As it is easily known, min-times and max-time algebra in the domain of real positive numbers is isomorphic to the max-plus algebra on real numbers. I have looked all papers in the references of this research project but could not find in the titles any explicit reference on the min-times or max-times algebra. I want to know if there is anybody who is working in min-times or max-times algebra.

I have found that min-times and max-times algebras and convex geometry based on these algebras are very good tool to know the structure of the maximal frontier of production possibility set for international trade economy of Ricardian type. See two of my papers below. This study is rather isolated from other idempotent semi-ring analysis, but it is possible that we can find many other fields in which we can use max-times or min-times algebra. Does anyone have information for me?   

• International trade theory and exotic algebra

https://www.researchgate.net/publication/280646264_International_trade_theory_and_exotic_algebra

• Subtropical Convex Geometry as the Ricardian Theory of International Trade

 https://www.researchgate.net/publication/236020268_Subtropical_Convex_Geometry_as_the_Ricardian_Theory_of_International_Trade

N.B. Contents of two papers are not very different. The first one is much shorter but explanations are more concise.

Article Subtropical Convex Geometry as the Ricardian Theory of Inter...

Article International trade theory and exotic algebra