Proceedings of the

The 33rd European Safety and Reliability Conference (ESREL 2023)
3 – 8 September 2023, Southampton, UK

Integrated Planning of Usage-Based Maintenance and Load Sharing Under Resource Dependence

Halit Metehan Dilavera, Alp Akcayb and Geert-Jan van Houtumc

Department of Industrial Engineering and Innovation Sciences, Eindhoven University of Technology, The Netherlands.


In many systems, functionally interchangeable units are used together to meet a common demand or production target. Such examples include parallel machines in production facilities, engines of a vessel, and fleets of ships, airplanes, or trucks. These units typically receive large-scale maintenance dependent on their usage (such as overhauls) and therefore, the timing of their maintenance is directly affected by the policy that determines how the total demand is allocated to the units. We assume that there is a limit on how many units can get maintenance simultaneously because of the limited resources that are involved (e.g., a dry-dock, hangar, or specialized workforce) and/or because the demand needs to be met at all times. In this study, the problem of integrated planning of usagebased maintenance and load sharing (i.e., the allocation of total demand to different units) for multi-unit systems is mathematically analyzed. Also, a mathematical model is built to minimize the total maintenance costs during the finite lifetime of the units (which is generally 10 to 40 years). An asymptotically near-optimal policy is proposed, and its performance is compared with the performance of the optimal policy.

Keywords: Integrated planning, Usage-based maintenance, Load sharing, Resource dependence.

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