%0 Journal Article %T A Linear Programming Relaxation and a Heuristic for the Restless Bandit Problem with General Switching Costs %A Jerome Le Ny %A Munther Dahleh %A Eric Feron %J Mathematics %D 2008 %I arXiv %X We extend a relaxation technique due to Bertsimas and Nino-Mora for the restless bandit problem to the case where arbitrary costs penalize switching between the bandits. We also construct a one-step lookahead policy using the solution of the relaxation. Computational experiments and a bound for approximate dynamic programming provide some empirical support for the heuristic. %U http://arxiv.org/abs/0805.1563v1