Price modelling on heavy-duty assitance contracts.
Modelling, Simulation and Optimization of Assistance Contracts Cost’s.
Laboratório de Engenharia Matemática do Instituto Superior de Engenharia do Porto
Logistics and Transport
Nors group is a Portuguese group whose vision is to be one of the world leaders in transport solutions and construction equipment. Given the high number of service contracts, the group needs an efficient way to analyze the existing data and to estimate the global cost of the assistance contracts, in order to minimize their risks.
Challenges and goals
- To evaluate the risk and price model that was implemented in the company.
- To construct a model that estimates the final cost of a contract.
- To guarantee a complete cost control through a fixed monthly fee.
- To implement the model through Graphic User Interface.
Mathematical and computational methods
The developed methodology is based on probabilistic modelling of accumulated repair and maintenance costs. The probability density functions are chosen from a given set of known distributions or using kernel density estimators based on the minimization of the global error criteria.
Monte Carlo methods were used to simulate the total costs, based on the distributions of the random variables that represent the maintenance and the repair costs.
Results and Benefits
Contracts with a longer lifespan and more kilometers travelled tend to generate smaller profit margin and may even generate losses. Those contracts have much more variance on the cost’s random variable, increasing significantly the company risk.
The developed mathematical model, materialized on a GUI, allows the business manager to estimate contract price proposals according to the model presented and to compare it with the ones that were previously settled by the company. The data processing also validates the parameters used to generate the assistance contracts quotations, checking their adherence with the company real costs.