graphical modeling and solution.
- Simplex Method.
- Solution by using computer packages. Slack variables.
- Duality theory. Interpretation of Duality. Sensitivity Analysis. Transportation Problem.
- Project evaluation and management with or without limited resources.
- Integer programming.
- Decision making under uncertainty. Decision criteria. Decision trees.
- Inventory control and management. Economic order quantity and reorder point with or without uncertain demand.
- Queuing Theory. Dynamics of a queuing system with interarrival time and service time coming from any probability distribution, for a single or multiple servers.