Linear Programming - to the simplex and beyond
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Applications of the method of linear programming were first seriously attempted in the late 1930s by the Soviet mathematician Leonid Kantorovich and by the American economist Wassily Leontief in the areas of manufacturing schedules and of economics, respectively, but their work was ignored for decades. During World War II, linear programming was used extensively to deal with transportation, scheduling, and allocation of resources subject to certain restrictions such as costs and availability. These applications did much to establish the acceptability of this method, which gained further impetus in 1947 with the introduction of the American mathematician George Dantzig's simplex method, which greatly simplified the solution of linear programming problems. However, as increasingly more complex problems involving more variables were attempted, the number of necessary operations expanded exponentially and exceeded the computational capacity of even the most powerful computers. Then, in 1979, the Russian mathematician Leonid Khachian discovered a polynomial-time algorithm--i.e., the number of computational steps grows as a power of the number of variables, rather than exponentially--thereby allowing the solution of hitherto inaccessible problems. (from the Encyclopedia Brittanica Article)



1. Introduction to Stochastic Programming
by John R. Birge, Francois Louveaux

2. Practical Genetic Algorithms
by Randy L. Haupt, Sue Ellen Haupt

3. An Illustrated Guide to Linear Programming
by Saul I. Gass

4. Linear and Nonlinear Programming
by David G. Luenberger, David G. Kuenberger

5. Linear Programming and Economic Analysis
by Robert Dorfman, et al

6. Integer and Combinatorial Optimization (Wiley Interscience Series in Discrete Mathematics and Optimization)
by George L. Nemhauser, Laurence A. Wolsey (Contributor)

7. Computer Algorithms : Introduction to Design and Analysis (Addison-Wesley Series in Computer Science)
by Sara Baase

8. Linear and Nonlinear Programming (McGraw-Hill Series in Industrial Engineering and Management Science)
by Ariela Sofer(Contributor), Stephen G. Nash

9. Local Search in Combinatorial Optimization (Wiley-Interscience Series in Discrete Mathematics and Optimization)
by E. H. L. Aarts(Editor), et al

10. Linear Programming
by Vasek Chvatal

11. Nonlinear Programming : Theory and Algorithms (Wiley-Interscience Series in Discrete Mathematics and Optimization)
by Hanif D. Sherali(Contributor), et al

12. Optimization in Operations Research
by Ronald L. Rardin

13. Interior Point Algorithms : Theory and Analysis (Wiley-Interscience Series in Discrete Mathematics and Optimization)
by Yinyu Ye

14. Linear Programming : An Introduction With Applications/Book and Disk
by Alan Sultan

15. Linear Programming and Extensions (Landmarks in Physics and Mathematics)
by George B. Dantzig

16. Elementary Linear Programming With Applications/Book and Disk (Computer Science and Scientific Computing)
by Bernard Kolman, Robert E. Beck (Contributor)

17. Linear Programming 1 : Introduction (Springer Series in Operations Research)
by Mukund N. Thapa, et al

18. Linear Programming and Network Flows
by Mokhtar S. Bazaraa, et al

19. Theory of Linear and Integer Programming (Wiley-Interscience Series in Discrete Mathematics)
by Alexander Schrijver

20. Introduction to Practical Linear Programming
by David J. Pannell

21. The Deductive Foundations of Computer Programming : A One-Volume Version of 'the Logical Basis for Computer Programming'
by Richard Waldinger, Zohar Logical Basis for comp Manna

22. Nonlinear Programming (Classics in Applied Mathematics, No 10)
by Olvi L. Mangasarian

23. Linear Robust Control (Prentice Hall Information and System Sciences)
by Michael Green, David J. Limebeer (Contributor)

24. Optimization and Computational Logic (Wiley-Interscience Series in Discrete Mathematics and Optimization)
by Kenneth McAloon, et al

25. Exploring Interior-Point Linear Programming : Algorithms and Software/Book & Disk (Foundations of Computing Series)
by Ami Arbel

26. Designing Linear Control Systems With Matlab (Matlab Curriculum)
by Katshuiko Ogata, Katsuhiko Ogata

27. Operations Research : Deterministic Optimization Models
by Katta G. Murty

28. Linear Programs and Related Problems (Computer Science and Scientific Computing)
by Evar D. Nering, Albert W. Tucker (Contributor)

29. An Introduction to Linear Programming and Game Theory
by Paul R. Thie

30. Linear Programming (Prentice Hall International Series in Industrial and Systems Engineering) [PHOTOCOPY]
by James P. Ignizio, et al

31. Introduction to Dynamic Systems Analysis (McGraw-Hill Series in Mechanical Engineering)
by Thomas D. Burton

32. Mathematical Introduction to Linear Programming and Game Theory (Undergraduate Texts in Mathematics)
by Louis Brickman

33. Logical Basis for Computer Programming : Deductive Reasoning (Addison-Wesley Series in Computer Science)
by Zohar Manna, et al

34. Linear Semi-Infinite Optimization (Wiley Series in Mathematical Methods in Practice)
by M. A. Goberna, M. A. Lopez Cerda

35. The Logical Basis for Computer Programming : Deductive Systems (Addison-Wesley Series in Computer Science)
by Zohar Manna, et al

36. Linear Control Systems (McGraw-Hill Series in Electrical and Computer Engineering. Computer Engineering)
by Charles E. Rohrs, et al

37. Matrix Methods in Finite Mathematics : An Introduction With Applications to Business and Industry
by Steven C. Althoen, Robert J. Bumcrot (Contributor)

38. Mass Transportation Problems : Theory (Springer Series in Statistics. Probability and Its Applications)
by S. T. Rachev, et al

39. Perturbation Theory in Mathematical Programming and Its Applications (Wiley-Interscience Series in Discrete Mathematics and Optimization)
by Evgenij S. Levitin

40. Modern Control Systems : Analysis and Design
by Walter J. Grantham, Thomas L. Vincent (Contributor)

41. Modified Lagrangians and Monotone Maps in Optimization (Wiley-Interscience Series in Discrete Mathematics and Optimization)
by N. V. Tretiakov, et al

42. Mass Transportation Problems : Applications (Springer Series in Statistics. Probability and Its Applications.)
by S. T. Rachev, et al

43. The Numerical Methods Programming Projects Book (Oxford Science Publications)
by Thomas Allan Grandine

44. Introduction to Mathematical Programming
by Russell C. Walker

45. Proceedings
by H. W. Kuhn(Editor)

46. Linear Programming
by James Calvert, William L. Voxman

47. Linear Programming and Extensions
by Nesa L'Abbe Wu, Richard Coppins (Photographer)



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