Notes on Linear Programming

Part I: The Generalized Simplex Method for Minimizing a Linear Form Under Linear Inequality Restraints

George Bernard Dantzig, Alex Orden, Philip S. Wolfe

ResearchPublished 1954

The first of a series of papers on the determination of optimum solutions to systems of linear inequalities. The present paper develops a theory for avoiding assumptions regarding rank of underlying matrices which has import in applications where little or nothing is known about the rank of some linear inequality system requiring solution.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1954
  • Print Format: Paperback
  • Paperback Pages: 17
  • Paperback Price: $20.00
  • Document Number: RM-1264

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RAND Style Manual
Dantzig, George Bernard, Alex Orden, and Philip S. Wolfe, Notes on Linear Programming: Part I: The Generalized Simplex Method for Minimizing a Linear Form Under Linear Inequality Restraints, RAND Corporation, RM-1264, 1954. As of October 6, 2024: https://www.rand.org/pubs/research_memoranda/RM1264.html
Chicago Manual of Style
Dantzig, George Bernard, Alex Orden, and Philip S. Wolfe, Notes on Linear Programming: Part I: The Generalized Simplex Method for Minimizing a Linear Form Under Linear Inequality Restraints. Santa Monica, CA: RAND Corporation, 1954. https://www.rand.org/pubs/research_memoranda/RM1264.html. Also available in print form.
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