Reliability And Maintenance Modeling Of Complex Systems Under Multiple Dependent Competing Failure Processes

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Reliability and Maintenance Modeling of Complex Systems Under Multiple Dependent Competing Failure Processes

Author : Lei Jiang
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Reliability and Maintenance Modeling of Complex Systems Under Multiple Dependent Competing Failure Processes by : Lei Jiang

Download or read book Reliability and Maintenance Modeling of Complex Systems Under Multiple Dependent Competing Failure Processes written by Lei Jiang and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: To achieve commercialization and wide acceptance in industrial application, reliability analysis for complex evolving systems with multiple failure processes becomes increasingly important. The common assumption in analyzing reliability of such systems is that these multiple failure processes are independent, which may lead to the miscalculation of system reliability. To assist engineers with design, manufacturing and maintenance of complex systems, new reliability models that account for the dependence among multiple failure processes need to be developed to accurately predict the lifetime of these systems. This research aims to develop probabilistic reliability models and analytical tools for systems with dependent competing failure processes, and explore cost-effective maintenance policies based on our reliability analysis. Different dependent patterns among competing failure processes are explored for single-component systems. When the arrival of external shocks diminishes the strength of material, we propose reliability and maintenance models for systems with a shifting, dependent hard failure threshold. When shocks impact the degradation process in different manners, we model zoned shock effects on stochastic degradation, and develop reliability functions for such dependent stochastic failure processes. Case studies of micro-electro-mechanical systems and stent devices are used to demonstrate our models, where Monte Carlo importance sampling is used to estimate system reliability. We extend our models on single-component systems to a broader range of multi-component systems experiencing multiple failure processes, which presents more challenges on modeling the interaction and dependence among different components. A new reliability model and a unique condition-based maintenance model are proposed for complex systems with dependent components subject to respective degradation processes, and the dependence among components is established through environmental factors. Another condition-based maintenance policy is developed for power transformers using Markov decision processes, where a power transformer with multiple components is modeled as a multi-state system. The proposed reliability and maintenance models can be implemented to address the critical quality and reliability problems of evolving devices and many other systems with multiple dependent competing failure processes and multiple dependent components. The developed models and analytical tools can facilitate product design, manufacturing and maintenance, and enhance system reliability and availability.

Reliability Analysis and Maintenance Modeling of Multi-component Systems Subject to Multiple Dependent Competing Failure Processes

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Author : Sanling Song
Publisher :
ISBN 13 :
Total Pages : 159 pages
Book Rating : 4.:/5 (945 download)

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Book Synopsis Reliability Analysis and Maintenance Modeling of Multi-component Systems Subject to Multiple Dependent Competing Failure Processes by : Sanling Song

Download or read book Reliability Analysis and Maintenance Modeling of Multi-component Systems Subject to Multiple Dependent Competing Failure Processes written by Sanling Song and published by . This book was released on 2016 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: System reliability analyses, involving multiple failure processes, are important and challenging research topics, particularly when failure processes, such as degradation processes and random shocks, are competing and dependent. When component degradation models are extended to complex systems with multiple components, different perspectives of dependency should be considered in system reliability modeling. In this research, potential dependence patterns are investigated among multiple failure processes within and among components in systems and probabilistic models are developed to assess system reliability performance. For the reliability modeling of complex systems, if one component in the system degrades or fails prematurely, it is possible that other components will also degrade or fail prematurely given the shared working environment, which means component failure times are dependent. Furthermore, if a shock arrives to the system, and its impact on one component is large, it is likely that the shock impact on other components is also large. Therefore, the models are extended to perform quantitative analyses for system reliability considering that the damages to the two failure processes caused by shocks are dependent. From a multi-component system level perspective, the dependent characteristics from shocks are complex and detailed, so the research is organized into several scenarios, i.e., dependent failure processes are considered in different ways. Stochastically dependent component degradation processes are also studied, and extended gamma process models are used to model the dependent degradation process. Based on these new reliability models, different maintenance policies are derived to provide cost effective maintenance plans. Different maintenance policies are investigated, including: (1) age replacement policies; (2) periodic inspection maintenance policies; (3) Condition-based maintenance policies; and (4) Individual component maintenance policy. This research has many meaningful research contributions. The dependent scenarios described above for shocks are studied for the first time in system reliability modeling, and it is also the initial system model based on stochastically dependent component degradation using the gamma process. Additionally, the on-condition maintenance plans and the individual component maintenance based on steady state system behavior are investigated for the first time. They represent more practical and cost effective policies for many engineering applications.

Reliability and Maintenance of Complex Systems

Author : Süleyman Özekici
Publisher : Springer Science & Business Media
ISBN 13 : 3662032740
Total Pages : 597 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Reliability and Maintenance of Complex Systems by : Süleyman Özekici

Download or read book Reliability and Maintenance of Complex Systems written by Süleyman Özekici and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex high-technology devices are in growing use in industry, service sectors, and everyday life. Their reliability and maintenance is of utmost importance in view of their cost and critical functions. This book focuses on this theme and is intended to serve as a graduate-level textbook and reference book for scientists and academics in the field. The chapters are grouped into five complementary parts that cover the most important aspects of reliability and maintenance: stochastic models of reliability and maintenance, decision models involving optimal replacement and repair, stochastic methods in software engineering, computational methods and simulation, and maintenance management systems. This wide range of topics provides the reader with a complete picture in a self-contained volume.

Dynamic System Reliability

Author : Liudong Xing
Publisher : John Wiley & Sons
ISBN 13 : 1119507618
Total Pages : 256 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Dynamic System Reliability by : Liudong Xing

Download or read book Dynamic System Reliability written by Liudong Xing and published by John Wiley & Sons. This book was released on 2019-01-08 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers timely and comprehensive coverage of dynamic system reliability theory This book focuses on hot issues of dynamic system reliability, systematically introducing the reliability modeling and analysis methods for systems with imperfect fault coverage, systems with function dependence, systems subject to deterministic or probabilistic common-cause failures, systems subject to deterministic or probabilistic competing failures, and dynamic standby sparing systems. It presents recent developments of such extensions involving reliability modelling theory, reliability evaluation methods, and features numerous case studies based on real-world examples. The presented dynamic reliability theory can enable a more accurate representation of actual complex system behavior, thus more effectively guiding the reliable design of real-world critical systems. Dynamic System Reliability: Modelling and Analysis of Dynamic and Dependent Behaviors begins by describing the evolution from the traditional static reliability theory to the dynamic system reliability theory, and provides a detailed investigation of dynamic and dependent behaviors in subsequent chapters. Although written for those with a background in basic probability theory and stochastic processes, the book includes a chapter reviewing the fundamentals that readers need to know in order to understand contents of other chapters which cover advanced topics in reliability theory and case studies. The first book systematically focusing on dynamic system reliability modelling and analysis theory Provides a comprehensive treatment on imperfect fault coverage (single-level/multi-level or modular), function dependence, common cause failures (deterministic and probabilistic), competing failures (deterministic and probabilistic), and dynamic standby sparing Includes abundant illustrative examples and case studies based on real-world systems Covers recent advances in combinatorial models and algorithms for dynamic system reliability analysis Offers a rich set of references, providing helpful resources for readers to pursue further research and study of the topics Dynamic System Reliability: Modelling and Analysis of Dynamic and Dependent Behaviors is an excellent book for undergraduate and graduate students, and engineers and researchers in reliability and related disciplines.

Advances in System Reliability Engineering

Author : Mangey Ram
Publisher : Academic Press
ISBN 13 : 0128162724
Total Pages : 320 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Advances in System Reliability Engineering by : Mangey Ram

Download or read book Advances in System Reliability Engineering written by Mangey Ram and published by Academic Press. This book was released on 2018-11-24 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Advances in System Reliability Engineering describes and evaluates the latest tools, techniques, strategies, and methods in this topic for a variety of applications. Special emphasis is put on simulation and modelling technology which is growing in influence in industry, and presents challenges as well as opportunities to reliability and systems engineers. Several manufacturing engineering applications are addressed, making this a particularly valuable reference for readers in that sector. Contains comprehensive discussions on state-of-the-art tools, techniques, and strategies from industry Connects the latest academic research to applications in industry including system reliability, safety assessment, and preventive maintenance Gives an in-depth analysis of the benefits and applications of modelling and simulation to reliability

Reliability Modeling of Probabilistic Competing Failures

Author : Yujie Wang
Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.:/5 (116 download)

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Book Synopsis Reliability Modeling of Probabilistic Competing Failures by : Yujie Wang

Download or read book Reliability Modeling of Probabilistic Competing Failures written by Yujie Wang and published by . This book was released on 2016 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliability modeling and analysis are essential for safe and reliable operation of complex systems and networks in modern and evolving technologies. This dissertation research concentrates on modeling effects of probabilistic competing failures in reliability analysis of critical systems with functional dependence behavior, where operations of some system components (referred to as dependent components) rely on functions of other components (referred to as trigger components) in a probabilistic manner. A failure of the trigger component may cause two-fold effects. On one hand, if the trigger component failure occurs first, the corresponding dependent components may be isolated with certain probabilities; such an isolation effect can prevent the system function from being compromised by further failures of those dependent components. On the other hand, if any of the dependent components experiences a propagated failure that occurs before the trigger component failure, the entire system can fail due to the propagation effect. In summary, competitions exist in the time domain between the failure propagation and probabilistic isolation effects, which can make significant contributions to the overall system reliability. Such competitions however have not been addressed by existing studies. In this dissertation work, combinatorial and analytical methods are proposed to evaluate reliability of systems subject to the probabilistic competing failure effects. The proposed methods are applicable to arbitrary types of time-to-failure distributions for system components. Some complicated scenarios are modeled, including system components subject to multiple types of local failures that have different statistical relationships (independent, dependent, mutually-exclusive) with propagated failures, systems with multiple correlated probabilistic functional dependence groups, and systems subject to phased-mission requirements. Practical case studies of wireless sensor networks are performed to illustrate the proposed methodologies.

Reliability Engineering

Author : Alessandro Birolini
Publisher : Springer
ISBN 13 : 3662542099
Total Pages : 666 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Reliability Engineering by : Alessandro Birolini

Download or read book Reliability Engineering written by Alessandro Birolini and published by Springer. This book was released on 2017-05-19 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how to build in and assess reliability, availability, maintainability, and safety (RAMS) of components, equipment, and systems. It presents the state of the art of reliability (RAMS) engineering, in theory & practice, and is based on over 30 years author's experience in this field, half in industry and half as Professor of Reliability Engineering at the ETH, Zurich. The book structure allows rapid access to practical results. Methods & tools are given in a way that they can be tailored to cover different RAMS requirement levels. Thanks to Appendices A6 - A8 the book is mathematically self-contained, and can be used as a textbook or as a desktop reference with a large number of tables (60), figures (210), and examples / exercises^ 10,000 per year since 2013) were the motivation for this final edition, the 13th since 1985, including German editions. Extended and carefully reviewed to improve accuracy, it represents the continuous improvement effort to satisfy reader's needs and confidence. New are an introduction to risk management with structurally new models based on semi-Markov processes & to the concept of mean time to accident, reliability & availability of a k-out-of-n redundancy with arbitrary repair rate for n - k=2, 10 new homework problems, and refinements, in particular, on multiple failure mechanisms, approximate expressions, incomplete coverage, data analysis, and comments on ë, MTBF, MTTF, MTTR, R, PA.

Reliability Modeling, Analysis And Optimization

Author : Hoang Pham
Publisher : World Scientific
ISBN 13 : 9814479993
Total Pages : 506 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Reliability Modeling, Analysis And Optimization by : Hoang Pham

Download or read book Reliability Modeling, Analysis And Optimization written by Hoang Pham and published by World Scientific. This book was released on 2006-06-26 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: As our modern information-age society grows in complexity both in terms of embedded systems and applications, the problems and challenges in reliability become ever more complex. Bringing together many of the leading experts in the field, this volume presents a broad picture of current research on system modeling and optimization in reliability and its applications.The book comprises twenty-three chapters organized into four parts: Reliability Modeling, Software Quality Engineering, Software Reliability, and Maintenance and Inspection Policies. These sections cover a wide range of important topics, including system reliability modeling, optimization, software reliability and quality, maintenance theory and inspection, reliability failure analysis, sampling plans and schemes, software development processes and improvement, stochastic process modeling, statistical distributions and analysis, fault-tolerant performance, software measurements and cost effectiveness, queueing theory and applications, system availability, reliability of repairable systems, testing sampling inspection, software capability maturity model, accelerated life modeling, statistical control, and HALT testing.

The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling

Author : Amit Kumar
Publisher : Academic Press
ISBN 13 : 0128231580
Total Pages : 522 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling by : Amit Kumar

Download or read book The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling written by Amit Kumar and published by Academic Press. This book was released on 2021-01-09 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling discusses the many factors affect reliability and performance, including engineering design, materials, manufacturing, operations, maintenance, and many more. Reliability is one of the fundamental criteria in engineering systems design, with maintenance serving as a way to support reliability throughout a system’s life. Addressing these issues requires information, modeling, analysis and testing. Different techniques are proposed and implemented to help readers analyze various behavior measures (in terms of the functioning and performance) of systems. Enables mathematicians to convert any process or system into a model that can be analyzed through a specific technique Examines reliability and mathematical modeling in a variety of disciplines, unlike competitors which typically examine only one Includes a table of contents with simple to complex examples, starting with basic models and then refining modeling approaches step-by-step

Repairable Systems Reliability Analysis

Author : Rajiv Nandan Rai
Publisher : John Wiley & Sons
ISBN 13 : 1119526272
Total Pages : 400 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Repairable Systems Reliability Analysis by : Rajiv Nandan Rai

Download or read book Repairable Systems Reliability Analysis written by Rajiv Nandan Rai and published by John Wiley & Sons. This book was released on 2020-10-20 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an application-oriented framework for reliability modeling and analysis of repairable systems in conjunction with the procurement process of weapon systems and throughput analysis for industries. Most of the reliability literature is directed towards non-repairable systems, that is, systems that fail are discarded or replaced. This book is mainly dedicated towards providing coverage to the reliability modeling and analysis of repairable systems that undergo failure-repair cycles. This unique book provides a comprehensive framework for the modeling and analysis of repairable systems considering both the non-parametric and parametric approaches to deal with their failure data. The book presents MCF based non-parametric approach with several illustrative examples and the generalized renewal process (GRP) based arithmetic reduction of age (ARA) models along with its applications to the systems failure data from the aviation industry. A complete chapter on an integrated framework for procurement process is devoted by utilizing the concepts of multi-criteria decision-making (MCDM) techniques which will of a great assistance to the readers in enhancing the potential of their respective organizations. This book also presents FMEA methods tailored for GRP based repairs. This text has primarily emerged from the industrial experience and research work of the authors. A number of illustrations have been included to make the subject lucid and vivid even to the readers who are relatively new to this area. Besides, various examples have been provided to display the applicability of presented models and methodologies to assist the readers in applying the concepts presented in this book.

Safety and Reliability of Complex Engineered Systems

Author : Luca Podofillini
Publisher : CRC Press
ISBN 13 : 1315648415
Total Pages : 730 pages
Book Rating : 4.3/5 (156 download)

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Book Synopsis Safety and Reliability of Complex Engineered Systems by : Luca Podofillini

Download or read book Safety and Reliability of Complex Engineered Systems written by Luca Podofillini and published by CRC Press. This book was released on 2015-09-03 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Safety and Reliability of Complex Engineered Systems contains the Proceedings of the 25th European Safety and Reliability Conference, ESREL 2015, held 7-10 September 2015 in Zurich, Switzerland. It includes about 570 papers accepted for presentation at the conference. These contributions focus on theories and methods in the area of risk, safety and

Multistate System Reliability with Dependencies

Author : Agnieszka Blokus
Publisher : Academic Press
ISBN 13 : 0128212608
Total Pages : 298 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Multistate System Reliability with Dependencies by : Agnieszka Blokus

Download or read book Multistate System Reliability with Dependencies written by Agnieszka Blokus and published by Academic Press. This book was released on 2020-04-13 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multistate System Reliability with Dependencies explains how to select a model of load sharing that best describes the impact of changes in reliability states of components. This is mainly achieved via a generalization of two-state system reliability analysis, where equal load sharing and local load sharing rules are commonly used. The material covers basic concepts of traditional reliability theory, including the concept of probability, failures, series and parallel systems, k-out-of-n systems, and more. It features cutting-edge theorems on the reliability analysis of multistate systems that take into account component degradation and dependencies between subsystems and components in subsystems. Other themes addressed include renewable systems and the availability analysis of multistate systems. Combining results of the reliability analysis of multistate systems with dependent components and the results of the classical renewal theory, the availability analysis of multistate systems under the assumption of imperfect renovation is also provided. Provides a thorough introduction to, and review of, recent research developments across multistate systems and systems with component dependencies Comprehensively addresses various manifestations of the load sharing system at component and system level, including models to describe them Explains how to evaluate the reliability and risk of systems with load-sharing effects

Reliability Analysis and Asset Management of Engineering Systems

Author : Gilberto Francisco Martha de Souza
Publisher : Elsevier
ISBN 13 : 0128235225
Total Pages : 316 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Reliability Analysis and Asset Management of Engineering Systems by : Gilberto Francisco Martha de Souza

Download or read book Reliability Analysis and Asset Management of Engineering Systems written by Gilberto Francisco Martha de Souza and published by Elsevier. This book was released on 2021-09-24 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliability Analysis and Asset Management of Engineering Systems explains methods that can be used to evaluate reliability and availability of complex systems, including simulation-based methods. The increasing digitization of mechanical processes driven by Industry 4.0 increases the interaction between machines and monitoring and control systems, leading to increases in system complexity. For those systems the reliability and availability analyses are increasingly challenging, as the interaction between machines has become more complex, and the analysis of the flexibility of the production systems to respond to machinery failure may require advanced simulation techniques. This book fills a gap on how to deal with such complex systems by linking the concepts of systems reliability and asset management, and then making these solutions more accessible to industry by explaining the availability analysis of complex systems based on simulation methods that emphasise Petri nets. Explains how to use a monitoring database to perform important tasks including an update of complex systems reliability Shows how to diagnose probable machinery-based causes of system performance degradation by using a monitoring database and reliability estimates in an integrated way Describes practical techniques for the application of AI and machine learning methods to fault detection and diagnosis problems

Reliability and Optimal Maintenance

Author : Hongzhou Wang
Publisher : Springer Science & Business Media
ISBN 13 : 1846283256
Total Pages : 353 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Reliability and Optimal Maintenance by : Hongzhou Wang

Download or read book Reliability and Optimal Maintenance written by Hongzhou Wang and published by Springer Science & Business Media. This book was released on 2006-09-27 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the authors’ research, Reliability and Optimal Maintenance presents the latest theories and methods of reliability and maintenance with an emphasis on multi-component systems, while also considering current hot topics in reliability and maintenance including: imperfect repair, economic dependence and opportunistic maintenance, and correlated failure and repair. Software reliability and maintenance cost, and warranty cost considerations are also considered.

A Framework to Model Reliability and Failures in Complex Systems During the Early Engineering Design Process

Author : Bryan M. O'Halloran
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.:/5 (847 download)

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Book Synopsis A Framework to Model Reliability and Failures in Complex Systems During the Early Engineering Design Process by : Bryan M. O'Halloran

Download or read book A Framework to Model Reliability and Failures in Complex Systems During the Early Engineering Design Process written by Bryan M. O'Halloran and published by . This book was released on 2013 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: An open area of research in complex systems is to move reliability and failure assessments earlier in the engineering design process. When compared to later design, early decisions are cost effective and have a large impact on the system. Standard methods are limited by the availability of data and often rely on detailed representations of the system. This dissertation will focus on this need by developing an Early Design Reliability and Failure Modeling framework. This framework presents a suite of engineering design methods used to assess reliability and failure modes during the early design process. Several instances are provided to show how specialized data sets can be developed that are specific to early design applications. Specific importance in this dissertation will be placed on design theory and methodology to support decision making. Overall these methods address important early design considerations including the automated identification and mitigation of high-occurrence failure modes, the abstraction level of failure modes and mechanisms, quantifying uncertainty and functional reliability, a customer's risk of losing functionality, a system's risk to a set of failure modes, and the behavior modeling of important failure modes.

Reliability and Risk Modeling of Engineering Systems

Author : Dilbagh Panchal
Publisher : Springer Nature
ISBN 13 : 3030701514
Total Pages : 165 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Reliability and Risk Modeling of Engineering Systems by : Dilbagh Panchal

Download or read book Reliability and Risk Modeling of Engineering Systems written by Dilbagh Panchal and published by Springer Nature. This book was released on 2021-05-21 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses reliability, maintenance, risk, and safety issues of industrial systems with applications of the latest decision-making techniques. Thus, this book presents chapters that apply advanced tools, techniques, and computing models for optimizing the performance of industrial and manufacturing systems, along with other complex engineering equipment. Computing techniques like data analytics, failure mode and effects analysis, fuzzy set theory, petri-net, multi-criteria decision-making (MCDM), and soft computing are used for solving problems of reliability, risk, and safety related issues.

Compact Reliability and Maintenance Modeling of Complex Repairable Systems

Author : Rene Cristian Valenzuela Vega
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Compact Reliability and Maintenance Modeling of Complex Repairable Systems by : Rene Cristian Valenzuela Vega

Download or read book Compact Reliability and Maintenance Modeling of Complex Repairable Systems written by Rene Cristian Valenzuela Vega and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Maintenance models are critical for evaluation of the alternative maintenance policies for modern engineering systems. A poorly selected policy can result in excessive life-cycle costs as well as unnecessary risks for catastrophic failures of the system. Economic dependence refers to the difference between the cost of combining the maintenance of a number of components and the cost of performing the same maintenance actions individually. Maintenance that takes advantage of this difference is often called opportunistic. Large number of components and economic inter-dependence are two pervasive characteristics of modern engineering systems that make the modeling of their maintenance processes particularly challenging. Simulation is able to handle both of these characteristics computationally, but the complexity, especially from the model verification perspective, becomes overwhelming as the number of components increases. This research introduces a new procedure for maintenance models of multi-unit repairable systems with economic dependence among its components and under opportunistic maintenance policies. The procedure is based on the stochastic Petri net with aging tokens modeling framework and it makes use of a component-level model approach to overcome the state explosion of the model combined with a novel order-reduction scheme that effectively combines the impact of other components into a single distribution. The justification for the used scheme is provided, the accuracy is assessed, and applications for the systems of realistic complexity are considered.