DOI link for Maintenance Mathematics
Maintenance Mathematics book
In maintenance, mathematics find applications in work sampling, inventory control analysis, failure data analysis, establishing optimum preventive maintenance policies, maintenance cost analysis, and project management control. Some of the areas of mathematics used in maintenance include set theory, probability, calculus, differential equations, stochastic processes, and Laplace transforms. Laplace transforms are useful for solving system of linear differential equations in mathematical maintenance analysis. Mathematical maintenance analysis may involve determining roots of algebraic equations. In mathematical maintenance analysis it may be necessary to find solutions to a set of linear differential equations, particularly when applying the Markov method. Even though there are various methods for solving differential equations, the Laplace transform approach is probably the most effective technique for solving a set of linear differential equations.