First Day Material- MATH 328 412 PDF

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‫جامعة القصيم – كلية الهندسة‬

MATH 328 Applied Operations Research First Day Material Semester 412 Spring Semester 1441/1442 (2019-2020)

Dr. Mohammad Sajid TABLE OF CONTENTS Subject I. Course Identification and General Information .................................................. II. Course Objectives ................................................................................................. III. Course Learning Outcomes ............................................................................... IV. Course Schedule V. Course Materials .................................................................................................. VI. Course Instructor ................................................................................................

MATH 328: Applied Operations Research, First Day Material

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I. Course Identification and General Information 1 Title and code

Applied Operations Research, MATH 328

2 Programs on which the course is given

All program

3 Level of programs:

Level 5

4 Prerequisite

MATH 107

5 Credit hours (Theoretical, Tutorial, Practical)

3 (3, 1, 0)

6 Course Instructor:

Dr. Mohammad Sajid

7- Catalog Description Introduction to operation research methodology and applications, Building of mathematical models, Linear programming models, The simplex algorithm, Duality and sensitivity analysis, Transportation and assignment models, Network models, Integer programming. 8- Student Performance Assessment Methods Method of assessment

Percentage of total

a) Attendance

04 %

b) Quizzes

08 %

c) Homework and Reports

04 %

d) Two Mid Terms Exams

2x18% = 36 %

e) Final Exam

50 % Total

102 %

(Note: 2% Bonus are given to students who attend more than 95% of classes)

9 - Text Book: Operations Research: An Introduction by Hamdy A. Taha, Pearson, 9th Edition.

II. Course Objectives The objectives are to: a. Understand the basic methodology of operations research and linear programming problems. b. Solve two-variable linear programming problems using the graphical method. c. Understand the simplex method and solve linear programming problems. d. Optimize the solution of LPP by test of optimality and recognize the role of sensitivity analysis. e. Make dual and solve the dual of linear programming problems. f. Formulations transportation problems, assignment problems and network models. g. Solve the transportation problem, assignment problem and network flow problem. h. Solve integer programming problems. i. Apply the techniques of LPP for solving engineering and industrial problems.

Academic Year: 2019-2020 (1441/1442) – Spring Semester: (412)

MATH 328: Applied Operations Research, First Day Material

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III. Course Learning Outcomes Students who successfully complete the course will demonstrate the following outcomes: 1. Describe the basic terminology of operational research including mathematical

models and optimization. 2. Modeling with linear programming. 3. Solve two-variable linear programming problems using the graphical method 4. Describe the simplex method for solving linear programming problems. 5. Optimize the solution of LPP by test of optimality and recognize the role of sensitivity analysis. 6. Construct and solve the dual of linear programming problems. 7. Formulations transportation problems, assignment problems and network models. 8. Solve the transportation problem, assignment problem and network flow problem. 9. Solve integer programming problems. 10. Use the techniques of LPP to resolve engineering and industrial problems.

IV. Course Schedule Week 1st nd

Contents Introduction to Operations Research, Formulation/Modelling of Problems

2

Linear Programming Problems, Graphical method

3rd

Simplex Method

4th

Simplex Method (Cont.) and Sensitivity Analysis

5th

Simplex Method (Cont.) and Sensitivity Analysis

6th

Duality Duality (Cont.)

7th th

First Mid Exam

8

Post Optimal Analysis

9th

Transportation and Assignment Problems

10th

Transportation and Assignment Problems

11th

Network Models Network Models (Cont.)

12th 13th 14th

Second Mid Exam Integer Linear Programming Integer Linear Programming (Cont.). Final Exam

Academic Year: 2019-2020 (1441/1442) – Spring Semester: (412)

MATH 328: Applied Operations Research, First Day Material

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V. Course Material Most of the documents used in Math 328 including this first day material, course notes, sheets and assignments are available for downloading from the following web site:

https://lms.qu.edu.sa http://students.qec.edu.sa/eng/uploadedFiles.aspx You will need to print all sheets, assignments and course notes that are used in the course. Mostly no hard copies of this course material will be handled to the students.

VI. Course Instructor 1

Personal Data Dr. Mohammad Sajid [email protected] 016-3800050 Ext: 5310, 016-30-13761 B1-G019

Name e-mail Office Phone Office Location 2

Academic Degrees Degree

Major

Institute

Date

Ph. D.

Mathematics

Indian Institute of Technology Kanpur, India

2005

M. Sc.

Mathematics

Rohilkhand University, Bareilly, India

1995

B. Sc.

Mathematics, Physics

Rohilkhand University, Bareilly, India

1993

Academic Year: 2019-2020 (1441/1442) – Spring Semester: (412)...