• Title/Summary/Keyword: expected warranty cost

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Optimal Replacement Policy for a Repairable System with Combination Warranty (혼합보증이 있는 수리 가능한 시스템에 대한 최적의 교체정책)

  • 정기문
    • The Korean Journal of Applied Statistics
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    • v.15 no.1
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    • pp.107-117
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    • 2002
  • In this paper we present the optimal replacement policies following the expiration of combination warranty. We consider two types of combination warranty policies: renewing warranty and non-renewing warranty. The criterion used to determine the optimal replacement period is the expected cost rate per unit time from the user'perspective. The optimal maintenance period following the expiration of combination warranty is obtained. Some numerical examples are presented for illustrative purpose.

Replacement Model Following the Expiration of NFRRW (비 재생무료교체-수리보증이 종료된 이후의 교체모형)

  • Jung, Ki-Mun
    • The Korean Journal of Applied Statistics
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    • v.23 no.6
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    • pp.1147-1156
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    • 2010
  • This paper proposes a replacement policy following the expiration of a non-renewing free replacement-repair Warranty(NFFRW). The non-renewing free replacement-repair warranty is defined and then the maintenance model following the expiration of the NFRRW is studied from the user's point of view. As the criteria to determine the optimality of the maintenance policy, we consider the expected cost rate per unit time from the user's perspective. All maintenance costs of the system incurred after the expiration of the warranty are paid by the user. Given the cost structures during the life cycle of the system, we determine the optimal maintenance period following the expiration of a NFRRW. Finally, the numerical examples are presented for illustrative purposes.

Warranty Servicing Cost Analysis Using Phase-Type Lifetime Distributions (Phase-Type 분포를 이용한 보증서비스 비용 분석)

  • 김호균;백천현;조형수
    • Journal of the Korean Operations Research and Management Science Society
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    • v.25 no.3
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    • pp.41-48
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    • 2000
  • We consider the question of warranties for repairable items. During the warranty period, each time an item fails the manufacturer has the obligation to restore the item to operational condition either by repairing the item or by replacing it by a new item. In this paper, we consider a warranty policy for making this decision based on the condition of the failed item. For products with phase-type lifetime distributions where the phases represent the condition of the item, we develop algorithms to determine the expected cost of servicing a warranty and use it in making the repair/replacement decision. illustrative numerical examples are presented.

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The Software Reliability Growth Models for Software Life-Cycle Based on NHPP

  • Nam, Kyung-H.;Kim, Do-Hoon
    • The Korean Journal of Applied Statistics
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    • v.23 no.3
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    • pp.573-584
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    • 2010
  • This paper considers the differences in the software execution environments in the testing phase and the operational phase to determine the optimal release time and warranty period of software systems. We formulate equations for the total expected software cost until the end of the software life cycle based on the NHPP. In addition, we derive the optimal release time that minimizes the total expected software cost for an imperfect debugging software reliability model. Finally, we analyze the sensitivity of the optimal testing and maintenance design related to variation of the cost model parameters based on the fault data observed in the actual testing process, and discuss the quantitative properties of the proposed model.

Bayesian Maintenance Policy for a Repairable System with Non-renewing Warranty

  • Han, Sung-Sil;Jung, Gi-Mun
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.1
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    • pp.55-65
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    • 2002
  • In this paper we present a Bayesian approach for determining an optimal maintenance policy following the expiration of warranty for a repairable system. We consider two types of warranty policies : non-renewing free replacement warranty (NFRW) and non-renewing pro-rata warranty (NPRW). The mathematical formula of the expected cost rate per unit time is obtained for NFRW and NPRW, respectively. When the failure time is Weibull distribution with uncertain parameters, a Bayesian approach is established to formally express and update the uncertain parameters for determining an optimal maintenance policy. We illustrate the use of our approach with simulated data.

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The Comparative Study of the Warranty Cost Model for Software Reliability Time Based on Extreme Value Distribution (극값 분포 특성을 가진 소프트웨어 신뢰성 보증 모형에 관한 비교연구)

  • Kim, Hee-Cheul
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.6B
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    • pp.623-629
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    • 2009
  • In this research, the process of developing software products to users in transfer by considering the warranty period to determine the timing of the release period is a comparative study of models. For the results of demonstration, exponential software reliability model increases the warranty period, the higher the initial period, but shows almost a similar release. In contrast, the optimal release time of imperfect debugging software reliability model, lower the initial warranty period, but the pattern is expected to rise slightly larger. The proposed model, extreme value distribution model, pattern of the optimal release time gradually increase, have a form that can be drawn. These research results through, warranty period and release the software developers understand the relationship between the optimal time for software development by using advance information could do is feed.

Economic Evaluation of Early Detection System for Warranty Issues (품질보증 이슈 조기감지 시스템의 경제성 평가)

  • Jung, Sung-Hwan
    • Journal of Korean Society for Quality Management
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    • v.40 no.1
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    • pp.39-48
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    • 2012
  • An early detection system for warranty issues periodically collects customers' claim data and automatically reports alarms about emerging issues based on statistical algorithms. It helps companies to reduce an issue definition time and save the handling cost of warranty claims. This paper provides an evaluation framework to validate the economic effect of an early detection system project. For this purpose, we present economical index of a project with explicit formulas such as ROI(return on investment), PP(payback period), NPV(net present value), PI(profitability index) and IRR(internal rate of return) and analyze the sensitivities of the index according to the variation of project input parameters. The proposed analysis framework is expected to be used for evaluating economic values of various system integration projects.

A Bayesian Approach to Optimal Replacement Policy for a Repairable System with Warranty Period

  • Jung, Gi-Mun;Han, Sung-Sil
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.21-31
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    • 2002
  • This paper considers a Bayesian approach to determine an optimal replacement policy for a repairable system with warranty period. The mathematical formula of the expected cost rate per unit time is obtained for two cases : RFRW(renewing free-replacement warranty) and RPRW(renewing pro-rata warranty). When the failure time is Weibull distribution with uncertain parameters, a Bayesian approach is established to formally express and update the uncertain parameters for determining an optimal replacement policy. Some numerical examples are presented for illustrative purpose.

Design of a Life Test Sampling Plan Based on the Cost Model

  • Kwon, Young-Il
    • International Journal of Reliability and Applications
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    • v.6 no.1
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    • pp.31-39
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    • 2005
  • An economic life test sampling plan for products with exponential lifetime distribution is developed. To reduce test time, a test plan with curtailed Type II censoring is considered. A cost model is constructed which involves three cost components; test cost, accept cost, and reject cost. Determination of optimal plan minimizing the expected average cost per lot is discussed with a constraint related to consumer's risk. Some numerical examples are provided.

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An Empirical Study on the Repair Rate of Domestic Gas Boiler within Warranty Period(I) (가정용(家庭用) 가스 보일러의 보증기간내(保證期間內) 수리율(修理率)에 관(關)한 실증적(實證的) 연구(硏究)(I))

  • Han, Jae-Hoon;Kim, Bong-Sun
    • Journal of the Korea Safety Management & Science
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    • v.16 no.1
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    • pp.139-146
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    • 2014
  • As Crosby notes, the most companies spend 15 to 20% of their sales dollars on quality costs. Generally the most effective way to manage quality costs is to avoid having defects in the first place. In this paper we have studied about the repair(service) problem of domestic gas boiler within warranty period. We develop a system, which man could find the cause of the problem at an early stage and could devise a countermove to the problem under supposing that the service(repair) rate follows exponential distribution and the product is manufactured lot-for-lot continually. Using the developed early sensing system. it is expected to improve the reliability of the product, to save expenses of company and to improve customer's satisfaction. And the system will be expended to incorporate information technology, which can detect the repair rate automatically.