The representation of general distributions or measured data by phase-type distributions is
an important and nontrivial task in analytical modeling. Although a large number of different …

The book is composed of two main parts: mathematical background and queueing systems
with applications. The mathematical background is a self containing introduction to the …

Reliability evaluation is crucial in assessing the power supply capacity and guiding the
planning and operation of the distribution system. Traditional analytical reliability evaluation …

The paper investigates the problem of minimal representation of Markov arrival processes of
order n (MAP (n)). The minimal representation of MAPs is crucial for developing effective …

The success of a security attack crucially depends on time: the more time available to the
attacker, the higher the probability of a successful attack; when given enough time, any …

Cloud computing is a promising paradigm able to rationalize the use of hardware resources
by means of virtualization. Virtualization allows to instantiate one or more virtual machines …

Approximating general distributions by phase-type (PH) distributions is a popular technique
in stochastic analysis, since the Markovian property of PH distributions often allows …

We consider a two-echelon supply chain: a single retailer holds a finished goods inventory
to meet an iid customer demand, and a single manufacturer produces the retailer's …

Motivated by experiments on customers' behavior in service systems, we consider a
queueing model with event-dependent arrival rates. Customers' arrival rates depend on the …

Cloud providers need to size their systems to determine the right amount of resources to
allocate as a function of customer's needs so as to meet their SLAs (Service Level …