COURSE OUTLINE Course Name Operations Research-I Prepared On 22 Jan 2023 Course Code BSCS-507 Credit Hours 2+1 Prerequisite Course Revised On Course Type □ Core Course □ Elective Program BSCS Semester Third Year (Semester-I ) Course Instructor(s) Kamlesh Narwani Course Content Operations Research is the study of scientific approaches to decision-making. Through mathematical modeling, it seeks to design, improve and operate complex systems in the best possible way. The mathematical tools used for the solution of such models are either deterministic or stochastic. Students will learn very powerful modeling and solution techniques for decision-making problems that are used today by many successful companies to help them save/earn millions of dollars. Course Learning Outcomes CLO # By the end of the semester, students should be able to: 1 Understand the characteristics of different types of decision-making environments and the appropriate decision making approaches and tools to be used in each type. 2 Build and solve Transportation Models and Assignment Models. 3 Design new simple models, like: CPM, MSPT to improve decision –making and develop critical thinking and objective analysis of decision problems. 4 Implement practical cases, by using TORA, WinQSB Teaching & Learning Methodology Topics covered from textbook and available literature, Use of multimedia presentations Classroom discussion &Quizzes Textbook(s) Frederick S. Hiller, Gerald J. Lieberman, Introduction to Operations Research (Ninth Edition)(English), Mc-Graw Hill 2010. Reference Book(s) W. Winston, Operations Research, Duxbury Press. Operations Research: Applications and Algorithms, Wayne L Winston, Indian University, 7th edition, 2014. Taha, H.A. (1992). Operations Research: An Introduction. 5 th edition. Prentice-Hall, New York. Grading Policy Assessment Instruments Lab Quiz / Assignment Mid Term Exam Final AIMS Exam Percentage 20% 20% 20% 40% 1 Week-wise Course Outline Week 1 Theory Lab Wee k 9 Introduction to operations research Lab The transportation and assignment problems oThe transportation problem, Introduction to Operations Matrix Research, History of operations Operations research and its applications 2 Theory Sequencing A streamlined simplex Problem method for transportation problem 10 The transportation and assignment Introduction to operations research problems Modeling the programming 3 linear Matrix Operations (Cont..) The assignment problem A Game Theory special algorithm for the assignment problem 11 Linear programming Geometry, Solving the linear Minimum programming Cost Path 4 The Simplex method, Shadow price, Theory of the simplex method 5 6 Array Sorting dynamic Assignment Problem Dynamic programming Dynamic Programming Problem Integer programming Prototype examples, BIP Inventory applications and formulation Problem examples Some perspectives on solving integer programming problems 14 Linear Programming Problem Other algorithms for linear programming of Deterministic dynamic programming 13 Duality Sensitivity analysis 7 Finding Maximum Number In An Array Duality Dual theory Characteristic programming 12 Linear programming Dynamic programming Integer programming The branch-and-cut approach to solve BIP problems The incorporation of constraint programming 15 REVISION 16 Final Exam The dual simple method, Big – Queuing M method, The tow phase Problem method 8 Midterm Final lab Exam 2