Periodic inspection frequency and inventory policies for ak-out-of-nsystem

Abstract

We investigate maintenance and inventory policy for a k-out-of-n system in which the components' failures are hidden and follow a non-homogeneous Poisson process. Two types of inspections are performed to find failed components: planned periodic inspections and unplanned opportunistic inspections. The latter are performed at system failure times when n-k+1 components are down simultaneously. In all cases, the failed components are either minimally repaired or replaced with spare parts from the inventory. The inventory is replenished either periodically or when the system fails. The periodic orders have a random lead-time, but there is no lead-time for emergency orders, as these are placed at system failure times. The key objective is to develop a method to solve the joint maintenance and inventory problem for systems with considerable number of components, long planning horizon, and large inventory. We construct a simulation model to jointly optimize the periodic inspection interval, the periodic reorder interval, and periodic and emergency order-up-to levels. Because of the large search space, it is infeasible to try all possible combinations of decision variables in a reasonable amount of time. Thus, the simulation model is integrated with a heuristic search algorithm to obtain the optimal solution.

Modeling Failure Process and Quantifying the Effects of Multiple Types of Preventive Maintenance for a Repairable System

“…Avenues for further progress include a more comprehensive methodology to include analysis of multiple subsystems and to determine statistical dependence between subsystems of a complex repairable system. Furthermore, given current maintenance effects and failure rates, periodic intervals for various PM types and inspections can be optimized …”

“…Furthermore, given current maintenance effects and failure rates, periodic intervals for various PM types and inspections can be optimized. [27][28][29][30][31]…”

Integrated Model Development of Spare Part Inventory and Maintenance

“…Another research proposed by (Sheng , 2016) that discussed about joint optimization of spare parts inventory and maintenance in the aviation field. Last research, proposed by [6] discusses about joint optimization of spare parts inventory and maintenance using simulation method. In this research, we consider failure rate, deterioration rate, and imperfect maintenance to solve spare part inventory and maintenance problem.…”

Joint Optimization of Preventive Maintenance, Spare Parts Inventory and Transportation Options for Systems of Geographically Distributed Assets

“…From the side of maintenance, both the age-based (usage-based) [2-5] and block-based (period-based) PM policies [6-9] are considered. In addition, several recent studies considered joint PM and SPL decision-making for advanced asset systems, such as a serial-connected multi-part asset structure [10-12], k-out-of-n asset structure [13,14], flexible-connect multi-part asset structure [15], and simple asset structure with multiple failure modes [16].…”

“…From the side of maintenance, both the age-based (usage-based) [2-5] and block-based (period-based) PM policies [6-9] are considered. In addition, several recent studies considered joint PM and SPL decision-making for advanced asset systems, such as a serial-connected multi-part asset structure [10-12], k-out-of-n asset structure [13,14], flexible-connect multi-part asset structure [15], and simple asset structure with multiple failure modes [16].From the side of SPL, joint decision-making problems have been considered in both continuous-review inventory systems [2,3,15] and periodical-review inventory systems [9,12]. These works evaluated several inventory management strategies, including the periodic review inventory replenishment policy (often referred to in the SPL literature as the "(R, S) replenishment policy") [9,17], the so-called min-max replenishment policy (often referred to in the SPL literature as the "(s, S) replenishment policy") [2,3,5,16], and the strategy with reserved inventories for PMs [18].…”