Nonparametric repair-limit replacement policies with imperfect repair

Dohi, T.; Matsushima, Nobuyuki; Kaio, Naoto; Osaki, Shunji

doi:10.1016/s0377-2217(96)00102-6

Cited by 28 publications

(14 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition, Dohi et al [19] discussed it to minimize the expected total discounted cost over an infinite time horizon. Dohi et al [20] developed a nonparametric method to estimate the optimal repair-time limit for a system with lead-time and imperfect repair by applying the TTT method.…”

Section: Introductionmentioning

confidence: 99%

A periodical replacement model based on cumulative repair‐cost limit

Lai

2007

Appl Stoch Models Bus & Ind

View full text Add to dashboard Cite

SUMMARYThis paper considers a periodical replacement model based on a cumulative repair-cost limit, whose concept uses the information of all repair costs to decide whether the system is repaired or replaced. The failures of the system can be divided into two types. One is minor failure that is assumed to be corrected by minimal repair, while the other is serious failure where the system is damaged completely. When a minor failure occurs, the corresponding repair cost is evaluated and minimal repair is then executed if this accumulated repair cost is less than a pre-determined limit L, otherwise, the system is replaced by a new one. The system is also replaced at scheduled time T or at serious failure. Long-run expected cost per unit time is formulated and the optimal period T * minimizing that cost is also verified to be finite and unique under some specific conditions.

show abstract

Section: Introductionmentioning

confidence: 99%

A periodical replacement model based on cumulative repair‐cost limit

Lai

2007

Appl Stoch Models Bus & Ind

View full text Add to dashboard Cite

show abstract

“…Nakagawa and Osaki (1974), Osaki (1981, 1982), Muth (1977), and Murthy (1980, 1981) derive the optimal repair-time limits minimizing the expected cost rates with and without discounting. Dohi et al (1995Dohi et al ( , 1996Dohi et al ( , 1997Dohi et al ( , 1998Dohi et al ( , 2000aDohi et al ( , 2000bDohi et al ( , 2001aDohi et al ( , 2001bDohi et al ( , 2003aDohi et al ( , 2003bDohi et al ( , 2006Dohi et al ( , 2007Dohi et al ( , 2010 deal with cost and profit models in repair time limit problems with and without discounting. In particular, Dohi et al (1998Dohi et al ( , 2006Dohi et al ( , 2010 consider stochastic profit models recently under earning rate criterions.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, Dohi et al (1998Dohi et al ( , 2006Dohi et al ( , 2010 consider stochastic profit models recently under earning rate criterions. Dohi et al (1995Dohi et al ( , 1996Dohi et al ( , 1997Dohi et al ( , 1998Dohi et al ( , 2000a introduce the concept of subjective repair-time distribution and considered graphical optimization problems to minimize the expected cost in estimation of the optimal decision. Dohi et al ( , 2000aDohi et al ( , 2001aDohi et al ( , 2001bDohi et al ( , 2003b) also study imperfect repair models.…”

Section: Introductionmentioning

confidence: 99%

A Repair-Time Limit Replacement Model with Imperfect Repair

Chung¹,

Yun²

2013

Journal of Korean Institute of Industrial Engineers

View full text Add to dashboard Cite

불완전 수리에서의 수리시간한계를 가진 교체모형This article concerns a profit model in a repair limit replacement problem with imperfect repair. If a system fails, we should decide whether we repair the failed system (repair option) or replace it by new one (replacement option with a lead time). We assume that repair times are random variables and can be estimated before repair with estimation error. If the estimated repair time is less than the specified limit (repair time limit), the failed unit is repaired but the unit after repair is different from the new one (imperfect repair). Otherwise, we order a new unit to replace the failed unit. The long run average profit (expected profit rate) is used as an optimization criterion and the optimal repair time limit maximizes the expected profit rate. Some special cases are derived.

show abstract

“…Murthy and Iskandar (1991a,b) first proposed this shock model. Dohi et al (1996) developed a non-parametric method to estimate the optimal repair time limit for a system with lead-time and imperfect repair, by applying the method of the total time on test (TTT). Drinkwater and Hastings (1967) first proposed the repair-cost limit replacement policy.…”

Section: Introductionmentioning

confidence: 99%

Preventive replacement policy with cumulative repair-cost limit for a system under increasing failure rate shock model

Lai

Hung

2012

IJPQM

View full text Add to dashboard Cite

A system is subject to shocks and these shocks are divided into two types: non-lethal and lethal shocks. Non-lethal shocks increase the failure rate of the system along with the age of the system and make the system eventually into a minor failure. Lethal shock whenever occurs makes the system critical failure. This shock process is called an increasing failure rate shock model. A minor failure is corrected by minimal repair, while a critical failure is rectified by replacement. In this paper, we propose a periodical replacement policy for a system, incorporating with the concept of cumulative repair-cost limit. While carrying out minimal repair, the repair cost and the accumulated repair cost are calculated. The system is replaced at age T or a minor failure at which the accumulated repair cost exceeds a predetermined threshold L or at a critical failure. The minimum-cost replacement policy is studied and a sensitivity analysis is conducted to evaluate the effect of model parameters on the optimal T*.Keywords: periodical replacement policy; increasing failure rate shock model; cumulative repair-cost limit; minimal repair.Reference to this paper should be made as follows: Lai, M-T. and Hung, C-W. (2012) 'Preventive replacement policy with cumulative repair-cost limit for a system under increasing failure rate shock model', Int.

show abstract

Nonparametric repair-limit replacement policies with imperfect repair

Cited by 28 publications

References 17 publications

A periodical replacement model based on cumulative repair‐cost limit

A periodical replacement model based on cumulative repair‐cost limit

A Repair-Time Limit Replacement Model with Imperfect Repair

Preventive replacement policy with cumulative repair-cost limit for a system under increasing failure rate shock model

Contact Info

Product

Resources

About