Mathematical Models for Consultants - Andrew.cmu.edu
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Mathematical Models for Consulting Anureet Saxena OR/ACO PhD Student, Tepper School of Business, Carnegie Mellon University, Pittsburgh, USA. Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Why Mathematics? Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem Objective Mathematical Optimization Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Objective Mathematical Optimization Problem • Objectivity • Analysis • Simulation • State-of-art hi-tech • Versatility Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Objective Mathematical Optimization Problem • Objectivity • Analysis • Simulation • State-of-art hi-tech • Versatility Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Objective Mathematical Optimization Problem • Objectivity • Analysis • Simulation • State-of-art hi-tech • Versatility Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Objective Mathematical Optimization Problem • Objectivity • Analysis • Simulation • State-of-art hi-tech • Versatility Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Objective Mathematical Optimization Problem • Objectivity • Analysis • Simulation • State-of-art hi-tech • Versatility Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Objective Mathematical Optimization Problem • Objectivity • Analysis • Simulation • State-of-art hi-tech • Versatility Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Objective Mathematical Optimization Problem • Objectivity • Analysis • Simulation • State-of-art hi-tech • Versatility Anureet Saxena, TSoB Mathematical Modeling Subjective Complex Real-World Problem • Resource Limitations • Time Constraints • Union Policy Constraints • Tariff Restrictions • Globalization Threats Objective Mathematical Optimization Problem • Objectivity • Analysis • Simulation • State-of-art hi-tech • Versatility Anureet Saxena, TSoB Role of Consultants Consultants work at the interface of academic and corporate world assisting in the flow of information, knowledge and technology. Anureet Saxena, TSoB Evolution of Consulting Services Anureet Saxena, TSoB Evolution of Consulting Services Increase in Organizational, Business and Industrial Process’ Complexity Anureet Saxena, TSoB Evolution of Consulting Services Technological Advances Anureet Saxena, TSoB Evolution of Consulting Services Increasing Importance of Technology in Businesses Anureet Saxena, TSoB Evolution of Consulting Services • Increase in Organizational, Business and Industrial Process’ Complexity • Technological Advances • Increasing Importance of Technology in Businesses • Sustaining Competitive advantages ? • Effects of Globalization • Need for Robust Business Processes Anureet Saxena, TSoB Course Objectives • Introduction to Mathematical Models – – – – Linear Programming Models Network Models Integer Programming Models Non-Linear Programming Models Anureet Saxena, TSoB Course Objectives • Introduction to Mathematical Models • Introduction to Mathematical Analysis Techniques – – – – – Sensitivity Analysis Regression Analysis Discriminant Analysis Time Series Forecasting Simulation Anureet Saxena, TSoB Course Objectives • Introduction to Mathematical Models • Introduction to Mathematical Analysis Techniques • First Hand Experience of Design and Modeling – Weekly exercises – Extensive Case Study at the end of each chapter – Final Course Project Anureet Saxena, TSoB Course Objectives • • • • Introduction to Mathematical Models Introduction to Mathematical Analysis Techniques First Hand Experience of Design and Modeling Resume Value Anureet Saxena, TSoB Course Material & Requirements • Spreadsheet Modeling and Decision Analysis, 4th Edition by C.T. Ragsdale. • Lecture Slides available on blackboard. • Laptops in Class and access to Microsoft Excell. • Reading Assignments: – Case Studies distributed in class – Publications from Interfaces Journal – Wall-Street Journal Anureet Saxena, TSoB Course Performance Evaluation • Weekly assignments – Assignment assigned anytime during the week would be due on Monday of the next week. – Mode of submission to be announced each week. • Pop-Quizes – avg 3 per 4 weeks • Periodic Case Studies • Mid Term Exam – open book & notes, but no laptops. • Course Project – in teams of sizes between 3 and 4 • No Final Exam Anureet Saxena, TSoB Office Hours • Appointment for office hours only through email. • Send email to anureet@cmu.edu with subject: MMC Office Hours Anureet Saxena, TSoB Miscellaneous • Policy on Cheating – The Carnegie Mellon code of honesty applies throughout the course. • Class Participation – Expected from every student – Applied Course – scope for interesting discussions and debates – Improves quality of teaching and understanding – Avoids boredom and monotonicity Anureet Saxena, TSoB Questions, Queries and Doubts? Anureet Saxena, TSoB Thank You Anureet Saxena, TSoB
