BLG 368E Operations Research I Dr. Ali Evren Goksungur Phd, Operation Research

Course Information Operation Research Basics of Operation Research Decision Making Mathematical Models Language : English

Course description Decision making, Model building, Modeling philosophy Linear programming Graphical solution, Simplex algorithm, M method, Two phase simplex, Dual simplex, Revised simplex Excel solver or Lindo GAMS Duality, Sensitivity analysis, Complementary slackness Transportation models and solving methods, Transshipment, Assignment Network models Project management

Course objectives To use different mathematical modeling techniques utilizing Operations Research (OR) methodology To learn various methods that are used for quantitative decision making To find optimal solutions to problems

Course learning outcomes 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 software to model, solve and analyze a linear model identify whether a solution is optimal or not solve and analyze transportation and assignment problems with related methods

Relationship between the course and Engineering curriculum 1: Little, 2. Partial, 3. Full

References Text book Winston W.L. (2004) “Operations Research: Applications and Algorithms”, Brooks/Cole – Thomson Learning Course Documents Up-to-date lecture notes and supplements Solutions to exams and homework Previous exam questions Books “Operations Research”, "Practical Management Science", "Introduction to Management Science“, "Quantitative Analysis for Management”, "Optimization in Operations Research", "Introduction to Mathematical Programming“ Web sites of other courses related with Operation Research

Assessment Criteria 2 Midterm exams (25 % + 25 %) Assignment or Project (10%) Final exam (40%)

Exams Midterm exam 1 Topics covered in the first six weeks Topics covered after week seven Final exam All topics

Assignments HW Modeling Solution

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).

Schedule W1 Introduction to OR, Basic Concepts, Int. To LP, Modeling Modeling (ctd.), Graphical solution W3 Simplex Algorithm, The Big M Method W4 Software Packages W5 Two Phase Simplex, URS variables, Reduced Cost-Shadow Price W6 PROBLEM SOLVING MIDTERM EXAM I W7 Sensitivity Analysis, Duality W8 Duality and Sensitivity, Complementary Slackness, Dual Simplex W9 Revised Simplex, Utilizing Simplex for Sensitivity W10 Formulating Transportation Problems, Finding Basic Feasible Sol’n W11 Transp’n Simplex Method, Transshipment & Assignment Problems W12 Introduction to Network Models, CPM-PERT W13 MIDTERM EXAM II (18:00)

Dr. Ali Evren Göksungur Office address İTÜ Teknogirişim Atölyesi , Vadi Öğrenci Yurtları Karşısı , Vadi Blokları A2 BLOK , Ofis No : 108 , Maslak – İstanbul   Phone (212) 328 10 44 Text Book : https://www.dropbox.com/s/ayxamvzfeczx7m7/%5BWayne_L._Winston%5D_Operations_Research_Applicatio.pdf E-mail address ali@goksungur.net

Dr. Ali Evren Göksungur, Computer Engineering, İTÜ (2014). chooseclick.com (2013- 2014) Zorlu Holding , Vestel , (2009 – 2012) IBM TURK , Asset Manager (2006 – 2008) T-Systems Turkey , German Telecom (2003-2006) Sanko Holding , System Engineer (2002-2003) Marmara University , Phd , Operation Research (2004 – 2008 ) Marmara University , Master’s Degree , Operation Research (2002-2004) Computer Engineering , E.M.U , (1997– 2001)