The Optimality of the On-Line Greedy Algorithm in Carpool and Chairman Assignment Problems

We study several classes of related scheduling problems including the carpool problem, its generalization to arbitrary inputs and the chairman assignment problem. We derive both lower and upper bounds for on-line algorithms solving these problems. We show that the greedy algorithm is optimal among on-line algorithms for the chairman assignment problem and the generalized carpool problem. We also consider geometric versions of these problems and show how the bounds adapt to these cases.

By: Don Coppersmith; Tomasz J. Nowicki; Giuseppe A. Paleologo; Charles Tresser; Chai Wah Wu

Published in: RC23721 in 2005


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