A time-shared machine repair problem with mixed spares under N-policy

Jain, Madhu; Shekhar, Chandra; Shukla, Shalini

doi:10.1007/s40092-015-0136-4

Cited by 13 publications

(5 citation statements)

References 39 publications

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“…(3) A life cycle 𝜙𝜙 𝑖𝑖 includes k-1 imperfect maintenance cycles and one replacement cycle [9]. There is no maintenance delay for maintenance.…”

Section: Model Assumptionsmentioning

confidence: 99%

Maintenance Decision Optimization of Multi-State System Considering Imperfect Maintenance

2022

IEIM

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In the maintenance decision-making problem of a multi-state system, it is more in line with the actual situation to consider imperfect maintenance. However, under the influence of imperfect maintenance, the failure mechanism and maintenance process of the multi-state system are more complicated. Further discussion is needed about how to deal with the relationship between the states of various components and the overall state of the system, and how to make the optimal maintenance strategy. To address this issue, this paper proposes a multi-state system maintenance decision optimization method considering imperfect maintenance. Firstly, an imperfect maintenance model is established based on quasi-renewal theory. Secondly, the mapping relationship between the state of the components and the system is decoupled combining universal generating function with the non-homogeneous continuous-time Markov model, the reliability evaluation of the multi-state system is realized. Finally, the maintenance decision optimizing model considering imperfect maintenance is constructed, the optimal maintenance strategy of the multi-state system is obtained by optimizing the number of imperfect maintenance actions to maximize the expected benefit of the whole life cycle.

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“…(3) A life cycle 𝜙𝜙 𝑖𝑖 includes k-1 imperfect maintenance cycles and one replacement cycle [9]. There is no maintenance delay for maintenance.…”

Section: Model Assumptionsmentioning

confidence: 99%

Maintenance Decision Optimization of Multi-State System Considering Imperfect Maintenance

2022

IEIM

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“…A cost relationship was constructed by the Jain et al (2005) to determine the optimal threshold level of processors being active in order to gain maximum net profit for the time-shared service systems with queue-dependent processors. Jain et al (2016a, b) obtained the state probabilities for Markovian machine repair problem with spares operating under N -policy and time-sharing basis. To determine a service policy to maximize the long run reward rate earned from the serving customers in single-server queueing system with multiple classes and impatient customers, James et al .…”

Section: Research Backgroundmentioning

confidence: 99%

“…Recently, by taking an example, Yang and Chang (2015) showed that the queueing model can be applied in the automobile industry to demonstrate the practicability of F -policy queue with the fuzzy environment. The sensitivity analysis of various performance characteristics of Markov model was presented by Jain et al (2016a, b) for the performance prediction of the redundant system with working vacation policy and controllable F -policy. The interrelationship between the randomized F -policy and randomized N -policy was investigated by Goswami (2016) to analyze the queueing system with startup time.…”

Section: Research Backgroundmentioning

confidence: 99%

Optimal (N, F) policy for queue-dependent and time-sharing machining redundant system

Shekhar

Jain

Raina

et al. 2017

IJQRM

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Purpose The purpose of this paper is to study the performance metrics of redundant repairable machining system which is applicable in various systems like computer and communication system, manufacturing and production system, etc. Design/methodology/approach In the present investigation, the authors develop Markov model for the system consisting of identical active operating machines which are prone to breakdown. The operating machines are under the care of one permanent repair facility that provides time-sharing basis repair services. The maintenance is facilitated with the provision of standby machines of mixed type and permanent as well as additional repair facility. From the economic point of view, F-policy and N-policy to control the service and arrival of failed machines effectively are included. Findings For the performance analysis of the system in long run, the authors compute steady-state probabilities using product-type solution method recursively. Sensitivity analysis is performed numerically for various parameters by developing code in MATLAB. Social implications The performance prediction done may be helpful for the system designers and decision makers for the improvement of the existing machining systems in various industries. Originality/value Markovian model for the performance prediction of fault tolerant multi-identical operating and standby machines redundant system is developed in generic frameworks by incorporating many noble features which were not all taken together by other researchers working on the same lines. The key concepts incorporated for the modeling of the concerned system is: F-policy, N-policy, time-sharing, and sensitivity analysis of availability and cost function.

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“…It is an important type of finite source queueing system where the stopped servers can be replaced with another working one to ensure the continuity of the system's operation. Shekhar et al 1 – 3 and Jain et al 4 , 5 presented many classical models with some particular conditions to study the performance measures of the machine-repairing queueing systems. After the repairing process is done for the damaged unit (one of the stopped-working servers) by using the spares, it is replaced by another damaged one.…”

Section: Introductionmentioning

confidence: 99%

A probabilistic early fault detection model for a feedback machining system with multiple types of spares

El-Hadidy,

Elshenawy

2023

Sci Rep

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This paper studies corrective and preventive maintenance to provide a quality control policy. The corrective maintenance, depending on the time, of a feedback machining system model with a finite source and standbys is presented. Moreover, the system has a known number of servers to repair the damaged units, and it contains an inspector to ensure the maintenance quality of the repaired units. The exact value of the probability of n units in the system will be obtained by using an efficient algorithm that depends on the Laplace transformation. To promote the concept of preventive maintenance, we use this probability to get the probability of early fault detection as a function of time and in the steady state. The applicability of this model is discussed for different system capacities.

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A time-shared machine repair problem with mixed spares under N-policy

Cited by 13 publications

References 39 publications

Maintenance Decision Optimization of Multi-State System Considering Imperfect Maintenance

Maintenance Decision Optimization of Multi-State System Considering Imperfect Maintenance

Optimal (N, F) policy for queue-dependent and time-sharing machining redundant system

A probabilistic early fault detection model for a feedback machining system with multiple types of spares

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