By Saul I. Gass, Arjang A. Assad
AN ANNOTATED TIMELINE OF OPERATIONS examine: an off-the-cuff historical past recounts the evolution of Operations examine (OR) as a brand new technological know-how - the technology of selection making. bobbing up from the pressing operational problems with international struggle II, the philosophy and method of OR has permeated the solution of selection difficulties in enterprise, undefined, and executive. The Timeline chronicles the background of OR within the kind of self-contained, expository entries. every one access provides a concise clarification of the occasions and other people less than dialogue, and offers key resources the place additional correct details should be got. furthermore, books and papers that experience prompted the advance of OR or helped to coach the 1st generations of OR lecturers and practitioners are pointed out during the publication. beginning in 1564 with seminal rules that shape the precursors of OR, the Timeline strains the most important principles and occasions of OR via 2004. The Timeline may still curiosity someone keen on OR - researchers, practitioners, teachers, and, specifically, scholars - who desire to learn the way OR got here into being. additional, the scope and expository sort of the Timeline may still make it of worth to the overall reader attracted to the improvement of technology and know-how within the final half the 20 th century. are you aware:
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Extra info for Academic an annotated timeline of operations research
Davis, Basic Books, New York, 1970; 31 Games, Theory and Applications, L. C. Thomas, John Wiley & Sons, New York, 1984; “Game theory,” W. F. Lucas, pp. 317–321 in Encyclopedia of Operations Research and Management Science, edition, S. I. Gass, C. M. Harris, editors, Kluwer Academic Publishers, Boston, 2001] 1913 Inventory Economic Order Quantity (EOQ) The well-known square-root formula for the optimal economic order quantity (EOQ), one form of which is due to Ford W. Harris, is a cornerstone of inventory management.
John von 30 Neumann and John F. Nash both used fixed point theorems to simplify their originally more complicated proofs. Von Neumann (1937) used Brouwer’s theorem to provide a topological proof of the existence of a general competitive equilibrium and, following a suggestion by David Gale, Nash (1950) based his existence proof for Nash equilibria on Kakutani’s fixed point theorem. [“Über eineindeutige, stetige, Transformationen von Flächen in Sich,” L. E. J. Brouwer, Mathematische Annalen, 67, 1910, 176–180; “Über ein Oekonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes,” J.
Morris, G. O. Wesolowsky, North-Holland, New York, 1988; “Location analysis,” C. ReVelle, pp. 459–465 in Encyclopedia of Operations Research and Management Science, edition, S. I. Gass, C. M. Harris, editors, Kluwer Academic Publishers, Boston, 2001; Which Door has the Cadillac: Adventures of a Real-Life Mathematician, A. Vazsonyi, Writers Club Press, New York, 2002; “Geometrical solution to the Fermat problem with arbitrary weights,” G. Jalal, J. Krarup, pp. 67–104 in Annals of Operations Research 123, Contributions in Location Analysis: A Volume in Honor of Kenneth E.