Abstract:Abstract-In this paper we focus on problems in which tasks (demands for service) arrive in an environment sequentially over time. A task is completed when a robot (or team of robots) provides the required service, and the goal is to minimize the expected delay between a task's arrival, and its completion. We develop a general framework in which these problems can be described, and propose a set of scaling laws for studying the relationship between the number of robots, the expected task delay, and the task arr… Show more
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