A Case Study of Bus-Gearboxes Maintenance using Arithmetic Processes

  • Francis, LeungKit-Nam (Department of Management Sciences City University of Hong Kong, Department of Epidemiology and Biostatistics School of Public Health Curtin University of Technology) ;
  • Lai, Kin-Keung (Department of Management Sciences City University of Hong Kong)
  • Published : 2003.06.30


In this study, we employed an arithmetic process (AP) approach to resolve gearbox maintenance problems. The approach is realistic and direct in modelling the characteristics of a deteriorating system such as a gearbox since a decreasing AP can model a gearbox's successive operating times and an increasing AP can model the corresponding consecutive repair times. First of all, two test statistics were used to check whether the process is arithmetic or not. Next, model parameters of the AP were estimated using the simple linear regression method. Finally, the optimal replacement policy based on minimising the long-run average cost per day was determined for each type of gearbox.


deteriorating systems;maintenance;repair;replacement;arithmetic processes;renewal processes