Linear Programming 1: Introduction (Springer Series in Operations Research and Financial Engineering) - Hardcover

Linear Programming 1 : Introduction

Buch. Zustand: Neu. Neuware - By George B. Dantzig LINEAR PROGRAMMING The Story About How It Began: Some legends, a little about its historical sign- cance, and comments about where its many mathematical programming extensions may be headed. Industrial production, the ow of resources in the economy, the exertion of military e ort in a war, the management of nances-all require the coordination of interrelated activities. What these complex undertakings share in common is the task of constructing a statement of actions to be performed, their timing and quantity(calledaprogramorschedule), that, ifimplemented, wouldmovethesystem from a given initial status as much as possible towards some de ned goal. While di erences may exist in the goals to be achieved, the particular processes, and the magnitudes of e ort involved, when modeled in mathematical terms these seemingly disparate systems often have a remarkably similar mathematical str- ture. The computational task is then to devise for these systems an algorithm for choosing the best schedule of actions from among the possible alternatives. The observation, in particular, that a number of economic, industrial, nancial, and military systems can be modeled (or reasonably approximated) by mathem- ical systems of linear inequalities and equations has given rise to the development of the linear programming eld. Artikel-Nr. 9780387948331

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