Program:                      BS  

Course Code                STAT-408

Credit Hours                 3 CR

Course Coordinator     Qasim Ramzan

Introduction

 This course will introduce the basic principles in optimal resource allocation. Operations Research (OR)  represents the study of optimal                                                  resource allocation. The goal of OR is to provide rational bases for decision making by seeking to understand and structure complex                                                        situations, and to utilize this understanding to predict system behavior and improve system performance.

Pre requisites: -

Learning outcomes

  • Provide rational bases for decision making.
  • Utilize this understanding to predict system behavior and improve system performance.
  • Solving complex problems and improving quantitative decisions.

Textbooks

  1. Taha, H.A. (1998) “Operations Research”. Macmillan London.
  2. Hiller, F.S. and Lieberman, G.J.(1996). “Introduction to Operations Research”, Holden Day.
  3. Gupta, P.K. and Hira, D.S. (1994). “Operations Research”. S. Chand & Co., New Delhi.
  4. Bazarra, N.M., Jarvis, J.J. and Sherali, H.D. (1990). “Linear Programming and Network Flows”. John Wiley & Sons, 2nd edition.

 

Week

Topics

Books

1  

 History and definition of O.R.

Taha, H.A. (1998) “Operations Research”.(1-7) 

2

 Introduction to linear programming. Formulation of LP model.

Taha, H.A. (1998) “Operations Research”.(10-14)

3

 Graphical solution of two variables.

Taha, H.A. (1998) “Operations Research”.(15-20)

4

 Standard form. Simplex method.

Taha, H.A. (1998) “Operations Research”.​(82-94)

5

 Duality theory.

Taha, H.A. (1998) “Operations Research”.​(151-161)

7

  Primal and dual form.

Taha, H.A. (1998) “Operations Research”.​(161-172)

8

 Gaussian elimination.

Assignment

9

 Transportation problem,

Taha, H.A. (1998) “Operations Research”.​(194-206)

10

 Introduction to CPM and PERT techniques

Taha, H.A. (1998) “Operations Research”.​(280-293)

11

 Queing models. Inventory models

Taha, H.A. (1998) “Operations Research”.​(550-555)

12

 

 Dynamic programming and simulation models.

 https://www.slideshare.net/stjulians/modelling-and-simulation-9453166

13

 Assignment problem

Taha, H.A. (1998) “Operations Research”.​(200-232)

14

 Graphical solution via Software

Tora Software
   Simplex method via Software

Tora Software

16

Sensitivity analysis via Softwares

Assignment

 

Description of system of Evaluation

Exam: Mid (30%), Final (50%), Sessional (20%): Assignments, Presentations, Class Participation, Quizzes 

Time Table: BS Regular:

                              BS (8th Regualr)
                        tuesday                8:00 AM to 9:00 AM
                        wednesday              8:00 AM to 9:00 AM
                        thursday              11:00 AM to 12:00 AM

                     BS Self :

                          BS (8th SS)
                        monday              2:00 PM to 3:00 PM
                        thursday              4:00 PM to 5:00 PM
                        friday              3:00 PM to 4:00 PM

 


Course Material