Industrial environments such as manufacturing and transportation industries usually involve fleets of identical systems that must carry out several missions interspersed with scheduled finite breaks. Given the limited amount of maintenance resources and time available, only a restricted number of maintenance actions can be performed on selected components to ensure a pre-specified performance level of the fleet for the next mission. Such a maintenance strategy is known as fleet-level selective maintenance (FSM). The FSM is more complex than the selective maintenance problem as it adds the total number of systems in the fleet as another level of combinations to be explored during the optimization process. Most FSM models consider the replacement or perfect repair of system components as the only maintenance option. Furthermore, they consider a single repair channel and disregard the assignment of repairpersons and the impact of their variable skillsets on the maintenance costs and duration. In this paper, an approach is proposed to help in more realistic decision making for FSM where several imperfect maintenance levels and multiple repair channels are available. A novel integrated non-linear programming formulation of the FSM problem where maintenance and repairpersons assignment decisions are made jointly is proposed. All relevant parameters and terms of this non-linear optimization problem are developed and discussed. A two-phase modeling approach is then used to transform the original nonlinear problem into a binary integer optimization model. To demonstrate the validity and the added value of the proposed approach, multiple sets of numerical experiments are investigated and managerial implications are provided.

诸如制造业和运输业之类的工业环境通常涉及具有相同系统的车队，这些车队必须执行多个任务，并按计划进行有限的休息。考虑到有限的维护资源和可用时间，只能对选定的组件执行有限数量的维护操作，以确保机队针对下一次任务的预先指定的性能水平。这种维护策略被称为车队级选择性维护（FSM）。FSM比选择性维护问题更为复杂，因为它增加了舰队中的系统总数，成为优化过程中要探索的另一层组合。大多数FSM型号将更换或完美修复系统组件视为唯一的维护选项。此外，他们只考虑一个维修渠道，而无视维修人员的分配及其可变技能对维修成本和工期的影响。在本文中，提出了一种方法，可帮助您在一些不完善的维护级别和多个维修渠道可用的情况下，为FSM做出更现实的决策。提出了FSM问题的一种新颖的集成非线性规划公式，其中维护人员和维修人员的分配决策是联合制定的。开发并讨论了此非线性优化问题的所有相关参数和术语。然后使用两阶段建模方法将原始非线性问题转换为二进制整数优化模型。为了证明该方法的有效性和附加值，