Abstract
Geometric programming with (posy)monomials is known to be synonomous with linear programming. This note reduces algebraic programming to geometric programming with (posy)binomials.
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References
M. Avriel and A.C. Williams, “Complementary geometric programming,”SIAM Journal of Applied Mathematics 19 (1970) 125–141.
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R.J. Duffin, E.L. Peterson and C. Zener,Geometric programming — theory and applications (Wiley, New York, 1967).
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Partially supported by the Army under research grant DA-AROD-31-124-71-G17.
Partially supported by the Northwestern University Urban Systems Engineering Center under research grant #731.
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Duffin, R.J., Peterson, E.L. The proximity of (algebraic) geometric programming to linear programming. Mathematical Programming 3, 250–253 (1972). https://doi.org/10.1007/BF01584993
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DOI: https://doi.org/10.1007/BF01584993