IEM757 Advanced Linear Programming

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

Information

Code IEM757
Name Advanced Linear Programming
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Yüksek Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Dr. Öğr. Üyesi SEMİN PAKSOY


Course Goal / Objective

Builds purpose-oriented models in Linear Programming problems, solves models, analyzes outputs

Course Content

Linear Programming, Simplex Method in Linear Programming Problems, Sensitivity Analysis, Parametric Linear Programming, Modified Simplex Method, Duality, Goal Programming, Multi-Objective Optimization, Interior Point Algorithm

Course Precondition

No prerequisites are required

Resources

Öztürk, Ahmet (2016 ). Yöneylem Araştırması, Ekin Kitabevi, Bursa.

Notes

Hamdy A Taha (2001). Araştırma Yöntemleri, (Çev. Ş Alp Baray ve Şakir Esnaf) Literatür Yayıncılık. Holzman, A. G. (e-book) (2020). Mathematical Programming for Operations Researchers and Computer Scientists (1st ed) CRC Press


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Applies Linear Programming methods
LO02 Solves Multivariate DP problems with fast and efficient algorithms
LO03 Reaches the optimum solution of LP problems involving multiple and conflicting objectives.
LO04 Gains the ability to use computers in solving DP problems
LO05 Interprets the output obtained in solving DP problems in detail.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Explains contemporary concepts about Econometrics, Statistics, and Operation Research 4
PLO02 Bilgi - Kuramsal, Olgusal Explains relationships between acquired knowledge about Econometrics, Statistics, and Operation Research 3
PLO03 Bilgi - Kuramsal, Olgusal Explains how to apply acquired knowledge in the field to Economics, Business, and other social sciences
PLO04 Beceriler - Bilişsel, Uygulamalı Performs conceptual analysis to develop solutions to problems 4
PLO05 Beceriler - Bilişsel, Uygulamalı Models problems with Mathematics, Statistics, and Econometrics 4
PLO06 Beceriler - Bilişsel, Uygulamalı Interprets the results obtained from the most appropriate method to predict the model 5
PLO07 Beceriler - Bilişsel, Uygulamalı Synthesizes the information obtained by using different sources within the framework of academic rules in a field that does not research 3
PLO08 Beceriler - Bilişsel, Uygulamalı Uses acquired knowledge in the field to determine the vision, aim, and goals for an organization/institution 4
PLO09 Beceriler - Bilişsel, Uygulamalı Searches for new approaches and methods to solve problems being faced
PLO10 Beceriler - Bilişsel, Uygulamalı Presents analysis results conveniently 5
PLO11 Beceriler - Bilişsel, Uygulamalı Collects/analyzes data in a purposeful way 5
PLO12 Yetkinlikler - İletişim ve Sosyal Yetkinlik Converts its findings into a master's thesis or a professional report in Turkish or a foreign language 3
PLO13 Beceriler - Bilişsel, Uygulamalı Develops solutions for organizations using Econometrics, Statistics, and Operation Research 3
PLO14 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Performs an individual work to solve a problem with Econometrics, Statistics, and Operation Research 4
PLO15 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Leads by taking responsibility individually and/or within the team 3
PLO16 Yetkinlikler - Öğrenme Yetkinliği Being aware of the necessity of lifelong learning, it constantly renews itself by following the current developments in the field of study
PLO17 Yetkinlikler - İletişim ve Sosyal Yetkinlik Uses a package program of Econometrics, Statistics, and Operation Research or writes a new code 4
PLO18 Yetkinlikler - İletişim ve Sosyal Yetkinlik Interprets the feelings, thoughts and behaviors of the related persons correctly/expresses himself/herself correctly in written and verbal form
PLO19 Yetkinlikler - Alana Özgü Yetkinlik Interprets data on economic and social events by following current issues
PLO20 Yetkinlikler - Alana Özgü Yetkinlik Applies social, scientific and professional ethical values


Week Plan

Week Topic Preparation Methods
1 Simplex method for lineer programing Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
2 Standard LP model in matrix form, basic solutions and basics Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
3 Sensitivity analysis Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
4 Parametric linear programming Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap
5 Parametric Linear Programming Applications Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
6 Revised Simplex Method Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
7 Revised Simplex Method Applications Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
8 Mid-Term Exam Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
9 Bounded variables primal simplex method Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
10 Dual problems in matrix form and their optimum solutions Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
11 Goal programming Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
12 Multiobjective optimization Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
13 Applications of multiobjective optimization and an application on computer Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
14 Karmarkar interior point algorithm Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap
15 Karmarkar Interior Point Algorithm Computer Application Reading relevant parts in the source books according to the weekly program Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
16 Term Exams Ölçme Yöntemleri:
Yazılı Sınav, Ödev
17 Term Exams Ölçme Yöntemleri:
Yazılı Sınav, Ödev


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 09.05.2024 04:21