• Title/Summary/Keyword: Non-homogeneous Poisson process

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A Study for NHPP software Reliability Growth Model based on polynomial hazard function (다항 위험함수에 근거한 NHPP 소프트웨어 신뢰성장모형에 관한 연구)

  • Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.7 no.4
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    • pp.7-14
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    • 2011
  • Infinite failure NHPP models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rate per fault (hazard function). This infinite non-homogeneous Poisson process is model which reflects the possibility of introducing new faults when correcting or modifying the software. In this paper, polynomial hazard function have been proposed, which can efficiency application for software reliability. Algorithm for estimating the parameters used to maximum likelihood estimator and bisection method. Model selection based on mean square error and the coefficient of determination for the sake of efficient model were employed. In numerical example, log power time model of the existing model in this area and the polynomial hazard function model were compared using failure interval time. Because polynomial hazard function model is more efficient in terms of reliability, polynomial hazard function model as an alternative to the existing model also were able to confirm that can use in this area.

A Study on the Reliability Quality Measurement of Embedded Software (내장형 소프트웨어의 신뢰성 품질 측정 방안 연구)

  • Jang, Yoon-Jeong;Youn, Cheong
    • Proceedings of the Korea Information Processing Society Conference
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    • 2014.11a
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    • pp.613-616
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    • 2014
  • 오늘날 선박, 항공, 자동차산업 등의 복합화로 인하여 내장형 소프트웨어의 중요성이 크게 대두되고 있다. 중요도가 높아질수록 고장 현상 발생률이 증가하고 이에 따른 오류나 고장에 대한 영향도 급증 하기 때문에, 신뢰성이 그만큼 중요하게 되었다. 신뢰성은 ISO/IEC 9126, ISO/IEC 12119 등에서 기능성, 사용성, 효율성, 유지보수성, 이식성과 함께 언급되고 있다. 신뢰성의 부특성에는 성숙성, 오류허용성, 회복성, 준수성이 있고, 이에 따라 품질평가 항목 메트릭이 제시되어 있다. 그러나 신뢰성 평가 기준은 수리적 난해함과 데이터 수집에 관한 문제에 부딪혀 적용하는 데에 어려움이 따르는 실정이다. 이와 같은 문제점을 해결하기 위해, 각 세부 평가 항목에 대한 체크리스트를 가지고 품질평가 메트릭에 적용하였다. 또한, 기존에 제시되어 있는 대표적인 신뢰성 모델 두 가지 NHPP(Non-Homogeneous Poisson Process) Model과 Jelinski-Moranda Model을 성숙성과 오류허용성의 품질평가 메트릭과 연관시켜 효율적으로 신뢰성을 측정하는 방안에 대하여 모색하였다.

A Study on the Reliability Quality Measurement And Improving of Embedded Software (내장형 소프트웨어의 신뢰성 품질 측정 및 향상 방안 연구)

  • Jang, Yoon-Jeong;Youn, Cheong
    • Proceedings of the Korea Information Processing Society Conference
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    • 2015.04a
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    • pp.595-598
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    • 2015
  • 오늘날 선박, 항공, 자동차산업 등의 복합화로 인하여 내장형 소프트웨어의 중요성이 크게 대두되고 있다. 중요도가 높아질수록 고장 현상 발생률이 증가하고 이에 따른 오류나 고장에 대한 영향도 급증하기 때문에, 신뢰성이 그만큼 중요하게 되었다. 신뢰성의 부특성에는 성숙성, 오류허용성, 회복성, 준수성이 있고, 이에 따라 품질평가 항목 메트릭이 제시되어 있다. 신뢰성 평가 기준은 수리적 난해함과 데이터 수집에 관한 문제에 부딪혀 적용하는 데에 어려움이 따르는 실정이다. 이와 같은 문제점을 해결하기 위하여 품질평가 메트릭의 새로운 방안을 제시하였다. 기존에 제시되어 있는 대표적인 신뢰성 모델 두 가지 NHPP(Non-Homogeneous Poisson process) Model과 Jelinski-Moranda Model의 결과 값과 제시한 방법을 토대로 나온 결과 값을 비교하여 타당성을 입증한다. 기존의 난해한 방법을 이용하지 않고도 정확한 평가 결과를 얻을 수 있도록 하는 것이 본 연구의 목적이다.

Optimal Release times of a Software Cost Model with Consideration of Various Costs

  • Lee Chong Hyung;Jang Kyu Beom;Park Dong Ho
    • Proceedings of the Korean Reliability Society Conference
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    • 2005.06a
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    • pp.251-257
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    • 2005
  • Software system which is essential in operating the computer has gradually become an indispensable element in many aspects of our daily lives and an important factor in numerous systems. In recent years, software cost sometimes exceeds the cost of maintaining the hardware system. In addition to the cost necessary to develop the new software system and to maintain the system, the penalty costs incurred due to software failures are even more significant. In this paper, a cost model incorporating the warranty cost, debugging costto remove each fault detected in the software system, and delivery delay cost is developed. A software reliability model based on non-homogeneous Poisson process(NHPP) is established and the optimal software release policies to minimize the expected total software cost are discussed. Numerical examples are provided to illustrate the results.

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A SOFTWARE RELIABILITY ESTIMATION METHOD TO NUCLEAR SAFETY SOFTWARE

  • Park, Gee-Yong;Jang, Seung Cheol
    • Nuclear Engineering and Technology
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    • v.46 no.1
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    • pp.55-62
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    • 2014
  • A method for estimating software reliability for nuclear safety software is proposed in this paper. This method is based on the software reliability growth model (SRGM), where the behavior of software failure is assumed to follow a non-homogeneous Poisson process. Two types of modeling schemes based on a particular underlying method are proposed in order to more precisely estimate and predict the number of software defects based on very rare software failure data. The Bayesian statistical inference is employed to estimate the model parameters by incorporating software test cases as a covariate into the model. It was identified that these models are capable of reasonably estimating the remaining number of software defects which directly affects the reactor trip functions. The software reliability might be estimated from these modeling equations, and one approach of obtaining software reliability value is proposed in this paper.

A Comparative Study of Software Reliability Model Considering Log Type Mean Value Function (로그형 평균값함수를 고려한 소프트웨어 신뢰성모형에 대한 비교연구)

  • Shin, Hyun Cheul;Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.10 no.4
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    • pp.19-27
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    • 2014
  • Software reliability in the software development process is an important issue. Software process improvement helps in finishing with reliable software product. Infinite failure NHPP software reliability models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, proposes the reliability model with log type mean value function (Musa-Okumoto and log power model), which made out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on mean square error (MSE) and coefficient of determination($R^2$), for the sake of efficient model, was employed. Analysis of failure using real data set for the sake of proposing log type mean value function was employed. This analysis of failure data compared with log type mean value function. In order to insurance for the reliability of data, Laplace trend test was employed. In this study, the log type model is also efficient in terms of reliability because it (the coefficient of determination is 70% or more) in the field of the conventional model can be used as an alternative could be confirmed. From this paper, software developers have to consider the growth model by prior knowledge of the software to identify failure modes which can be able to help.

Optimal Maintenance Cycle for Aviation Oil Testing Equipment under the Consideration of Operational Environment (운용환경을 고려한 항공오일시험장비의 최적정비주기 설정)

  • Kim, In Seok;Jung, Won
    • Journal of Applied Reliability
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    • v.16 no.3
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    • pp.224-230
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    • 2016
  • Purpose: Military maintenance involves corrective and preventive actions carried out to keep a system in or restore it to a predetermined condition. This research develops an optimal maintenance cycle for aviation oil testing equipment with acceptable reliability level and minimum maintenance cost. Methods: The optimal maintenance policy in this research aims to satisfy the desired reliability level at the lowest cost. We assume that the failure process of equipment follows the power law non-homogeneous Poisson process model and the maintenance system is a minimal repair policy. Estimation and other statistical procedures (trend test and goodness of fit test) are given for this model. Results: With time varying failure rate, we developed reliability-based maintenance cost optimization model. This model will reduce the ownership cost through adopting a proactive reliability focused maintenance system. Conclusion: Based on the analysis, it is recommended to increase the current maintenance cycle by three times which is 0.5 year to 1.5 years. Because of the system's built-in self-checking features, it is not expected to have any problems of preventative maintenance cycle.

Performance Analysis of an ATM MUX with a New Space Priority Mechanism under ON-OFF Arrival Processes

  • Bang, Jongho;Ansari, Nirwan;Tekinay, Sirin
    • Journal of Communications and Networks
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    • v.4 no.2
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    • pp.128-135
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    • 2002
  • We propose a new space priority mechanism, and analyze its performance in a single Constant Bit Rate (CBR) server. The arrival process is derived from the superposition of two types of traffics, each in turn results from the superposition of homogeneous ON-OFF sources that can be approximated by means of a two-state Markov Modulated Poisson Process (MMPP). The buffer mechanism enables the Asynchronous Transfer Mode (ATM) layer to adapt the quality of the cell transfer to the Quality of Service (QoS) requirements and to improve the utilization of network resources. This is achieved by "Selective-Delaying and Pushing-ln"(SDPI) cells according to the class they belong to. The scheme is applicable to schedule delay-tolerant non-real time traffic and delay-sensitive real time traffic. Analytical expressions for various performance parameters and numerical results are obtained. Simulation results in term of cell loss probability conform with our numerical analysis.

A software reliability model with a Burr Type III fault detection rate function

  • Song, Kwang Yoon;Chang, In Hong;Choi, Min Su
    • International Journal of Reliability and Applications
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    • v.17 no.2
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    • pp.149-158
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    • 2016
  • We are enjoying a very comfortable life thanks to modern civilization, however, comfort is not guaranteed to us. Development of software system is a difficult and complex process. Therefore, the main focus of software development is on improving the reliability and stability of a software system. We have become aware of the importance of developing software reliability models and have begun to develop software reliability models. NHPP software reliability models have been developed through the fault intensity rate function and the mean value functions within a controlled testing environment to estimate reliability metrics such as the number of residual faults, failure rate, and reliability of the software. In this paper, we present a new NHPP software reliability model with Burr Type III fault detection rate, and present the goodness-of-fit of the fault detection rate software reliability model and other NHPP models based on two datasets of software testing data. The results show that the proposed model fits significantly better than other NHPP software reliability models.

The Comparative Study for NHPP of Truncated Pareto Software Reliability Growth Model (절단고정시간에 근거한 파레토 NHPP 소프트웨어 신뢰성장모형에 관한 비교 연구)

  • Kim, Hee-Cheul;Shin, Hyun-Cheul
    • Convergence Security Journal
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    • v.12 no.1
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    • pp.9-16
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    • 2012
  • Due to the large scale application of software systems, software reliability plays an important role in software developments. In this paper, a software reliability growth model (SRGM) is proposed for testing time. The testing time on the right is truncated in this model. The intensity function, mean-value function, reliability of the software, estimation of parameters and the special applications of Pareto NHPP model are discussed. This paper, a numerical example of applying using time between failures and parameter estimation using maximum likelihood estimation method, after the efficiency of the data through trend analysis model selection, depended on difference between predictions and actual values, were efficient using the mean square error and $R_{SQ}$.