The Cross-Section Method
An Algorithm for Linear Programming
Expert InsightsPublished 1958
An algorithm that solves the linear-programming problem. This algorithm combines the usual phase one (obtaining feasibility) and phase two (obtaining optimality) of the simplex or dual methods into a single phase. The algorithm begins with either a single activity (column) or a constraint (equation) and proceeds to add either activities or constraints one at a time, solving the subproblems that arise for their optimal solutions. The final solution is attained after adding the last activity or constraint. The algorithm promises to be an efficient one and has several advantages arising from the information supplied about subproblems.
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Document Details
- Copyright: RAND Corporation
- Availability: Web Only
- Year: 1958
- Pages: 24
- DOI: https://doi.org/10.7249/pubs
- Document Number: P-1490
Citation
RAND Style Manual
Stone, Janet, The Cross-Section Method: An Algorithm for Linear Programming, RAND Corporation, P-1490, 1958. As of July 10, 2026: https://www.rand.org/pubs/papers/P1490.html
Chicago Manual of Style
Stone, Janet, The Cross-Section Method: An Algorithm for Linear Programming. Santa Monica, CA: RAND Corporation, 1958. https://www.rand.org/pubs/papers/P1490.html.
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