Process algebras constitute one of the main tools for modeling and analyzing concurrent systems. Unfortunately, with classical process algebras only the functional aspect of the behavior of concurrent systems can be modeled and analyzed. Since the relevance of integrating the performance modeling and evaluation into the process of specification, design and implementation of concurrent systems h...

The Hawkes process, which is generally defined for the continuous-time setting, can be described as a self-exciting simple point process with clustering effect, whose jump rate depends on its entire history. Due to past events determining future developments of processes, model not Markovian. In certain special circumstances, it Markovian generator if exciting function an exponential or sum fun...

The wound process in patients with diabetes mellitus in addition to VAC-therapy (Vacuum-assisted closure — VAC® therapy) is examined. The model of the biological system describing the wound process is built on three independently functioning subsystems; it is assumed to be ergodic and presented with a symmetric graph. The mathematical model of the wound process dynamics is constructed based on ...

Traffic engineering of IP networks requires the characterization and modeling of network traffic on multiple time scales due to the existence of several statistical properties that are invariant across a range of time scales, such as selfsimilarity, LRD and multifractality. These properties have a significant impact on network performance and, therefore, traffic models must be able to incorpora...

In a recent work we introduced semi-Markovian discrete-time generalization of the telegraph process. We referred to this random walk as ‘squirrel walk’ (SRW). The SRW is on one-dimensional infinite lattice where step direction reversed at arrival times renewal process and remains unchanged uneventful time instants. first recall general notions SRW. main subject paper study switches Sibuya (GSP)...