In a mathematical programming problem, an optimum (maxi- mum or minimum) of a function is sought, subject to con- straints on the values of the variables. In the quarter century since G. B. Dantzig introduced the simplex method for linear programming, many real-world problems have been modelled in mathematical programming terms. Such problems often arise in economic planning - such as scheduling industrial production or transportation - but various other problems, such as the optimal control of an interplanetary rocket, are ...
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In a mathematical programming problem, an optimum (maxi- mum or minimum) of a function is sought, subject to con- straints on the values of the variables. In the quarter century since G. B. Dantzig introduced the simplex method for linear programming, many real-world problems have been modelled in mathematical programming terms. Such problems often arise in economic planning - such as scheduling industrial production or transportation - but various other problems, such as the optimal control of an interplanetary rocket, are of similar kind. Often the problems involve nonlinear func- tions, and so need methods more general than linear pro- gramming. This book presents a unified theory of nonlinear mathe- matical programming. The same methods and concepts apply equally to 'nonlinear programming' problems with a finite number of variables, and to 'optimal control' problems with e. g. a continuous curve (i. e. infinitely many variables). The underlying ideas of vector space, convex cone, and separating hyperplane are the same, whether the dimension is finite or infinite; and infinite dimension makes very little difference to the proofs. Duality theory - the various nonlinear generaliz- ations of the well-known duality theorem of linear program- ming - is found relevant also to optimal control, and the, PREFACE Pontryagin theory for optimal control also illuminates finite dimensional problems. The theory is simplified, and its applicability extended, by using the geometric concept of convex cones, in place of coordinate inequalities.
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Add this copy of Mathematical Programming and Control Theory to cart. $14.00, good condition, Sold by BookHouse On-Line rated 5.0 out of 5 stars, ships from Minneapolis, MN, UNITED STATES, published 1978 by Chapman & Hall.
Add this copy of Mathematical Programming and Control Theory. (Isbn: to cart. $20.00, good condition, Sold by Heroes Bookshop rated 5.0 out of 5 stars, ships from Lubbock, TX, UNITED STATES, published 1978 by Champman & Hall.
Add this copy of Mathematical Programming and Control Theory to cart. $24.00, very good condition, Sold by de Wit Books rated 5.0 out of 5 stars, ships from Hutchinson, KS, UNITED STATES, published 1978 by Chapman & Hall/John Wiley.
Add this copy of Mathematical Programming and Control Theory (Chapman to cart. $29.85, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1978 by Chapman & Hall.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 300grams, ISBN: 0412155001.
Add this copy of Mathematical Programming and Control Theory to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1978 by Springer.
