MHN502E Operations Research I Prof. Dr. Y. İlker TOPCU www.ilkertopcu.net www.ilkertopcu.org www.ilkertopcu.info facebook.com/yitopcu twitter.com/yitopcu instagram.com/yitopcu 2 Course Information Credits: 3+0 ECTS Credits: 7.5 Type: Compulsory Language: English Web site: web.itu.edu.tr/topcuil/ya/MHN502E 3 Course description 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 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 5 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 softwares to model, solve and analyze a linear model 6. formulate and solve IP problems 7. solve and analyze transportation and assignment problems with related methods 6 References Text book Winston W.L. (2004) “Operations Research: Applications and Algorithms”, Brooks/Cole – Thomson Learning Web site of the course 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 7 Assessment Criteria Final exam (40%), Midterm exam (30%), 3 Assignments (30%) All exams will be “open book” or “take home” 8 Exams Midterm exam November 2, Take home Final exam December 14, Open book, 7:30 pm 9 Assignments HW1 LP October 12 - 26 HW2 Solutions, Softwares November 9 - 23 HW3 Transportation November 23 – December 7 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 Sept. 28 Oct. 5 Oct. 12 Oct. 19 Oct. 26 Nov. 2 Nov. 9 Nov. 16 Nov. 23 Nov. 30 Dec. 7 Introduction, Basic Concepts, Modeling (Formulating LP) -Graphical Solution, The Simplex Algorithm The Big M Method, Infeasibility Lindo and QM for Windows Software Packages & Solver Add-In MIDTERM EXAM Duality, Sensitivity Analysis Formulating Transportation Problems, Finding Basic Feasible Solutions The Transp'n Simplex Method, Transshipment & Assignment Problems Integer Programming (Formulation) Integer Programming (Solution) 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 Industrial Engineering department of ITU (2011) Associate Professorship in Operations Research (2005) Ph.D. in ITU Engineering Management programme (2000) Integrated decision aid model for multi-attribute problem solving Ph.D. research at Centre for Decision Research of Leeds University Business School (1998-1999) Research interests Decision Analysis, Multi Criteria Decision Making, Group Decision Making Operations Research / Management Science Logistics Management, Ethics in OR, Business Ethics, Transp’n, Energy, Bidding and Tender Systems, Scheduling 14