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Operations Research Course: Decision Making and Mathematical Modeling Techniques

This course offers comprehensive insights into Operations Research (OR) methodologies, emphasizing decision-making and modeling. Topics include linear programming, the graphical method, simplex algorithm, duality, sensitivity analysis, and integer programming methods. Students will learn to utilize software tools like Lindo and Excel Solver, which aid in problem modeling, solving, and analyzing linear models. Practical assignments and exams will reinforce students' abilities to formulate optimal solutions in real-world scenarios, ensuring a solid foundational understanding of OR principles.

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Operations Research Course: Decision Making and Mathematical Modeling Techniques

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  1. MHN502EOperationsResearch I Y. İlker TOPCU, Ph.D. www.ilkertopcu.netwww.ilkertopcu.orgwww.ilkertopcu.info www.facebook.com/yitopcu twitter.com/yitopcu Özgür KABAK, Ph.D. web.itu.edu.tr/kabak/

  2. Course Information • Credits: 3+0 • ECTS Credits: 7.5 • Type: Compulsory • Language: English • Web site: web.itu.edu.tr/topcuil/ya/MHN502E

  3. Coursedescription • Decision making, Model building, Modeling philosophy • Linear programming • Graphical solution, Simplex algorithm, M method • Lindo and Excel solver • Duality, Sensitivity analysis • Transportation models and solving methods, Transshipment, Assignment • Integer programming • Branch and Bound, Cutting planes • Combinatorial optimization

  4. Courseobjectives • To use different mathematical modeling techniques utilizingOperationsResearch (OR) methodology • To learn various methods that are used for quantitative decision making • To find optimal solutions to problems

  5. Courselearningoutcomes Students who pass the course will be able to • use different mathematical modeling techniques • solve a problem modeled with LP • comprehend the solution of an LP model • understand the sensitivity of a solution to the changes at the parameters of the problem • use some computer softwares to model, solve and analyze a linear model • formulate and solve IP problems • solve and analyze transportation and assignment problems with related methods

  6. References Textbook • Winston W.L. (2004) “OperationsResearch: Applications and Algorithms”, Brooks/Cole – ThomsonLearning Web site of thecourse • Up-to-datelecturenotes and supplements • Solutionstoexams and homework • Previousexamquestions Books • “OperationsResearch”, "Practical Management Science", "Introductionto Management Science“, "QuantitativeAnalysisfor Management”,"Optimization in OperationsResearch", "IntroductiontoMathematicalProgramming“ Web sites of othercourses

  7. AssessmentCriteria • Final exam (40%), Midtermexam (30%), 3 Assignments(30%) • Allexamswill be “openbook” or “takehome”

  8. Exams Midtermexam • November 4, Takehome Final exam • December16, At school, Openbook, 7:30 pm

  9. Assignments HW1 • Modeling • September 30 – October 7 HW2 • Solutions, Softwares • November 11 - 18 HW3 • Transportation • November 25 – December 2

  10. Cheating and Plagiarism • Do not! • Studying together to understand the material is fine, but the work you hand in is to be your own. • No cheating will be tolerated: A letter grade of F will be given! • You can constitute a group of maximum three students to submit assignments. You may submit a unique report for your group (of course plagiarism among assignment groups is strictly forbidden).

  11. Schedule

  12. Prof. Dr. Y. İlker Topcu Office address Management Faculty C301, Maçka, Istanbul Phone (212) 293 1300  /2069 office - (532) 355 5045 mobile Web site www.ilkertopcu.net, www.ilkertopcu.org, www.ilkertopcu.info, www.facebook.com/yitopcu, twitter.com/yitopcu E-mail address ilker.topcu@itu.edu.tr

  13. Professor at IndustrialEngineeringdepartment of ITU (2011) • AssociateProfessorship in OperationsResearch (2005) • Ph.D. in ITU Engineering Management programme (2000) • Integrated decision aid model for multi-attribute problem solving • Ph.D. research at Centrefor Decision Research of LeedsUniversityBusinessSchool (1998-1999) • Researchinterests • Decision Analysis, MultiCriteria Decision Making, Group Decision Making • OperationsResearch / Management Science • Logistics Management, Ethics in OR, Business Ethics,Transp’n, Energy, Bidding and Tender Systems, Scheduling

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