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Analysis of software fault removal policies using a non-homogeneous continuous time markov

by Swapna S. Gokhale
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A survey on the taxonomy for Cluster-based Routing Protocols for homogeneous wireless sensor networks

by Soroush Naeimi, Hamidreza Ghafghazi, Chee-onn Chow, Hiroshi Ishii - ISSN 1424-8220. IJCA TM : www.ijcaonline.org
"... sensors ..."
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...dependent on the two factors of checkpointing interval and number of backup nodes in each cluster. To achieve a trade-off between reliability and energy consumption, the algorithm uses a Markov model =-=[100]-=- to determine the minimum number of backup nodes and the optimum value of checkpointing interval, which is the time between two successive checkpoints, while the energy consumption of checkpointing pr...

LTL model checking of time-inhomogeneous Markov chains

by Taolue Chen, Tingting Han, Joost-pieter Katoen, Ru Mereacre - in Proceedings of the 7th International Symposium on Automated Technology for Verification and Analysis , 2009
"... Abstract. We investigate the problem of verifying linear-time properties against inhomogeneous continuous-time Markov chains (ICTMCs). A fundamental ques-tion we address is how to compute reachability probabilities. We consider two variants: time-bounded and unbounded reachability. It turns out that ..."
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Abstract. We investigate the problem of verifying linear-time properties against inhomogeneous continuous-time Markov chains (ICTMCs). A fundamental ques-tion we address is how to compute reachability probabilities. We consider two variants: time-bounded and unbounded reachability. It turns out that both can be characterized as the least solution of a system of integral equations. We show that for the time-bounded case, the obtained integral equations can be transformed into a system of ordinary differential equations; for the time-unbounded case, we identify two sufficient conditions, namely the eventually periodic assumption and the eventually uniform assumption, under which the problem can be reduced to solving a time-bounded reachability problem for the ICTMCs and a reachability problem for a DTMC. These results provide the basis for a model checking algo-rithm for LTL. Under the eventually stable assumption, we show how to compute the probability of a set of ICTMC paths which satisfy a given LTL formula. By an automata-based approach, we reduce this problem to the previous established results for reachability problems. 1
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...e probabilistic nature of mode transitions are constant. However, in some situations constant rates do not adequately model real behaviors. This applies, e.g., to failure rates of hardware components =-=[10]-=- (that usually depend on the component’s age), battery depletion [7] (where the power extraction rate non-linearly depends on the remaining amount of energy), and random phenomena that are subject to ...

A Catalog of Techniques that Predict Information about the Count or Rate of Field Defects

by Paul Luo Li , 2006
"... assurance, reliability, risk management, planning, software reliability growth models, ..."
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assurance, reliability, risk management, planning, software reliability growth models,
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...uality of software in the field, as discussed by Chulani et al. in [9]. Reliability, which is another common measure of quality, is the inverse of the count of field defects remaining in the software =-=[20]-=-. We use field defect to refer to all the terms used in the literature to describe a software related quality problem that occurs after release, such as a fault or a failure. Software producers common...

Transient Reward Approximation for Continuous-Time Markov Chains

by Ernst Moritz Hahn , Holger Hermanns , Ralf Wimmer , Bernd Becker
"... Abstract We are interested in the analysis of very large continuoustime Markov chains (CTMCs) with many distinct rates. Such models arise naturally in the context of reliability analysis, e. g., of computer network performability analysis, of power grids, of computer virus vulnerability, and in the ..."
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Abstract We are interested in the analysis of very large continuoustime Markov chains (CTMCs) with many distinct rates. Such models arise naturally in the context of reliability analysis, e. g., of computer network performability analysis, of power grids, of computer virus vulnerability, and in the study of crowd dynamics. We use abstraction techniques together with novel algorithms for the computation of bounds on the expected final and accumulated rewards in continuous-time Markov decision processes (CTMDPs). These ingredients are combined in a partly symbolic and partly explicit (symblicit) analysis approach. In particular, we circumvent the use of multi-terminal decision diagrams, because the latter do not work well if facing a large number of different rates. We demonstrate the practical applicability and efficiency of the approach on two case studies.
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...inary decision diagrams (EVBDDs) [59] often can avoid this representation explosion, at the price of a more involved reconstruction of matrix entries. This trade-off makes them less suited for direct numerical computations, as needed for the model checking of CTMCs. Therefore, models with a large number of different rates are a notorious problem for symbolic representations, and hence for the stochastic model checkers available to date. However, there is a growing spectrum of important applications that give rise to excessive numbers of distinct rates. Computer network performability analysis [37, 22, 2, 32, 76], power grid stability [72, 35], crowd dynamics [62, 63], as well as (computer) virus epidemiology [84, 86, 85] are important examples where Markov models are huge, and rates change from state to state. The study of these phenomena is of growing importance for the assurance of their reliability. Several of these examples can in some way be regarded as Markov population models [38, 43], where the rates change with population counts, similar to models appearing in systems biology [64], and also in classical performance and dependability engineering [37, 22]. This paper targets the analysis of tr...

A Simulation Approach to Structure-Based Software Reliability Analysis

by Sincerely Yours, Swapna S. Gokhale, Swapna S. Gokhale, Michael R. Lyu
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...tion rate and the fault repair rate. Fault detection rate may be given by one of the software reliability growth models, whereas, the fault repair rate may be determined by the repair policy employed =-=[14]-=-. In order to determine the impact of fault detection rate it is necessary to represent the failure behavior of a component using a time-dependent failure rate as in the research reported by Laprie et...

A Detailed Study of NHPP Software Reliability Models (Invited Paper)

by Richard Lai, Mohit Garg
"... Abstract—Software reliability deals with the probability that software will not cause the failure of a system for a specified time under a specified condition. The probability is a function of the inputs to and use of the system as well as a function of the existing faults in the software. The input ..."
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Abstract—Software reliability deals with the probability that software will not cause the failure of a system for a specified time under a specified condition. The probability is a function of the inputs to and use of the system as well as a function of the existing faults in the software. The inputs to the system determine whether existing faults, if any, are encountered. Software Reliability Models (SRMs) provide a yardstick to predict future failure behavior from known or assumed characteristics of the software, such as past failure data. Different types of SRMs are used for different phases of the software development life-cycle. With the increasing demand to deliver quality software, software development organizations need to manage quality achievement and assessment. While testing a piece of software, it is often assumed that the correction of errors does not introduce any new errors and the reliability of the software increases as bugs are uncovered and then fixed. The models used during the testing phase are called Software Reliability Growth Models (SRGM). Unfortunately, in industrial practice, it is difficult to decide the time for software release. An important step towards remediation of this problem lies in the ability to manage the testing resources efficiently and affordably. This paper presents a detailed study of existing SRMs based on Non-Homogeneous Poisson Process (NHPP), which claim to improve software quality through effective detection of software faults.
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