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1

Naserabadi, Bahar, Abolfazl Mirzazadeh, and Sara Nodoust. "A New Mathematical Inventory Model with Stochastic and Fuzzy Deterioration Rate under Inflation." Chinese Journal of Engineering 2014 (August 14, 2014): 1–10. http://dx.doi.org/10.1155/2014/347857.

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This paper develops an inventory model for items with uncertain deterioration rate, time-dependent demand rate with nonincreasing function, and allowable shortage under fuzzy inflationary situation. The goods are not deteriorating upon reception, but the deteriorating starts after elapsing a specified time. The lead time and inflation rate are both uncertain in the model. The resultant effect of inflation and time value of money is assumed to be fuzzy in nature and also we consider lead time as a fuzzy function of order quantity. Furthermore the following different deterioration rates have bee
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2

Zhou, Binghai, Faqun Qi, and Hongyu Tao. "Condition-based maintenance modeling for a two-stage deteriorating system with random changes based on stochastic process." Journal of Quality in Maintenance Engineering 23, no. 4 (2017): 383–99. http://dx.doi.org/10.1108/jqme-11-2015-0061.

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Purpose The purpose of this paper is to develop a condition-based maintenance (CBM) model for those systems subject to the two-stage deterioration including a deterioration pitting initiation process and a deterioration pitting growth process. Design/methodology/approach Regarding environmental changes as random shocks, the effect of environmental changes on the deterioration process is considered. Then, non-homogeneous Poison process and non-stationary gamma process are introduced to model the deterioration pitting initiation process and the deterioration pitting growth process, respectively.
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3

Vale, Cecília, and Isabel M. Ribeiro. "RAILWAY CONDITION-BASED MAINTENANCE MODEL WITH STOCHASTIC DETERIORATION." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 20, no. 5 (2014): 686–92. http://dx.doi.org/10.3846/13923730.2013.802711.

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The application of mathematical programming for scheduling preventive maintenance in railways is relatively new. This paper presents a stochastic mathematical model designed to optimize and to predict tamping operations in ballasted tracks as preventive condition-based maintenance. The model is formulated as a mixed 0–1 nonlinear program that considers real technical aspects as constraints: the reduction of the geometrical track quality over time is characterized by the deterioration rate of the standard deviation of the longitudinal level; the track layout; the dependency of the track recover
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4

Langeron, Yves, Antoine Grall, and Anne Barros. "Joint maintenance and controller reconfiguration policy for a gradually deteriorating control system." Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 231, no. 4 (2017): 339–49. http://dx.doi.org/10.1177/1748006x17692155.

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This paper tackles the maintenance decision-making of gradually deteriorating control systems. The main feature of these systems is their ability within a closed-loop to drive actuators in order to set the controlled process in a given state. Usually, the existing literature deals with the diagnosis of faults of a control system and the means to recover system performances after their appearance. The controller reconfiguration is one of these means. The root cause of a fault is rarely argued nor its occurrence time. Before designing maintenance policies, this paper proposes a stochastic modeli
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5

Li, Junxiang, Jianqiao Chen, and Zhiqiang Chen. "A new cumulative damage model for time-dependent reliability analysis of deteriorating structures." Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 234, no. 2 (2019): 290–302. http://dx.doi.org/10.1177/1748006x19886157.

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Performance and reliability of structures will deteriorate with the effects of loads, environment, and interior factors of materials. In this article, a novel cumulative damage model is developed for time-dependent reliability analysis of deteriorating structures. The deterioration is a combination of three stochastic processes: the gradual deterioration posed by aging effects, the sudden deterioration caused by transient loads, and the additional deterioration introduced by sustained loads. The aging effect is modeled as a gamma process, while the transient load is described by a Poisson proc
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6

Maes, Marc A. "Updating Performance and Reliability of Concrete Structures Using Discrete Empirical Bayes Methods." Journal of Offshore Mechanics and Arctic Engineering 124, no. 4 (2002): 239–44. http://dx.doi.org/10.1115/1.1491973.

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When performing a probabilistic assessment of the reliability of deteriorating structures, we often need to integrate the results of different inspections in time, within the models used to analyze the progress of deterioration. A new framework is described in this paper. It rests on a special case of the empirical Bayes method where the non-observable parameter is a discrete random variable with a relatively small number of outcomes. Various likelihood functions are derived. They are based on mixtures of deterioration scenarios. It is shown how the method can be used to calibrate the response
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7

Filina-Dawidowicz, Ludmiła, and Mykhaylo Postan. "Stochastic model of deteriorating cargo transshipment at port’s terminal under irregular arrival of ships." SHS Web of Conferences 58 (2018): 01010. http://dx.doi.org/10.1051/shsconf/20185801010.

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In the article the stochastic model is analyzed for deteriorating cargo transshipment taking into account the irregularity of arrived ships movement and cargo removing from warehouse with the regular surface transport. It is assumed that unloading rate of ships is given and fixed, but hold capacities of ships are randomly varying. During storage the cargo is subjected to deterioration with the given intensity. The problem of stationary probabilistic joint distribution of number of ships in terminal and quantity of cargo in warehouse is investigated. For this purpose the theory of Markov drift
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8

Jia, Gaofeng, and Paolo Gardoni. "State-dependent stochastic models: A general stochastic framework for modeling deteriorating engineering systems considering multiple deterioration processes and their interactions." Structural Safety 72 (May 2018): 99–110. http://dx.doi.org/10.1016/j.strusafe.2018.01.001.

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9

Mandal, Dr Biswaranjan. "An Inventory Model For Weibull Distributed Deteriorating Items With Stochastic Demand And TimeVarying Holding Cost." IOSR Journal of Mathematics 20, no. 6 (2024): 50–57. https://doi.org/10.9790/0661-2006015057.

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In the present paper, we deal with an inventory model for deteriorating items with stochastic demand in which shortages are allowed with fully backlogged. The holding cost follows the linear trended in time. Here rate of deterioration follows a two-parameter Weibull (Swedish engineer Wallodi Weibull) distribution. The demand pattern is assumed to be linearly dependent on to time with a stochastic error. The model is maximized to the total average profit by finding optimal values. The developed model is illustrated by a numerical example and finally the sensitivity analysis for the optimal solu
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10

Ebrahimi, Nader. "A stochastic covariate failure model for assessing system reliability." Journal of Applied Probability 38, no. 3 (2001): 761–67. http://dx.doi.org/10.1239/jap/1005091039.

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Many failure mechanisms can be traced to an underlying deterioration process, and stochastically changing covariates may influence this process. In this paper we propose an alternative model for assessing a system's reliability. The proposed model expresses the failure time of a system in terms of a deterioration process and covariates. When it is possible to measure deterioration as well as covariates, our model provides more information than failure time for the purpose of assessing and improving system reliability. We give several properties of our proposed model and also provide an example
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11

Ebrahimi, Nader. "A stochastic covariate failure model for assessing system reliability." Journal of Applied Probability 38, no. 03 (2001): 761–67. http://dx.doi.org/10.1017/s002190020001891x.

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Many failure mechanisms can be traced to an underlying deterioration process, and stochastically changing covariates may influence this process. In this paper we propose an alternative model for assessing a system's reliability. The proposed model expresses the failure time of a system in terms of a deterioration process and covariates. When it is possible to measure deterioration as well as covariates, our model provides more information than failure time for the purpose of assessing and improving system reliability. We give several properties of our proposed model and also provide an example
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12

Ahmed, Reem, Tarek Zayed, and Fuzhan Nasiri. "A Hybrid Genetic Algorithm-Based Fuzzy Markovian Model for the Deterioration Modeling of Healthcare Facilities." Algorithms 13, no. 9 (2020): 210. http://dx.doi.org/10.3390/a13090210.

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Healthcare facilities are constantly deteriorating due to tight budgets allocated to the upkeep of building assets. This entails the need for improved deterioration modeling of such buildings in order to enforce a predictive maintenance approach that decreases the unexpected occurrence of failures and the corresponding downtime elapsed to repair or replace the faulty asset components. Currently, hospitals utilize subjective deterioration prediction methodologies that mostly rely on age as the sole indicator of degradation to forecast the useful lives of the building components. Thus, this pape
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13

Kumar, Ramesh, Daren B. H. Cline, and Paolo Gardoni. "A stochastic framework to model deterioration in engineering systems." Structural Safety 53 (March 2015): 36–43. http://dx.doi.org/10.1016/j.strusafe.2014.12.001.

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14

Ohlmann, Jeffrey W., and James C. Bean. "Resource-constrained management of heterogeneous assets with stochastic deterioration." European Journal of Operational Research 199, no. 1 (2009): 198–208. http://dx.doi.org/10.1016/j.ejor.2008.11.005.

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15

Prakash, Om, A. R. Roy, and A. Goswami. "Stochastic manufacturing system with process deterioration and machine breakdown." International Journal of Systems Science 45, no. 12 (2013): 2539–51. http://dx.doi.org/10.1080/00207721.2013.773469.

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16

Straub, Daniel. "Stochastic Modeling of Deterioration Processes through Dynamic Bayesian Networks." Journal of Engineering Mechanics 135, no. 10 (2009): 1089–99. http://dx.doi.org/10.1061/(asce)em.1943-7889.0000024.

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17

Morcous, George, and Zoubir Lounis. "Integration of stochastic deterioration models with multicriteria decision theory for optimizing maintenance of bridge decks." Canadian Journal of Civil Engineering 33, no. 6 (2006): 756–65. http://dx.doi.org/10.1139/l06-011.

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This paper presents a new approach to optimizing the maintenance of concrete bridge decks. This approach combines a stochastic deterioration model and a multiobjective optimization model. The stochastic deterioration model is based on the first-order Markov chain, which predicts the probabilistic time variation of bridge deck conditions. The multiobjective optimization model takes into account two important and conflicting criteria: the minimization of maintenance costs and the maximization of the network condition. This approach achieves the best compromise between these competing criteria wh
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18

Zhang, Yuanyuan. "A Review of Research on The Reliability Assessment of Fresh Product Distribution Networks Considering Product Perishability Constraint." Frontiers in Business, Economics and Management 15, no. 1 (2024): 373–77. http://dx.doi.org/10.54097/jzsajp09.

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A reliable and stable distribution network is fundamental for the effective operation of fresh agricultural product logistics, and network reliability is a crucial metric for determining whether fresh agricultural product logistics can complete specified tasks promptly and smoothly. To further clarify the current research status on the reliability of fresh agricultural product distribution networks considering transportation losses, this study reviews the literature from three aspects: research on transportation losses of fresh agricultural products, reliability of stochastic distribution netw
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19

Levitin, Gregory, and Maxim Finkelstein. "A new stress–strength model for systems subject to stochastic shocks." Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 231, no. 2 (2017): 172–79. http://dx.doi.org/10.1177/1748006x16689543.

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A new general approach for obtaining system survival probability under the Poisson shock process is suggested. It takes into account the explicitly defined distribution of shock magnitude (stress) and system strength deterioration caused by the previous shocks. The approach can be used for any form of stress distribution, strength deterioration function and stress–strength interplay model. Specifically, we use the contest success function to model the stress–strength interplay and a cumulative stress ratio form function to represent strength deterioration. Numerical examples illustrating the o
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20

Lee, Cheol-Eung. "Simplified Method for Estimation of Mean Residual Life of Rubble-mound Breakwaters." Journal of Korean Society of Coastal and Ocean Engineers 34, no. 2 (2022): 37–45. http://dx.doi.org/10.9765/kscoe.2022.34.2.37.

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A simplified model using the lifetime distribution has been presented to estimate the Mean Residual Life (MRL) of rubble-mound breakwaters, which is not like a stochastic process model based on time-dependent history data to the cumulative damage progress of rubble-mound breakwaters. The parameters involved in the lifetime distribution can be easily estimated by using the upper and lower limits of lifetime and their likelihood that made a judgement by several experts taking account of the initial design lifetime, the past sequences of loads, and others. The simplified model presented in this p
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21

CASTANIER, BRUNO, ANTOINE GRALL, and CHRISTOPHE BÉRENGUER. "A STOCHASTIC MODEL FOR HYBRID MAINTENANCE POLICIES EVALUATION AND OPTIMIZATION." International Journal of Reliability, Quality and Safety Engineering 08, no. 03 (2001): 233–48. http://dx.doi.org/10.1142/s0218539301000499.

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We propose a hybrid maintenance policy which combines periodic (age-based or time-based) regulation-based inspections with aperiodic condition-based inspection/replacements for a stochastically and gradually deteriorating system. The stationary laws of the deterioration state of the maintained system are derived in order to evaluate the long-run average running cost on an infinite span generated by the proposed combined policy. A computable expression of the average cost is established using the regenerative or semi-regenerative properties of the stochastic process describing the maintained sy
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22

Jia, Gaofeng, and Paolo Gardoni. "Stochastic life-cycle analysis: renewal-theory life-cycle analysis with state-dependent deterioration stochastic models." Structure and Infrastructure Engineering 15, no. 8 (2019): 1001–14. http://dx.doi.org/10.1080/15732479.2019.1590424.

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23

KOBAYASHI, Kiyoshi, Kiyoyuki KAITO, Kengo OBAMA, Rentaro HAYASHI, and Wataru FUKATANI. "STOCHASTIC DETERIORATION FRONTIER ANALYSIS FOR EFFICIENCY EVALUATION OF MANAGEMENT BODIES." Journal of Japan Society of Civil Engineers, Ser. D3 (Infrastructure Planning and Management) 72, no. 2 (2016): 173–90. http://dx.doi.org/10.2208/jscejipm.72.173.

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24

Chang, Minwoo, Marc Maguire, and Yan Sun. "Stochastic Modeling of Bridge Deterioration Using Classification Tree and Logistic Regression." Journal of Infrastructure Systems 25, no. 1 (2019): 04018041. http://dx.doi.org/10.1061/(asce)is.1943-555x.0000466.

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25

Manafpour, Amir, Ilgin Guler, Aleksandra Radlińska, Farshad Rajabipour, and Gordon Warn. "Stochastic Analysis and Time-Based Modeling of Concrete Bridge Deck Deterioration." Journal of Bridge Engineering 23, no. 9 (2018): 04018066. http://dx.doi.org/10.1061/(asce)be.1943-5592.0001285.

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26

Han, Daeseok. "Stochastic Disaggregation and Aggregation of Localized Uncertainty in Pavement Deterioration Process." Journal of The Korean Society of Civil Engineers 33, no. 4 (2013): 1651–64. http://dx.doi.org/10.12652/ksce.2013.33.4.1651.

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27

Bu, G. P., J. B. Son, J. H. Lee, H. Guan, M. Blumenstein, and Y. C. Loo. "Typical deterministic and stochastic bridge deterioration modelling incorporating backward prediction model." Journal of Civil Structural Health Monitoring 3, no. 2 (2013): 141–52. http://dx.doi.org/10.1007/s13349-013-0044-5.

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28

Eryilmaz, Serkan. "Parallel and consecutive-k-out-of-n:F systems under stochastic deterioration." Applied Mathematics and Computation 227 (January 2014): 19–26. http://dx.doi.org/10.1016/j.amc.2013.10.081.

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29

Zhou, Yanxun, Yimin Zhang, and Guo Yao. "Stochastic forced vibration analysis of a tapered beam with performance deterioration." Acta Mechanica 228, no. 4 (2016): 1393–406. http://dx.doi.org/10.1007/s00707-016-1764-5.

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30

Glazebrook, K. D. "Single-machine scheduling of stochastic jobs subject to deterioration or delay." Naval Research Logistics 39, no. 5 (1992): 613–33. http://dx.doi.org/10.1002/1520-6750(199208)39:5<613::aid-nav3220390503>3.0.co;2-p.

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31

Allaix, D. L., V. I. Carbone, and Giuseppe Mancini. "Stochastic Perturbation Analysis of Deteriorated Structures." Advanced Materials Research 905 (April 2014): 296–99. http://dx.doi.org/10.4028/www.scientific.net/amr.905.296.

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The paper addresses a generalized perturbation method for the uncertainty analysis of concrete structures subject to reinforcement corrosion. The initiation phase is modelled by the well known Ficks 2ndlaw of diffusion. Deterioration models derived from experimental studies and a non-linear finite element (FE) model are used to simulate the structural behaviour of beams from the serviceability to the ultimate conditions. The time of corrosion initiation and the failure load are expressed by a Taylor series expansion about the origin of the space of independent standard normal random variables.
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32

Zhang, Bangcheng, Yubo Shao, Zhenchen Chang, Zhongbo Sun, and Yuankun Sui. "A Stochastic Deterioration Process Based Approach for Micro Switches Remaining Useful Life Estimation." Applied Sciences 9, no. 3 (2019): 613. http://dx.doi.org/10.3390/app9030613.

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Real-time prediction of remaining useful life (RUL) is one of the most essential works inprognostics and health management (PHM) of the micro-switches. In this paper, a lineardegradation model based on an inverse Kalman filter to imitate the stochastic deterioration processis proposed. First, Bayesian posterior estimation and expectation maximization (EM) algorithm areused to estimate the stochastic parameters. Second, an inverse Kalman filter is delivered to solvethe errors in the initial parameters. In order to improve the accuracy of estimating nonlinear data,the strong tracking filtering (
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33

Semaan, Nabil, and Youssef Dib. "Comparison between the predicted performance curve and the Markov Chain models for structural performance of infrastructure components." MATEC Web of Conferences 289 (2019): 08006. http://dx.doi.org/10.1051/matecconf/201928908006.

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This paper compares the PPC model to a Markov Chain (MC) stochastic deterioration model. First, inspection data from the Société de Transport de Montréal (STM) is gathered and analyzed. Then Transition Probability Matrices (TPM) are developed, and, using Matlab, MC deterioration curves are developed. Comparison between MC and the PPC deterioration curves is performed for subway station walls and slabs. The comparison has shown that the useful service life can be as low as 2 years for components having many inspection history records, and very high as 30 years for components having very few ins
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34

Benkherouf, Lakdere, and Lakhdar Aggoun. "ON A STOCHASTIC INVENTORY MODEL WITH DETERIORATION AND STOCK-DEPENDENT DEMAND ITEMS." Probability in the Engineering and Informational Sciences 16, no. 2 (2002): 151–65. http://dx.doi.org/10.1017/s0269964802162024.

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In this article, we propose a new continuous-time stochastic inventory model with deterioration and stock-dependent demand items. We then formulate the problem of finding the optimal impulse control schedule that minimizes the total expected return over an infinite horizon, as a quasivariational inequality (QVI) problem. The QVI is shown to lead to an (s, S) policy, where s and S are determined uniquely as a solution of some algebraic equations.
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35

CHUN, Pang-jo, Daisuke SETO, and Mitao OHGA. "Derivation of deterioration prediction interval with stochastic Markov Chain model and Bayes estimation of individual deterioration characteristics of bridge." Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 68, no. 2 (2012): I_771—I_781. http://dx.doi.org/10.2208/jscejam.68.i_771.

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36

Hanpasith, Souvikhane, Felix Obunguta, Kotaro Sasai, and Kiyoyuki Kaito. "Optimization Framework for ASIAN and National Road Networks in Lao PDR Using the Stochastic Markov Model." Civil Engineering Journal 11, no. 5 (2025): 2134–49. https://doi.org/10.28991/cej-2025-011-05-023.

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Developing effective road network management is crucial for the socioeconomic development of developing countries, particularly the Lao People’s Democratic Republic (Lao PDR or Laos). The current road maintenance system in Lao PDR uses a traditional reactive maintenance approach, addressing road deterioration only after the condition reaches a critical state. This study proposes a stochastic Markov Decision Process (MDP) framework to enhance traditional road management practices. The proposed MDP framework shifts from a conventional reactive to a proactive strategy by considering probabilistic
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37

Mandal, Dr Biswaranjan. "Optimal InventoryManagement for Deteriorating and Ameliorating Items with Stochastic Demand and Time-varying Holding Cost." International Journal of Advances in Engineering and Management 7, no. 1 (2025): 588–96. https://doi.org/10.35629/5252-0701588596.

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The present paper deals with an optimal inventory management for deteriorating and ameliorating items with stochasticdemand in which shortages are allowed withfully backlogged. The holding cost follows time dependent. Here deterioration is timevarying and the environment of amelioration followedby a two-parameter Weibull (Swedish engineer Wallodi Weibull) distribution to describe the different life spans effectively by utilizing the changes of the parameters. The demand pattern is assumed to be linearly dependent on to time with a stochastic error. The model is minimized to the total average c
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38

Cao, Xiangang, Pengfei Li, and Song Ming. "Remaining Useful Life Prediction-Based Maintenance Decision Model for Stochastic Deterioration Equipment under Data-Driven." Sustainability 13, no. 15 (2021): 8548. http://dx.doi.org/10.3390/su13158548.

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Currently, the Remaining Useful Life (RUL) prediction accuracy of stochastic deterioration equipment is low. Existing researches did not consider the impact of imperfect maintenance on equipment degradation and maintenance decisions. Therefore, this paper proposed a remaining useful life prediction-based maintenance decision model under data-driven to extend equipment life, promoting sustainable development. The stochastic degradation model was established based on the nonlinear Wiener process. A combination of real-time update and offline estimation estimated the degradation model’s parameter
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39

Nanda, Asok K., and Amarjit Kundu. "On Improvement and Deterioration of A Repairable System Under Generalized Stochastic Orders." Calcutta Statistical Association Bulletin 63, no. 1-4 (2011): 259–72. http://dx.doi.org/10.1177/0008068320110114.

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40

Tan, Yang, and Michael X. Weng. "Optimal stochastic inventory control with deterioration and partial backlogging/service-level constraints." International Journal of Operational Research 16, no. 2 (2013): 241. http://dx.doi.org/10.1504/ijor.2013.051785.

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41

Hasan, Sahar, and Emad Elwakil. "Stochastic regression deterioration models for superstructure of prestressed concrete bridges in California." Journal of Structural Integrity and Maintenance 4, no. 2 (2019): 97–108. http://dx.doi.org/10.1080/24705314.2019.1603194.

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42

Le Son, Khanh, Mitra Fouladirad, Anne Barros, Eric Levrat, and Benoît Iung. "Remaining useful life estimation based on stochastic deterioration models: A comparative study." Reliability Engineering & System Safety 112 (April 2013): 165–75. http://dx.doi.org/10.1016/j.ress.2012.11.022.

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43

Shahraki, Mohammad Reza. "Developing an Inventory Mathematical Model with Deterioration Variables for Discounted Stochastic Goods." Indian Journal of Science and Technology 7, no. 11 (2014): 1750–55. http://dx.doi.org/10.17485/ijst/2014/v7i11.13.

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44

Sazvar, Zeinab, Mohammad Reza Akbari Jokar, and Armand Baboli. "A new order splitting model with stochastic lead times for deterioration items." International Journal of Systems Science 45, no. 9 (2013): 1936–54. http://dx.doi.org/10.1080/00207721.2012.759301.

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45

Pellerey, Franco, and Patrizia Semeraro. "Ageing and stochastic comparisons for a covariate failure model." Journal of Applied Probability 39, no. 2 (2002): 421–25. http://dx.doi.org/10.1239/jap/1025131439.

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Ebrahimi (2001) proposes an interesting model for assessing a system's reliability, expressing the failure time of the system in terms of a deterioration process and covariates. He also provides illustrative examples and gives some properties of the model. In this note, we give conditions for negative ageing of the system's lifetime, and we correct one of his statements. Moreover, for the lifetimes of two systems of the same kind, some stochastic comparisons are presented.
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46

Pellerey, Franco, and Patrizia Semeraro. "Ageing and stochastic comparisons for a covariate failure model." Journal of Applied Probability 39, no. 02 (2002): 421–25. http://dx.doi.org/10.1017/s0021900200022646.

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Ebrahimi (2001) proposes an interesting model for assessing a system's reliability, expressing the failure time of the system in terms of a deterioration process and covariates. He also provides illustrative examples and gives some properties of the model. In this note, we give conditions for negative ageing of the system's lifetime, and we correct one of his statements. Moreover, for the lifetimes of two systems of the same kind, some stochastic comparisons are presented.
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47

Nazemi, Ehsan, and Kamran Shahanaghi. "Developing an Inspection Optimization Model Based on the Delay-Time Concept." Journal of Industrial Engineering 2015 (July 2, 2015): 1–7. http://dx.doi.org/10.1155/2015/843137.

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Infrastructures are considered as important facilities required for every country and society to be able to work properly. Aging and deterioration of such structures during their lifetime are a major concern both for maintenance researchers in the academic world and for the practitioners. This concern is mainly because the deterioration increases the maintenance costs dramatically and lowers the reliability, availability, and safety of the structural system. Preventive maintenance and inspection activities are the most usual means for keeping the structure in a good condition. This paper utili
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48

Wang, Cao. "Resistance Assessment of Service-Proven Aging Bridges Incorporating Deterioration-Load Dependency." Infrastructures 5, no. 1 (2020): 10. http://dx.doi.org/10.3390/infrastructures5010010.

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The historical vehicles passed through an existing bridge can be regarded as proof-loading tests for the bridge, and, as a result, are evident of the bridge’s performance. Such service history information has been utilized to update the estimate of bridge resistance in previous studies with the help of a Bayesian method, where the resistance deterioration process was assumed to be independent of the vehicle load process. This assumption is, however, untenable in many cases where the deterioration stochastic process is statistically correlated with the load process (e.g., a greater load intensi
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Wang, Xiaojun, Shan Li, and Yiyan Lu. "Stochastic modeling for bond deterioration between rebar and concrete due to reinforcement corrosion." Structures 66 (August 2024): 106904. http://dx.doi.org/10.1016/j.istruc.2024.106904.

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Childress, Suzanne, and Pablo Durango-Cohen. "On parallel machine replacement problems with general replacement cost functions and stochastic deterioration." Naval Research Logistics 52, no. 5 (2005): 409–19. http://dx.doi.org/10.1002/nav.20088.

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