Delay-time inspection model with dimensioning maintenance teams: A study of a company leasing construction equipment

•We propose a inspection policy based on the delay time concept.•We consider the number of maintenance teams for emergency demands as a decision variable.•We illustrate the use of the model in a real situation involving a lessee and a leasing company.•We highlight the practical impacts of the model by calculating different scenarios (parameters).•We highlight the contribution provided by the proposed model. Due to the increase in using equipment in various construction activities, planning the maintenance of this equipment has become extremely important as this aids meeting project deadlines. Alternatively, builders can lease equipment, an option that, in addition to having the advantage of gaining access to the best available technologies at feasible cost, also benefits from the fact that providing maintenance is a contractual obligation of the lessor company. In this context, it must establish a maintenance policy to support the lessee company at an acceptable cost. Thus, this paper proposes a policy for developing an inspection program and forming inspection and maintenance response teams. The application of these concepts targets supporting maintenance planning by equipment-leasing companies in the construction industry.