Reliability analysis and selective maintenance for multistate queueing system

Abstract

The reliability theory of the multi-state system (MSS) has received considerable attention in recent years, as it is able to characterize the multi-state property and complicated deterioration process of systems in a finer way than that of binary-state system. In general, the performance of the task processing type MSS is typically measured by an operation time (processing speed). Whereas, considering the queueing phenomenon caused by the random arrival and processing of tasks, some other criteria should be taken into account to evaluate the quality of service (QoS) and the profit of stakeholders, such as waiting time, service and abandon rate of tasks and consequent profit rate. In this article, we focus on the queueing process of tasks and analyse the performance and reliability of MSS in an M/M/2 queueing model, which is referred to as a multi-state queueing system (MSQS). Two kinds of deterioration are studied including the gradual degradation of servers and the sudden breakdown of the whole system. A performance assessment function is defined to obtain the profit rate of MSQS in different performance states. Based on the proposed performance function, the selective maintenance method is studied to optimize the accumulated profit under the constraint of maintenance resource and time.

Reliability analysis of k-out-of-n: G repairable systems considering common cause failure and multi-level maintenance strategy

“…The reliability science has been widely discussed by researchers. [37][38][39] This paper studies the k-out-of-n: G repairable system with a multi-level maintenance strategy under the influence of common cause failure. Two models are established in two different conditions.…”

Importance measure-based resilience management: Review, methodology and perspectives on maintenance

“…This process mainly includes two parts: (a) Determine which parts to take maintenance actions and (b) determine what type of maintenance actions to take. The goals of the decision include improving system performance, reducing costs, and reducing downtime [97][98][99]. Although the resilience oriented selective maintenance strategy has not yet been proposed, we believe that its goals are similar to those described above.…”

“…Reliability-oriented maintenance methods have improved tremendously over the past few years [61,62]. Among them, there is a lack of maintenance management research based on [39], [72], [75][76][77][78][79][80] [ 34,35], [72], [81][82][83][84][85][86][87][88] [83], [90][91][92][93][94][95] [ [96][97][98][99][100][101][102][103][104][105] [8], [107][108][109][110][111][112][113][114][115][116][117] Fig. 3 Classification of common maintenance strategies related to resilience Maintenance management in a broad sense refers to a series of activities in order to reduce the probability of failures, reduce the impact of failures, and improve th...…”