Cover: Notes on Linear Programming

Notes on Linear Programming

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

Published 1954

by George Bernard Dantzig, Alex Orden, Philip S. Wolfe


Download Free Electronic Document

FormatFile SizeNotes
PDF file 0.8 MB

Use Adobe Acrobat Reader version 10 or higher for the best experience.


Purchase Print Copy

 Format Price
Add to Cart Paperback17 pages $20.00

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.

This report is part of the RAND research memorandum series. The Research Memorandum was a product of RAND from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.