As explained, we need to consider continues-time
Markov process in our analysis, because we need the
memoryless property of evolving the unit production cost
over the time horizon to derive the DP functional Eq. (8).
The main computational difficulty of the proposed
algorithm is to compute fimðDtÞ by the inverse Laplace
transformation in Eq. (4). The usual method for solving
such equations is to approximate them by a discrete-time
analog or determine the inverse Laplace transform
numerically, in moderately large problems.