In this paper we consider the Vehicle Routing Problem with Hard Time Windows and Stochastic Service Times (VRPHTWSST). We can describe the problem as follows. Consider a directed graph G = (V,A) where V = {0, 1, . . . , n} is the node set, and A = {(i, j) | i, j ∈ N} is the arc set. Node 0 represents a depot where a fleet of homogeneous vehicles is initially located and Vc = {1, . . . , n} is t...