Centre for Discrete and Applicable Mathematics
	CDAM Research Report, LSE-CDAM-97-15 November 1997

Abstract

Suppose two blind agents with unit speed are placed a distance H apart on an infinite line, and faced in random directions. Their initial distance H is picked from a distribution F with finite mean \mu. We present a pair of rendezvous strategies which do not depend on the distribution F and ensure a meeting in expected time less than 5.514\mu. This improves the bound of 5.74\mu given by Baston and Gal. Furthermore, the bound we give is best possible for strategies of our type.

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