By Saul I. Gass, Arjang A. Assad
AN ANNOTATED TIMELINE OF OPERATIONS learn: an off-the-cuff heritage recounts the evolution of Operations examine (OR) as a brand new technological know-how - the technological know-how of choice making. bobbing up from the pressing operational problems with international warfare II, the philosophy and method of OR has permeated the solution of choice difficulties in enterprise, undefined, and executive. The Timeline chronicles the heritage of OR within the kind of self-contained, expository entries. each one access provides a concise rationalization of the occasions and other people lower than dialogue, and offers key assets the place extra appropriate details could be acquired. moreover, books and papers that experience prompted the improvement of OR or helped to coach the 1st generations of OR lecturers and practitioners are stated during the e-book. beginning in 1564 with seminal principles that shape the precursors of OR, the Timeline lines the most important rules and occasions of OR via 2004. The Timeline may still curiosity somebody thinking about OR - researchers, practitioners, lecturers, and, specially, scholars - who desire to find out how OR got here into being. extra, the scope and expository type of the Timeline may still make it of worth to the final reader drawn to the advance of technological know-how and know-how within the final 1/2 the 20 th century. are you aware:
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302–319 in Statistics on The Table: The History of Statistical Concepts and Methods, S. M. , 1999] 1921 Minimax strategies for two-person symmetric games For the two-person, symmetric, zero-sum game, Émile Borel defined the gametheoretic framework and the concept of a “method of play” (strategy) as a code that determines “for every possible circumstance ... ” He then pursued an optimal strategy and derived the minimax solutions for games with three or five possible strategies. In his later work, Borel doubted whether minimax solutions always existed.
Eaves, editors, The Mathematical Association of America, Providence, 1974; Facilities Location, R. Love, J. G. 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.
Lanchester formulated sets of differential equations that dealt with the relationship between the concentration of forces and the effective strength of the opposing forces, the solution of which determined the expected results of a combat engagement. His analysis produced the The fighting strength of a force is proportional to the square of its numerical strength multiplied by the fighting value of individual units. Generalizations of Lanchester’s equations have been shown to have some validity when tested against historical battles.