Get An Annotated Timeline of Operations Research: An Informal PDF
By Saul I. Gass
An Annotated Timeline of Operations examine: a casual heritage recounts the evolution of Operations learn (OR) as a brand new technological know-how - the technology of determination making. coming up from the pressing operational problems with global battle II, the philosophy and technique of OR has permeated the answer of choice difficulties in enterprise, undefined, and govt. The Timeline chronicles the heritage of OR within the type of self-contained, expository entries. each one access offers a concise rationalization of the occasions and folks less than dialogue, and offers key resources the place additional correct details should be bought. furthermore, books and papers that experience encouraged the improvement of OR or helped to coach the 1st generations of OR lecturers and practitioners are brought up during the e-book. beginning in 1564 with seminal rules that shape the precursors of OR, the Timeline lines the foremost rules and occasions of OR via 2004. The Timeline should still curiosity somebody eager about OR - researchers, practitioners, teachers, and, specially, scholars - who desire to find out how OR got here into being. additional, the scope and expository kind of the Timeline should still make it of price to the final reader drawn to the advance of technology and expertise within the final half the 20th century.
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Additional resources for An Annotated Timeline of Operations Research: An Informal History (International Series in Operations Research & Management Science)
Jalal, J. Krarup, pp. 67–104 in Annals of Operations Research 123, Contributions in Location Analysis: A Volume in Honor of Kenneth E. Rosing, J. Hodgson, C. , a point x that satisfies f (x) = x. This topological result, due to the Dutch mathematician Luitzen E. J. Brouwer, has proved to be one of the most useful theorems in mathematical economics and game theory. In 1941, Kakutani extended it to point-to-set maps. John von 30 Neumann and John F. Nash both used fixed point theorems to simplify their originally more complicated proofs.
C. Koopmans, editor, John Wiley & Sons, New York, 1951; “On the development of optimization theory,” A. Prékopa, American Mathematical Monthly, 1980, 527–542] 1906 Pareto optimal solution The Italian economist Vilfredo Pareto proposed that in competitive situations a solution is optimum (efficient) if no actor’s satisfaction can be improved without lowering (degrading) at least one other actor’s satisfaction level. That is, you cannot rob Peter to pay Paul. In multi-objective situations, a Pareto optimum is a feasible solution for which an increase in value of one objective can be achieved only at the expense of a decrease in value of at least one other objective.
Biggs, E. K. Lloyd, R. J. Wilson. Oxford University Press, Oxford, 1976; The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization, E. L. Lawler, J. K. Lenstra, A. H. G. Rinnooy Kan, D. B. Shmoys, editors, John Wiley & Sons, New York, 1985] Cycling with Hamilton: Hamilton created a game called the Icosian Game that requires the finding of Hamiltonian cycles through the 20 vertices that are connected by the 30 edges of a regular solid dodecahedron. 1873 Solution of equations in nonnegative variables The importance of nonnegative solutions to sets of inequalities and equations was not evident until the development of linear programming.