• Title/Summary/Keyword: repair cost distribution

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Preventive maintenance model with extended warranty (연장된 보증을 갖는 예방보전모형)

  • Jung, Ki Mun
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.773-781
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    • 2013
  • Recently, an extended warranty of the system following the expiration of the basic warranty is becoming increasingly popular to the user. In this respect, we suggest a preventive maintenance model following the expiration of extended warranty with minimal repair warranty from the user's point of view in this paper. Under basic warranty and extended warranty, the failed system is minimally repaired by the manufacturer at no cost to the user. For the preventive maintenance model, we derive the expressions for the expected cycle length, the expected total cost and the expected cost rate per unit time. Also, we determine the optimal preventive maintenance period and the optimal preventive maintenance number by minimizing the expected cost rate per unit time. Finally, the numerical examples are presented to illustrate the purpose when the failure time of the system has a Weibull distribution.

Performance Analysis of a Parallel System Having a Cold Standby Unit

  • Sharma, S.C.;Bae, S.;Baek, J.B.;Singh, K.P.
    • International Journal of Reliability and Applications
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    • v.8 no.1
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    • pp.67-82
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    • 2007
  • This paper deals with the effectiveness analysis of an engineering system, which has two units of different strengths in parallel and one unit as a cold standby unit. Failure times for all the units have negative exponential distribution whereas their repair times have general distribution. Single server caters the need for the system. The effectiveness analysis of the system is done by using regenerative point technique. The different measures of effectiveness such as mean sojourn time, mean time to system failure, availability, busy period, etc, are derived. Cost factors also taken into consideration.

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The optimal system for series systems with warm standby components and a repairable service station

  • Rashad, A.M.;El-Sherbeny, M.S.;Gharieb, D.M.
    • International Journal of Reliability and Applications
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    • v.11 no.2
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    • pp.89-106
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    • 2010
  • This paper deals with the reliability and availability characteristics of three different series system configurations with warm standby components and a repairable service station. The failure time of the primary and warm standby are assumed to be exponentially distributed with parameters ${\lambda}$ and ${\alpha}$ respectively. The repair time distribution of each server is also exponentially distributed with parameter ${\mu}$. The breakdown time and the repair time of the service station are also assumed exponentially distributed with parameters ${\gamma}$ and ${\beta}$ respectively. We derive the reliability dependent on time, availability dependent on time, the mean time to failure, $MTTF_i$, and the steady-state availability $A_i$(${\infty}$) for three configurations and perform comparisons. Comparisons are made for specific values of distribution parameters and of the cost of the components. The three configurations are ranked based on: $MTTF_i$, $A_i$(${\infty}$), and $C_i/B_i$ where $B_i$ is either $MTTF_i$ or $A_i$(${\infty}$).

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An Optimum Maintenance Policy : A bayesian approach to periodic incomplete preventive maintenance with minimal repair at failure

  • Park, Kwang-Su;Jun, Chi-Hyuck
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1997.10a
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    • pp.193-196
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    • 1997
  • In this paper we consider a Bayesian theoretic approach to periodic incomplete preventive maintenance with minimal repair at failure. We assume that the system failure rate is increasing as the frequency of PM increases and that the system is replaced at the K-th PM under this maintenance strategy. The optimal policies which minimize the expected cost rates are discussed. We seek the optimal periodic PM interval x and replacement time K under a Weibull failure intensity. Assuming suitable prior distribution for the Weibull parameters, we derive the posterior distribution incorporating failure data and obtain the updated optimal replacement strategies.

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Further Approximate Optimum Inspection Intervals

  • Leung, Kit-Nam Francis
    • Industrial Engineering and Management Systems
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    • v.4 no.2
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    • pp.123-128
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    • 2005
  • The author derives a general explicit formula and presents an heuristic algorithm for solving Baker’s model. The examples show that this new approximate solution procedure for determining near optimum inspection intervals is more accurate than the ones suggested by Chung (1993) and Vaurio (1994), and is more efficient computationally than the one suggested by Hariga (1996). The construction and solution of the simplest profit model for an exponential failure distribution were presented in Baker (1990), and approximate analytical results were obtained by Chung (1993) and Vaurio (1994). The author will therefore mainly devote the following discussion to the problem of further approximating optimum inspection intervals.

Reliability analysis of a complex system, attended by two repairmen with vacation under marked process with the application of copula

  • Tiwari, N.;Singh, S.B.;Ram, M.
    • International Journal of Reliability and Applications
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    • v.11 no.2
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    • pp.107-122
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    • 2010
  • This paper deals with the reliability analysis of a complex system, which consists of two subsystems A and B connected in series. Subsystem A has only one unit and B has two units $B_1$ and $B_2$. Marked process has been applied to model the complex system. Present reliability model incorporated two repairmen: supervisor and novice to repair the failed units. Supervisor is always there and the novice remains in vacation and is called for repair as per demand. The repair rates for supervisor and novice follow general and exponential distributions respectively and the failure time for both the subsystems follows exponential distribution. The model is analyzed under "Head of line repair discipline". By employing supplementary variable technique, Laplace transformation and Gumbel-Hougaard family of copula various transition state probabilities, reliability, availability and cost analysis have been obtained along with the steady state behaviour of the system. At the end some special cases of the system have been taken.

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Sensitivity Analysis of Burn-in Model considering Bimodal-Mixed Weibull Distribution under Free Warranty Policy (무료보증정책하에서 이봉-혼합 와이블 분포를 고려한 Burn-in 모형의 민감도 분석)

  • Song Suh-Ill;Jo Young-Chan;Park Hyun-Kyu;Shon Han-Deak
    • Proceedings of the Korean Society for Quality Management Conference
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    • 1998.11a
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    • pp.544-555
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    • 1998
  • Although the bimodal mixed weibull distribution is used to developing burn-in model widely, the failure times for a component or a system is often truncated at some time, T, due to the obsolescence in the electronics industry. In this paper, we will determine minimum total cost and burn-in time by using the bimodal mixed weibull distribution and the truncated bimodal mixed weibull distribution under the free warranty policy. The results of this study are summarized as follows. First, when products or system is not repairable, the width of the change of burn-in time can be larger by ${\beta}_1,\;{\beta}_2$ Second, if burn-in time become longer, it will be impossible to consider the bum-in in a long time, and in this case, the burn-in time should be shorten by the acceleration burn-in. Third, in case that opportunity loss cost or repair cost is exceed the warranty cost, or the total cost of considering burn-in is larger than that of not considering burn-in, it is not existed burn-in time which makes total cost to minimize. Forth, the shorter life-cycle of product, the more burn-in times will be decreased and the cost in considering burn-in will be increased

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Optimal Working Cycles for Minimal Repair Policy (정기교체 및 최소수리를 고려한 작업주기 횟수 최적화)

  • Lee, Jinpyo
    • Journal of Korean Society for Quality Management
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    • v.48 no.1
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    • pp.201-214
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    • 2020
  • Purpose: The purpose of this paper is to determine an optimal number of cycle times for the replacement under the circumstance where the system is replaced at the periodic time and the multiple number of working cycles whichever occurs first and the system is minimally repaired between the replacements if it fails. Methods: The system is replaced at periodic time () or cycle time, whichever occurs first, and is repaired minimally when it fails between successive replacements. To determine the optimal number of cycle times, the expected total cost rate is optimized with respect to the number of cycle times, where the expected total cost rate is defined as the ratio of the expected total cost between replacements to the expected time between replacements. Results: In this paper, we conduct a sensitivity analysis to find the following results. First, when the expected number of failures per unit time increases, the optimal number of cycle times decreases. Second, when the periodic time for replacement becomes longer, the optimal number of cycle times decreases. Third, when the expected value for exponential distribution of the cycle time increases, the optimal number of cycle times increases. Conclusion: A mathematical model is suggested to find the optimal number of cycle times and numerical examples are provided through the sensitivity analysis on the model parameters to see the patterns for changes of the optimal number of cycle times.

A Study on the Minimum Standards of Housing Repair for Older People Living in the Community (지역사회 노인을 위한 주택수리 및 개조 최저기준에 관한 연구)

  • Hong, Hyung-Ock
    • Journal of Families and Better Life
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    • v.23 no.2 s.74
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    • pp.11-22
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    • 2005
  • The purpose of this study is 1) to clarify that the house is no long the safe place through the cases of the senior safety accidents and to argue the need for housing repair and 2) to present the minimum standards for housing repair by comparing the cases here as well as the abroad and to back up the standards with the current senior housing environment 300 people at least 60 years old living in Seoul$\cdot$Metropolitan area were interviewed using the structured questionnaire. As the result, the following conclusions were made: 1. There was high accident rates of the senior residents due to physical deficits within the house, causing excessive medical cost and decreased housing satisfaction. This problem can be sufficiently prevented by housing repair which can not only solve the safety problem but also support self sufficient living for the senior residents. 2. Proper housing repair required the architectural know how as well as the expertise knowledge of the physical characteristics of the senior people. Therefore, it is essential to secure the professional (i.e., occupational therapist) who can analyze the needs of the senior residents and evaluate and/or predict the obstacles during repair. Furthermore, development and distribution of the standardized manual are also needed. 3. The minimum standard for housing repair could be approached in view of 'barrier-free' concept. First, the bumps should be removed, slippery prevented, and safety grab-bar installed for safety. Second, the entrance should be widened and the bathroom and kitchen restructured to support for the senior residents' self sufficiency. To make housing repair policy more efficient, the legal basis is required. It can be incorporated into the existing senior citizens 'Welfare Act' or the 'Senior Residents Medical Insurance' which will be effective starting in 2007.

Construction of Distribution Information System for Recovery and Management of used Parts of an Automobile (자동차 중고부품 회수 및 관리를 위한 물류정보시스템 구축)

  • Jung, Nam-Cheol
    • Journal of the Korea Society of Computer and Information
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    • v.12 no.3
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    • pp.203-212
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    • 2007
  • Until now, used parts of automobiles necessary for the remake of automobiles have been recovered from auto repair shops. But it takes much time and cost to collect those parts because the recovery system has not been set up. Furthermore. used parts from auto junk yards have rarely been used for the remaking. This current situation will improve by adopting DISRMPA(Distribution Information System for Recovery and Management of used Parts of Automobiles) designed by the author. Auto repair shops or junk yards input the information of used parts to make a database in the system. Remaking companies use the database to find and recover used parts. The DISRMPA can help prepare stabilized ways to supply used parts.

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