Transcription of OPERATIONS RESEARCH LECTURE NOTES
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OPERATIONS RESEARCH LECTURE NOTES
Y. lker Topcu, ( ) OPERATIONS RESEARCH LECTURE NOTES Y. lker Topcu, Prof. Dr. Acknowledgements: We would like to acknowledge Prof. Winston's " OPERATIONS RESEARCH : Applications and Algorithms" and Prof. Beasley's LECTURE NOTES which greatly influence these We retain responsibility for all errors and would love to hear from visitors of this site! Istanbul Technical University OR/MS team Y. lker Topcu, ( ) i CONTENTS 1. INTRODUCTION TO OR .. 1 TERMINOLOGY .. 1 THE METHODOLOGY OF OR .. 1 HISTORY OF OR .. 2 2. BASIC OR CONCEPTS .. 6 3. LINEAR PROGRAMMING .. 11 FORMULATING LP .. 13 Giapetto Example .. 13 Advertisement Example .. 14 Diet Example .. 15 Post Office Example .. 16 Sailco Example .. 16 Customer Service Level Example .. 17 SOLVING LP .. 19 LP Solutions: Four 19 The Graphical Solution .. 19 The Simplex Algorithm .. 24 The Big M Method .. 30 DUALITY .. 33 Primal Dual .. 33 Finding the Dual of an LP.
Y. İlker Topcu, Ph.D. (www.ilkertopcu.info) OPERATIONS RESEARCH LECTURE NOTES Y. İlker Topcu, Prof. Dr. Acknowledgements: We would like to acknowledge Prof. W.L ...
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