MM408E : Operations Research

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Elective

Credits

03

Prerequisite

MM105

Overview

The course aims at introducing students to the introduction to operations research. It also deals with transmission and distribution, assignment issues, and network analysis. Finally it aims at introducing students to substitution (substitution theory), game theory, knowledge of waiting lines, systems and solutions, inventory theory, economic concepts, and solution calculation.

Intended learning outcomes

By the end of the course, the student should be able to: 1.Explain the basic concepts in Operations Research. 2.Clarify transmission, distribution, and allocation issues 3.Distinguish the concepts of network analysis and substitution (substitution theory) 4.Define usage of game theory, queues, concept, systems, and solutions 5.Mention the basic concepts of inventory theory, economic concepts and solution calculation 6.Analyze the key concepts in Operations Research 7.Discuss information on transmission, distribution and allocation issues 8.Infer applications of network analysis and substitution (substitution theory)

9. Explain game theory, queues, concept, systems, and solutions 10.Check and prove the inventory theory, economic concepts, and solution calculation 11.Employ the knowledge of basic concepts in Operations Research. 12.1Apply transmission, distribution and allocation issues 13.Use and evaluate the knowledge of network analysis substitution (substitution theory) 14. Prove and use game theory, queues, concepts, systems, and solutions 15. Apply the inventory theory, economic concepts, and solution calculation

Teaching and learning methods

1.Practical and theoretical lectures 2.Discussion and dialogue 3.Brainstorming 4. Working papers and case study 5. Presentations. 6. Videos and e-learning. 7. Use of software and computer applications such as (MATLAB, Geogebra, Geometer) 8. Intensifying applications, solving problems, and linking ideas to reality and life situations

Methods of assessments

1.Written exam (essay + objective) = 25 marks, or its assessment is left to the course instructor 2.Short tests (written or oral), demonstration tasks, applications, exercises and presentations = 15 marks or left to the course instructor 3.Written final exam (essay + objective) = 60 marks

Course content:

Week

Scientific subject

No of hours

Lecture

Excersises

1 - 2

Introduction to operations research

6

Ö

Ö

3 -4

Transportation and distribution

6

Ö

Ö

5

First Midterm ( 2 hours)

5 - 6

Assignment Models

4

Ö

Ö

7 - 8

network analysis

6

Ö

Ö

9

substitution (substitution theory)

3

Ö

Ö

10

Second Midterm ( 2 hours)

10 – 11

Game theory

4

Ö

Ö

12 - 13

queues, Concept systems and solutions

6

Ö

Ö

14

Inventory theory, economic concepts and calculation solution

3

Ö

Ö

Final Exam

Total

42

References

Operations research and linear programming / Dr. Thana Rashid Sadiq

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Linear Algebra 1 (MM105)
Planar and Analytical Geometry (MM103)
Quranic Studies 1 (AR101)
computer 1 (CS100)
General Mathematics 1 (MM101)
General English1 (EN100)
Fundamentals of Education (EPSY101)
General Psychology (EPSY 100)
Introduction to Statistics (ST101)
Quranic studies2 (AR102)
Aerospace Engineering (MM114)
General Mathematics 2 (MM102)
Linear Algebra (2) (MM215)
Developmental Psychology (EPSY 203)
General Teaching Methods (EPSY 201)
General English2 (EN101)
Computer 2 (CS101)
Introduction to the science of Probabilities (ST102)
Arabic language 2 (AR104)
Basics Of Curriculums (EPSY 202)
Mathematical Logic (MM317)
Educational Psychology (EPSY 200)
Arabic language 3 (AR105)
Ordinary Differential Equations 1 (MM202)
Static (MM206)
General Mathematics3 (MM211)
Ordinary Differential Equations 2 (MM311)
Vector analysis (MM214)
Mathematical statistics (ST202)
Set Theory (MM213)
Arabic language 4 (AR106)
Research Methods (EPSY301)
Measurements and Evaluation (EPSY 302)
Methods of teaching mathematics (MM208)
Teaching learning Aids (EPSY 303)
Word processing (CS 202)
Psychological Health (EPSY 401)
School mathematics 1 (MM309)
Complex Analysis 1 (MM305)
Real Analysis 1 (MM303)
Dynamics (MM207)
Abstract Algebra 1 (MM302)
Complex Analysis 2 (MM306)
School mathematics2 (MM310)
Real Analysis 2 (MM304)
Abstract Algebra 2 (MM403)
Numerical Analysis (MM308)
measurement theory (MM410E)
Integral equations (MM409E)
Operations Research (MM408E)
History of Mathematics (MM407E)
Functional Analysis (MM406E)
linear programming (MM405E)
Partial Differential Equations (MM401)
Teaching applications (MM400)
Graduation project (MM404)
Teaching Practice (EPSY 402)