WI4051TU sheets week 1

WI4051TU sheets week 1 - Introduction to Operations...

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Unformatted text preview: Introduction to Operations Research WI4051TU Instructor: Hans Melissen, EWI room 4.150 e-mail: j.b.m.melissen@tudelft.nl tel. : 015-2782547 Book: F.S. Hillier and G.J. Lieberman: Introduction to Operations Research, 8th Ed., McGraw-Hill, 2005 + CD-ROM, ISBN 007-123828-X. Exam: Open book exam Subjects: Chapters 1-11 (details follow) What is important in life? • Money • Health • Friends • Mathematics • ….. What is more important in life? • More money • Better health • More friends • More mathematics • More ….. What is most important in life? Optimization! Operations Research (OR, “besliskunde”) ≈ Management Science (MS) OR: - deterministic: Optimization (Ch 1 - 12)- stochastic: Queueing theory (Ch 17) Risk analysis G a m e t h e o r y ( C h 1 4 ) I n v e n t o r y t h e o r y ( C h 1 8 ) S i m u l a t i o n ( C h 2 ) Optimization (Mathematical Programming): Linear (LP) - Continuous, simplex method (Ch 1-7) - Integer programming (+ binary) (Ch 11) - Mixed integer (Ch 11) Non-linear (NLP) (Ch 12) Linear programming. Applications: Production planning Optimal mixing Location problems Transportation problems Routing Project planning Stock portfolios History: 1940-45 Military logistical problems (Operations) 1947 George B. Dantzig: Simplex method for LP Practically feasible by the advent of the computer 1984 Karmarkar: polynomial algorithm for LP Headline news in New York Times!! Headline news in New York Times!...
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WI4051TU sheets week 1 - Introduction to Operations...

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