In this paper, we attempted to solve the multi-depot time
dependent vehicle routing problem with heterogeneous fleet
subject to hard time windows and limitation on the maximum
number of the vehicles in depots. The objective of this problem
is to minimize the total heterogeneous fleet cost assuming that
the travel time between locations depends on the departure
time. This problem has not been studied ever before. The problem
was described with an integer programming model, and
then a constructive heuristic method was proposed to solve
it. Performance of the proposed algorithm was compared with
the results of the Lingo based on 180 test problems. From the
computation results, we could clearly see that the proposed
algorithm could efficiently obtain a satisfying solution. For
further research, we recommend developing other competitive
solution procedures for the problem.