For the model of Section 6.7, use the Lagrangian relaxation to argue for the optimality of the Whittle index policy pW in the following asymptotic regimes: Slow service: all service rates µs ? 0 with...

For the model of Section 6.7, use the Lagrangian relaxation to argue for the optimality of the Whittle index policy pW in the following asymptotic regimes: Slow service: all service rates µs ? 0 with other model parameters fixed. Fast service from the station, station 1 say, whose index is maximal in the sense that W 1 (0) = maxs W s (0): service rate µ1 ? 8 with other model parameters fixed.