By Saul I. Gass

An Annotated Timeline of Operations examine: a casual heritage recounts the evolution of Operations examine (OR) as a brand new technological know-how - the technological know-how of choice making. coming up from the pressing operational problems with international battle II, the philosophy and method of OR has permeated the solution of selection difficulties in company, undefined, and executive. The Timeline chronicles the historical past of OR within the type of self-contained, expository entries. every one access offers a concise clarification of the occasions and folks less than dialogue, and gives key resources the place additional appropriate details should be received. furthermore, books and papers that experience prompted the improvement of OR or helped to teach the 1st generations of OR teachers and practitioners are brought up in the course of the e-book. beginning in 1564 with seminal principles that shape the precursors of OR, the Timeline strains the main principles and occasions of OR via 2004. The Timeline should still curiosity a person considering OR - researchers, practitioners, lecturers, and, particularly, scholars - who desire to find out how OR got here into being. extra, the scope and expository form of the Timeline should still make it of price to the overall reader drawn to the advance of technology and expertise within the final half the 20th century.

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G. Romig, The Bell System Technical Journal, 8, 1929,613–631; Quality Control and Industrial Statistics, edition, A. J. Duncan, Richard D. Irwin, Homewood, 1974] 1929 Characterization of planar graphs The Polish mathematician Kazimierz Kuratowski showed that if a graph is non-planar it must contain either the complete graph on 5 nodes or the bipartite graph on 6 nodes as subgraphs. This result was announced to the Polish mathematical society in Warsaw on June 21, 1929. The graph is the subject of the wellknown “water, gas, electricity” (three houses connected to three utilities) problem that was known to be non-planar much earlier.

The weights are the quantities shipped between the central facility and each point. ” Pick discusses and pictures a mechanical device (Varignon frame) for solving the weighted three-point problem. 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.

Le Duc Régnant de Saxe-Cobourget et Gotha sur la Théorie des Probabilités appliqués aux sciences morale et politiques, A. Quetelet, Hayez, Brussels, 1846; The History of Statistics, S. M. Stigler, Harvard University Press, Cambridge, 17 1986; The Politics of Large Numbers, A. Desrosières, Harvard University Press, Cambridge, 1998] 1856 Hamiltonian cycles Given a graph of edges and vertices, a closed path that visits all vertices of a graph exactly once is called a Hamiltonian cycle. How to find such a cycle is an important problem in network analysis.

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