This is a textbook focusing on matrix-analytic methods. In this book, the basic theory is
accompanied by a large number of examples and exercises. The book is suitable for senior …

This paper is a survey of some classical contributions and recent progress in identifying
optimal dividend payment strategies in the framework of collective risk theory. In particular …

The aim of the paper is to outline the new trends in modern actuarial sciences in order to
help the researchers to find new domains of activity and university professors teaching future …

In this paper, we present a unified probabilistic approach to analyze a wide class of
insurance risk models in a ruin theoretical context. Contrary to the traditional analytic …

Energy management is key in prolonging the lifetime of an energy harvesting Internet of
Things (IoT) device with rechargeable batteries. Such an IoT device is required to fulfill its …

In the context of a dividend barrier strategy (see, eg Lin, Willmot and Drekic (2003)) we
analyze the moments of the discounted dividend payments and the expected discounted …

We consider a Markov-modulated fluid flow production model under the D-policy, that is, as
soon as the storage reaches level 0, the machine becomes idle until the total storage …

An insurance risk model where claims follow a Markovian arrival process (MArP) is
considered in this paper. It is shown that the expected present value of total operating costs …

We consider ruin problems for a risk model with a Markovian arrival process (MAP). In
particular, we study (1) the density of the time of ruin under two different assumptions on the …

We consider a double‐sided queueing model with batch Markovian arrival processes
(BMAPs) and finite discrete abandonment times, which arises in various stochastic systems …