Before revision:  In spite of only two locations, the analysis does not seem easy and the (tight) competitive ratio (CR) is only known to be 2.0 for k=2 and 1.5 for a restricted  k, i.e., a multiple of three.
After revision:  In spite of only two locations, the analysis does not seem easy and the (tight) competitive ratio (CR) is only known to be 2.0 for k=2 and 1.5 for a restricted value of k, i.e., a multiple of three.