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6 articles for “Semi-Markov Processes”

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Research ArticleOpen accessIn the keywordsEstimation and Reliability for a Special Type of Semi-Markov ProcessVlad Stefan Barbu, Alex Karagrigoriou, Andreas MakridesThis work deals with multi-state systems modelled by means of semi-Markov processes. The sojourn times are seen to be independent not identically distributed random variables and assumed to belong to one of two different general classes of distributions so that the first class is closed under maxima and the second one is closed under minima. We obtain maximum likelihood estimators … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 20 Oct 2019 · 7,047 accessesView PDFCite
Research ArticleOpen accessIn the keywordsReliability and Economic Analysis of a Power Generating System Comprising One Gas and One Steam Turbine with Random InspectionDalip Singh, Gulshan TanejaReliability and economic analysis for a power generating system comprising one gas and one steam turbine has been done wherein the inspection for doing one of the three types of maintenance (Minor, Path or Major) is carried out randomly. Initially, both the units i.e., the gas turbine as well as the steam turbine are operating. On failure of the gas … …Journal of Mathematics and Statistics, Vol. 10, Issue 4 · 1 Jan 2015 · 8,429 accessesView PDFCite
Research ArticleOpen accessIn the abstractMULTI-STATE MODELS OF HIV/AIDS BY HOMOGENEOUS SEMI-MARKOV PROCESSZelalem Getahun DessieMulti-state stochastic models are useful tools for studying complex dynamics such as chronic diseases. The purpose of this study is to determine factors associated with the progression between different stages of the disease and to model the progression of HIV/AIDS disease of an individual patient under ART follow-up using semi-Markov processes. A sample of 1456 patients has been taken from … …Current Research in Biostatistics, Vol. 4, Issue 2 · 11 Aug 2014 · 8,209 accessesView PDFCite
Research ArticleOpen accessIn the abstractCOST-BENEFIT ANALYSIS OF A SINGLE UNIT SYSTEM WITH SCHEDULED MAINTENANCE AND VARIATION IN DEMANDGulshan Taneja, Reetu MalhotraThe present paper analyses the reliability and cost-benefit for a single unit system with scheduled maintenance and variation in demand. As Change in demand affects the production of system also, hence sometimes, the system needs to be shut down when the number of produces are in excess as compared to those demanded. Revenue in case of both types of up … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 30 May 2013 · 7,197 accessesView PDFCite
Research ArticleOpen accessIn the abstractAnalysis of a Two Unit Standby Oil Delivering System with a Provision of Switching Over to another System at Need to Increase the AvailabilityUpasana Sharma, Rekha, Gulshan TanejaProblem statement: The study deals with a standby system consisting of two units. Initially one unit is operative and the other is standby. When both the units are failed then there is a provision of switching over to the other similar system. This practical situation may be observed in an oil refinery plant. Real data on failure and repair rates … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 31 Jan 2011 · 7,107 accessesView PDFCite
Research ArticleOpen accessIn the abstract3-Unit System Comprising Two Types of Units with First Come First Served Repair Pattern Except When Both Types of Units are Waiting for RepairAmit Goyal, Gulshan Taneja, D. V. SinghProblem statement: In this study we investigated the probabilistic analysis of a three unit system working in a sugar Mill, wherein one unit is big and the other two units are small and identical, is examined. Upon failure of the big unit, both small units are made operative and failed unit is undertaken for repair immediately. Priority for operation is … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,407 accessesView PDFCite