Combined Redundancy Allocation and Maintenance Planning Using a Two-Stage Stochastic Programming Model for Multiple Component Systems

Bei, Xiaoqiang; Chatwattanasiri, Nida; Coit, David W.; Zhu, Xiaoyan

doi:10.1109/tr.2017.2715172

Cited by 32 publications

(7 citation statements)

References 21 publications

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“…A continuous-time Markov process model is proposed to maximize the system profitability per unit time subject to system availability and maintenance initiation threshold. Bei et al (2017) formulated a two-stage, scenario-based stochastic optimization model to allocate the component type, redundancy level, and maintenance time of a series-parallel system. Subject to uncertain future stress exposures, the first stage is to select the component type and redundancy, and the second-stage determines the replacement time with the goal of minimizing the system cost.…”

Section: Joint Decision On Reliability Redundancy and Maintenancementioning

confidence: 99%

Bridging reliability and operations management for superior system availability: Challenges and opportunities

Jin

2023

Front. Eng. Manag.

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Recently, firms have begun to handle the design, manufacturing, and maintenance of capital goods through a consolidated mechanism called the integrated product-service system. This new paradigm enables firms to deliver high-reliability products while lowering the ownership cost. Hence, holistic optimization models must be proposed for jointly allocating reliability, maintenance, and spare parts inventory across the entire value chain. In the existing literature, these decisions are often made fragmentally, thus resulting in local optimality. This study reviews the extant works pertaining to reliability-redundancy allocation, preventative maintenance, and spare parts logistics models. We discuss the challenges and opportunities of consolidating these decisions under an integrated reliability-maintenance-inventory framework for attaining superior system availability. Specific interest is focused on the new product introduction phase in which firms face a variety of uncertainties, including installed base, usage, reliability, and trade policy. The goal is to call for tackling the integrated reliability-maintenance-inventory allocation model under a nonstationary operating condition. Finally, we place the integrated allocation model in the semiconductor equipment industry and show how the firm deploys reliability initiatives and after-sale support logistics to ensure the fleet uptime for its global customers.

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Section: Joint Decision On Reliability Redundancy and Maintenancementioning

confidence: 99%

Bridging reliability and operations management for superior system availability: Challenges and opportunities

Jin

2023

Front. Eng. Manag.

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“…If for some k, Problem (13) is infeasible, then we define K k=1 ρ (k,n 2 ) (µ, x) := ∞. The SLSIP problem (12) and (13) can be equivalently written as a DSILP:…”

Section: B the Volumetric Barrier Problem For Slsipsmentioning

confidence: 99%

“…. ; y (K ) (µ), s (K ) (µ)) is the optimal solution of (14) if and only if (x(µ), s(µ)) is the optimal solution for (12) and (y (1)…”

Section: B the Volumetric Barrier Problem For Slsipsmentioning

confidence: 99%

Volumetric Barrier Cutting Plane Algorithms for Stochastic Linear Semi-Infinite Optimization

2020

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In this paper, we study the two-stage stochastic linear semi-infinite programming with recourse to handle uncertainty in data defining (deterministic) linear semi-infinite programming. We develop and analyze volumetric barrier cutting plane interior point methods for solving this class of optimization problems, and present a complexity analysis of the proposed algorithms. We establish our convergence analysis by showing that the volumetric barrier associated with the recourse function of stochastic linear semi-infinite programs is a strongly self-concordant barrier and forms a self-concordant family on the firststage solutions. The dominant terms in the complexity expressions obtained in this paper are given in terms of the problem dimension and the number of realizations. The novelty of our algorithms lies in their ability to kill the effect of the radii of the largest Euclidean balls contained in the feasibility sets on the dominant complexity terms. INDEX TERMS Semi-infinite programming, stochastic linear programming, interior-point methods, volumetric barrier, cutting plane.

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“…is research develops the study of [1][2][3]. As a novel contribution in the field of RAP, this study deals with the multiobjective optimization of redundancy allocation under maintenance with a sustainability approach.…”

Section: Introductionmentioning

confidence: 99%

Application of an Intelligent Hybrid Metaheuristic Algorithm for Multiobjective Redundancy Allocation Problem with Sustainable Maintenance

Tjahjono

Mavaluru

Fathima

et al. 2021

Mathematical Problems in Engineering

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The present study aimed to optimize the redundancy allocation problem based on sustainable maintenance. For this purpose, the goal is to design a complex system based on redundancy allocation by considering the weight and reliability criteria of the system and the maintenance and repair costs through the sustainability approach. In this regard, a mathematical model has been developed. This model minimizes system reliability and system weight simultaneously. There are also budget constraints on repair costs, environmental costs, purchase of spare parts, and energy risk costs. In order to optimize this model, a hybrid algorithm based on Whale Optimization Algorithm (WOA), Genetic Algorithm (GA), and Simulated Annealing (SA) is proposed. Accordingly, 81 test problems are provided and optimized by the proposed algorithm. The obtained numerical results indicate that, with increasing failure time of each component, the system’s reliability increases and the weight of the whole system increases. Moreover, changing the Weibull distribution parameters directly affects the total amount of system reliability, but does not have a definite and accurate effect on the total weight of the system. Moreover, increasing the budget for maintenance leads to finding solutions with more reliability and less weight.

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Combined Redundancy Allocation and Maintenance Planning Using a Two-Stage Stochastic Programming Model for Multiple Component Systems

Cited by 32 publications

References 21 publications

Bridging reliability and operations management for superior system availability: Challenges and opportunities

Bridging reliability and operations management for superior system availability: Challenges and opportunities

Volumetric Barrier Cutting Plane Algorithms for Stochastic Linear Semi-Infinite Optimization

Application of an Intelligent Hybrid Metaheuristic Algorithm for Multiobjective Redundancy Allocation Problem with Sustainable Maintenance

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