By Saul I. Gass, Arjang A. Assad
AN ANNOTATED TIMELINE OF OPERATIONS study: an off-the-cuff background recounts the evolution of Operations learn (OR) as a brand new technological know-how - the technological know-how of selection making. coming up from the pressing operational problems with international warfare 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 rationalization of the occasions and folks lower than dialogue, and gives key resources the place additional suitable details may be got. moreover, books and papers that experience inspired the improvement of OR or helped to coach the 1st generations of OR lecturers and practitioners are stated during the booklet. beginning in 1564 with seminal principles that shape the precursors of OR, the Timeline strains the major rules and occasions of OR via 2004. The Timeline may still curiosity someone all in favour of OR - researchers, practitioners, lecturers, and, in particular, scholars - who desire to find out how OR got here into being. extra, the scope and expository type of the Timeline should still make it of worth to the final reader attracted to the advance of technological know-how and know-how within the final 1/2 the 20th century. are you aware:
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The general statement of the Representation Theorem – a convex set is polyhedral if and only if it is finitely generated – is due to Hermann Weyl (1935). ” An equivalent result is Theodore Motzkin’s Decomposition Theorem: any convex polyhedron is the sum of a polytope and a polyhedral cone. [Geometrie der Zahlen, H. Minkowski, Teubner, Leipzig, 1896; “Uber den Variabilitatsbereich der Koeffizienten von Potenzreihen, die gegebene Werte nicht annehmen,” C. Carathéodory, Mathematische Annalen, 64, 1907, 95–115; “Elemantere Theorie der konvexen polyeder,” H.
In the 1930s, a sixteen year-old Hungarian mathematician analyzed the general problem of minimizing the distances from the facility to any number of points 29 and proposed a method of solution. His paper, written in French and published in a Japanese mathematics journal, developed an iterative algorithm that converges to the optimal facility location under mild assumptions. This procedure was rediscovered by others in the late 1950s and 1960s. The author of the paper was Endre Weiszfeld, now known as Andrew Vazsonyi.
A. Larkin, McGraw-Hill, New York, 1969] 21 Bricks and baseball: In his brick laying motion study, Frank Gilbreth invented an adjustable scaffold and reduced the motions per brick from 18 to 5, with the bricklaying rate increasing from 120 to 350 per hour. Gilbreth made a film of the Giants and the Phillies baseball game, Polo Grounds, May 31, 1913. He determined that a runner on first, who was intent on stealing second base and had an eight foot lead, would have to run at a speed faster than the world’s record for the 100-yard dash.