At the end of this course, the students; 1) Understand the decision-making process 2) Understand the conditions for pareto-optimization 3) Evaluate and model the multi-criteria decisions 4) Have an ability to use modern solution approaches for multi-criteria decision problems 5) Learn the advantage of the softwares at the solution stage of the problems
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
Mathematics, especially Linear Algebra and Operations Research
COURSE DEFINITION
This course is one of the basic sections of Operations Research which studies the methods of decision making in real life situations when a choosing of the best alternative(s) among more than one due to the several criteria is necessary.The content of the course includes modeling and investigating the real life multi-criteria problems, evaluation and comparison methods for multi-criteria decisions, utility function theory and Analytic Hierarchy Process approaches, multi-objective optimization problems, order relations in vector spaces, various concepts of solutions in vector optimization, scalarization approaches for convex and nonconvex problems, and goal programming topics.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Basic concepts. What is the decision making? Alternatives, Criteria.
2nd Week
Decision variables and criteria spaces and transformations between them.
3rd Week
Examples on multicriteria problems. Analytic Hierarchy Process (AHP) approaches in decision making.
4th Week
Basic concepts of AHP, the consistency of comparison matrix,
5th Week
Examples of Multi-Objective optimizatişon problems
6th Week
Solution aproaches to the Multicriteria Decision Making
7th Week
Scalarization of the objectives
8th Week
Goal programming. Linear problems. Geometrical interpretation
9th Week
Midterm
10th Week
Preemptive goal programming models.
11th Week
Aplications of the goal programming problems.
12th Week
Concept of Pareto Optimality, Trade-of curves
13th Week
Comprimise programming
14th Week
Computer aplications.
RECOMENDED OR REQUIRED READING
Wayne L. Winston, Operations Research. Applications and Algorithms, Third edition, Duxbury Press, Belmont, California, 1994, Ronald R. Rardin (Purdue University), Optimization in Operations Research,Prentice-Hall, Inc., Upper Saddle River, New Jersey, 1998. Ders Notları
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture,Problem Solving,Practice,Presentation
ASSESSMENT METHODS AND CRITERIA
Quantity
Percentage(%)
Mid-term
1
30
Assignment
1
20
Practice
1
15
Attendance
1
5
Total(%)
70
Contribution of In-term Studies to Overall Grade(%)
70
Contribution of Final Examination to Overall Grade(%)
30
Total(%)
100
ECTS WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
2
2
Preparation for Quiz
Individual or group work
14
2
28
Preparation for Final exam
1
25
25
Course hours
14
4
56
Preparation for Midterm exam
1
25
25
Laboratory (including preparation)
Final exam
1
2
2
Homework
1
8
8
Total Workload
146
Total Workload / 30
4,86
ECTS Credits of the Course
5
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)