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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 2 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 3 Course objectives 1. To use different mathematical modeling techniques utilizing Operations Research (OR) methodology 2. To learn various methods that are used for quantitative decision making 3. To find optimal solutions to problems 4 Course learning outcomes Students who pass the course will be able to 1. use different mathematical modeling techniques 2. solve a problem modeled with LP 3. comprehend the solution of an LP model 4. understand the sensitivity of a solution to the changes at the parameters of the problem 5. use some computer software to model, solve and analyze a linear model 6. identify whether a solution is optimal or not 7. solve and analyze transportation and assignment problems with related methods 5 Relationship between the course and Engineering curriculum Program Outcomes Cont. Level 1 2 3 a Apply mathematics, science, and engineering principles X b Ability to design and conduct experiments and interpret data X c Ability to design a system, component, or process to meet desired needs X d Ability to function on multidisciplinary teams X e Abiliy to identify, formulate, and solve engineering problems f Understanding of professional and ethical responsibility g h Ability to communicate effectively The broad education necessary to understand the impact of engineering solutions in a global context i Recognition of the need for and an ability to engage in a life-time education j Knowledge of contemporary issues X k Ability to use the techniques, skills, and modern eng. tools necessary for eng. practice X l Ability to apply his/her knowledge in business X m X n Knowledge and skills of management Understanding of the environment and responsibility for changes in technological, economical and social issues o To have a high degree of self-confidence and initiative 1: Little, 2. Partial, 3. Full X X X X 6 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 7 Assessment Criteria 2 Midterm exams (25 % + 25 %) Assignment or Project (10%) Final exam (40%) 8 Exams Midterm exam 1 Topics covered in the first six weeks Midterm exam 2 Topics covered after week seven Final exam All topics 9 Assignments HW Modeling Solution 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 W1 Introduction to OR, Basic Concepts, Int. To LP, Modeling W2 Modeling (ctd.), Graphical solution W3 Simplex Algorithm, The Big M Method W4 W5 Software Packages Two Phase Simplex, URS variables, Reduced Cost-Shadow Price PROBLEM SOLVING MIDTERM EXAM I Sensitivity Analysis, Duality Duality and Sensitivity, Complementary Slackness, Dual Simplex Revised Simplex, Utilizing Simplex for Sensitivity Formulating Transportation Problems, Finding Basic Feasible Sol’n Transp’n Simplex Method, Transshipment & Assignment Problems Introduction to Network Models, CPM-PERT PROBLEM SOLVING MIDTERM EXAM II (18:00) W6 W7 W8 W9 W10 W11 W12 W13 12 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 [email protected] 13 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) 14