Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource A Markovian risk model with possible by-claims and dividend barrier Subject The topic of the resource by-claims; dividend barrier; Gerber-Shiu function; GSF; Lundberg equation; MAP claim arrivals; phase type claims; risk reserve process Description An account of the resource A MAP/PH risk model with possible by-claims and a dividend barrier is considered. Along with the main claim, a by-claim also can occur with a certain probability but by-claims are settled only after an inquiry and hence delayed. The model is analysed considering associated Markovian fluid models under the original timeline and an auxiliary timeline. Systems of integro differential equations (IDE) are developed for the Gerber-Shiu function (GSF) and the total dividends paid until ruin. Explicit expressions are obtained for the GSF of the models without and then with the barrier. Expressions are also provided for the moments of the total dividends paid until ruin. A dividends-penalty identity is given. The method is numerically illustrated with a two-phase model and sensitivity analysis of the model is done by varying some of the parameters involved. 2023 Inderscience Enterprises Ltd.. All rights reserved. Creator An entity primarily responsible for making the resource Sreeshamim P.P.; Jacob M.J.; Dibu A.S. Source A related resource from which the described resource is derived International Journal of Mathematics in Operational Research, Vol-26, No. 4, pp. 475-501. Publisher An entity responsible for making the resource available Inderscience Publishers Date A point or period of time associated with an event in the lifecycle of the resource 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1504/IJMOR.2023.135545" target="_blank" rel="noreferrer noopener">https://doi.org/10.1504/IJMOR.2023.135545</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85180991955&amp;doi=10.1504%2FIJMOR.2023.135545&amp;partnerID=40&amp;md5=2911bdcc17f287330748a48476f2635d" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85180991955&amp;doi=10.1504%2fIJMOR.2023.135545&amp;partnerID=40&amp;md5=2911bdcc17f287330748a48476f2635d</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 17575850 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Sreeshamim P.P., Department of Mathematics, National Institute of Technology, Kerala, Calicut, 673601, India; Jacob M.J., Department of Mathematics, National Institute of Technology, Kerala, Calicut, 673601, India; Dibu A.S., Department of Data Science and Statistics, Christ (Deemed to be University, Bangalore, 560029, India