International İzmir Democracy Engineering (IDU) Symposium, IES'22, 28 - 30 Ekim 2022, ss.3
The Traveling Repairman Problem (TRP) is often solved in the literature using
different solution strategies in many domains with deterministic data. The TRP has been modeled differently according to
different objective functions, problem constraints and properties. Different
objectives such as profit maximization, waiting time minimization, and cost
minimization can be observed. For the traditional TRP, there are certain characteristics
of the problem, such as; each customer needing to be served by one repairman, and
the travel starts from the depot and ends at a terminal node while creating a
route of customers. The TRP with profit maximization is formulated around a
repairman or a server who needs to follow a route to satisfy the service
demands of the customers. Since the objective is profit maximization, there is
no condition to satisfy all customer demands as long as it is not profitable. In this study, a constraint programming model
has been proposed for the TRP with profits. As the problem size increases, reaching
the optimal solution becomes impossible and long solution times are encountered
even for feasible solutions. The model was tested with the benchmark instances.
The performance comparison of the existing integer programming models and the proposed
constraint programming model has been carried out over the solution time and
percent optimality gap. Compared to the best-performing integer programming
model in the literature, the developed constraint programming model
successfully reached high-quality solutions in reasonable computation times.