Dynamic Analysis of a Unified Multivariate Counting Process and Its Asymptotic Behavior

The class of counting processes constitutes a significant part of applied probability. The classic counting processes include Poisson processes, nonhomogeneous Poisson processes, and renewal processes. More sophisticated counting processes, including Markov renewal processes, Markov modulated Poisson processes, age-dependent counting processes, and the like, have been developed for accommodating a wider range of applications. These counting processes seem to be quite different on the surface, forcing one to understand each of them separately. The purpose of this paper is to develop a unified multivariate counting process, enabling one to express all of the above examples using its components, and to introduce new counting processes. The dynamic behavior of the unified multivariate counting process is analyzed, and its asymptotic behavior ast→∞is established. As an application, a manufacturing system with certain maintenance policies is considered, where the optimal maintenance policy for minimizing the total cost is obtained numerically.

Download Full-text

Maintenance Decision Model for a Two-Machine Production Line With Multistage Degradation Machines

Volume 3: Manufacturing Equipment and Systems ◽

10.1115/msec2018-6633 ◽

2018 ◽

Author(s):

Yunyi Kang ◽

Feng Ju

Keyword(s):

Decision Model ◽

Production Systems ◽

Maintenance Policy ◽

Multi Stage ◽

Markov Decision ◽

Optimal Maintenance ◽

Markov Decision Model ◽

Maintenance Decision ◽

Maintenance Policies ◽

Optimal Maintenance Policy

In this work, we develop preventative maintenance policies on two-machine-and-one-buffer production systems with machines subject to multi-stage degradation. Condition-based maintenance policies are generated for both machines, with consideration on both the machine degradation stages and the buffer level. Moreover, the policies are flexible, allowing a machine to be recovered to any better operating state, while merely recovering to the best operating state is possible in many previous work. A Markov decision model is formulated to find the optimal maintenance policy and computational experiments show that the policies improve the performance of a system in finite production runs.

Download Full-text

Imperfect maintenance model for estimating aircraft fleet availability

Aircraft Engineering and Aerospace Technology ◽

10.1108/aeat-10-2015-0221 ◽

2017 ◽

Vol 89 (2) ◽

pp. 338-346 ◽

Cited By ~ 5

Author(s):

Aleksandar Knezevic ◽

Ljubisa Vasov ◽

Slavisa Vlacic ◽

Cedomir Kostic

Keyword(s):

Intermediate Level ◽

Imperfect Maintenance ◽

Maintenance Policy ◽

Content Type ◽

Reliability Parameters ◽

Optimal Maintenance ◽

Maintenance Policies ◽

Optimal Maintenance Policy ◽

Maintenance Model

Purpose The purpose of this paper is to define conditions under which improved availability of fleet of G-4 jet trainers is obtained, and optimization of intermediate-level maintenance through imperfect maintenance model application. This research has been conducted based on available knowledge, and experience gained by performing intermediate-level maintenance of Serbian Air Force aircrafts. Design/methodology/approach Analysis of the data collected from daily maintenance reports, and the analysis of maintenance technology and organization, was performed. Based on research results, a reliability study was performed. Implementation of imperfect maintenance with its models of maintenance policies (especially a quasi-renewal process and its treating of reliability and optimal maintenance) was proposed to define new maintenance parameters so that the greater level of availability could be achieved. Findings The proposed methodology can potentially be applied as a simple tool to estimate the present maintenance parameters and to quickly point out some deficiencies in the analyzed maintenance organization. Validation of this process was done by conducting a reliability case study of G-4 jet trainer fleet, and numerical computations of optimal maintenance policy. Research limitations/implications The methodology of the availability estimation when reliability parameters were not tracked by the maintenance organization, and optimization of intermediate-level maintenance, has so far been applied on G-4 jet trainers. Moreover, it can be potentially applied to other aircraft types. Originality/value Availability estimation and proposed optimization of intermediate maintenance is based on a survey of data for three years of aircraft fleet maintenance. It enables greater operational readiness (due to a military rationale) with possible cost reduction as a consequence but not as a goal.

Download Full-text

Availability analysis and maintenance optimization for multiple failure mode systems considering imperfect repair

Proceedings of the Institution of Mechanical Engineers Part O Journal of Risk and Reliability ◽

10.1177/1748006x211012792 ◽

2021 ◽

pp. 1748006X2110127

Author(s):

Qingan Qiu ◽

Baoliang Liu ◽

Cong Lin ◽

Jingjing Wang

Keyword(s):

Failure Modes ◽

Maintenance Cost ◽

Imperfect Maintenance ◽

Maintenance Policy ◽

Cost Rate ◽

Availability Analysis ◽

Long Run ◽

Optimal Maintenance ◽

Maintenance Policies ◽

Periodic Inspections

This paper studies the availability and optimal maintenance policies for systems subject to competing failure modes under continuous and periodic inspections. The repair time distribution and maintenance cost are both dependent on the failure modes. We investigate the instantaneous availability and the steady state availability of the system maintained through several imperfect repairs before a replacement is allowed. Analytical expressions for system availability under continuous and periodic inspections are derived respectively. The availability models are then utilized to obtain the optimal inspection and imperfect maintenance policy that minimizes the average long-run cost rate. A numerical example for Remote Power Feeding System is presented to demonstrate the application of the developed approach.

Download Full-text