By Saul I. Gass, Arjang A. Assad
AN ANNOTATED TIMELINE OF OPERATIONS learn: an off-the-cuff historical past recounts the evolution of Operations learn (OR) as a brand new technological know-how - the technological know-how of determination making. bobbing up from the pressing operational problems with global warfare II, the philosophy and method of OR has permeated the solution of determination difficulties in company, undefined, and govt. The Timeline chronicles the historical past of OR within the kind of self-contained, expository entries. each one access offers a concise clarification of the occasions and other people lower than dialogue, and offers key assets the place additional appropriate details may be got. furthermore, books and papers that experience encouraged the improvement of OR or helped to teach the 1st generations of OR teachers and practitioners are stated in the course of the e-book. beginning in 1564 with seminal rules that shape the precursors of OR, the Timeline strains the foremost principles and occasions of OR via 2004. The Timeline should still curiosity someone thinking about OR - researchers, practitioners, teachers, and, particularly, scholars - who desire to learn the way OR got here into being. additional, the scope and expository variety of the Timeline may still make it of worth to the overall reader attracted to the improvement of technological know-how and expertise within the final half the 20th century. have you learnt:
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Extra resources for Academic an annotated timeline of operations research
W. , New York, 1990; Statisticians of the Centuries, G. C. Heyde, E. Seneta, editors, Springer-Verlag, New York, 2001] 1928 Existence proof for an equilibrium strategy for two-person matrix games Two publications by John von Neumann appeared in 1928 dealing with the minimax proof for two-person matrix (zero-sum) games. The first was a communication to É. Borel, in which von Neumann announced that he had solved the problem of finding an optimal strategy for the two-person, zero-sum game. The second contained a long and difficult existence proof for the equilibrium of the two-person, discrete game.
Chebyshev. A drawback to this result was the requirement of finite third moments. In 1920, without being aware of Liapanov’s 33 proof, the Finnish mathematician Jarl Waldemar Lindeberg began to investigate conditions that would ensure CLT to hold. Lindeberg’s published his proof of CLT using these conditions in 1922. His work ultimately led to the sufficient condition that the normed tail sum of the variances tend to zero as n goes to infinity. This Lindeberg condition was shown to be also necessary by William Feller in 1935.
Kirchhoff discovered two famous laws that describe the flow of electricity through a network of wires. Kirchhoff’s laws, the conservation of flow at a node (in an electrical circuit, the currents entering a junction must equal the currents leaving the junction), and the potential law (around any closed path in an electrical circuit the algebraic sum of the potential differences equals zero) have a direct application to modern networks and graphs. Kirchhoff also showed how to construct a fundamental set of (n + m – 1) circuits in a connected graph with m nodes and n edges.