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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Claremont Colleges

1995

Mathematics

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Sensible Rules For Remembering Duals -- The S-O-B Method, Arthur T. Benjamin Mar 1995

Sensible Rules For Remembering Duals -- The S-O-B Method, Arthur T. Benjamin

All HMC Faculty Publications and Research

We present a natural motivation and simple mnemonic for creating the dual LP of any linear programing problem.


Optimal Klappenspiel, Arthur T. Benjamin, Derek Stanford '93 Jan 1995

Optimal Klappenspiel, Arthur T. Benjamin, Derek Stanford '93

All HMC Faculty Publications and Research

The game Klappenspiel ("flipping game") is a traditional German game of flipping tiles according to dice rolls. In this paper, we derive the optimal strategy for this game by using dynamic programming. We show that the probability of winning using the optimal strategy is 0.30%.