In this paper, we consider a single server queueing system in which the arrivals occur according to Markovian arrival process (MAP). The served customers may be recruited (or opted from those customers’ point of view) act as secondary servers provide services waiting customers. Such who are referred servers. service times main well that assumed exponentially distributed possibly with different ...

Abstract: The target of this research in the queueing theory is to prove the law of the iterated logarithm (LIL) under the conditions of heavy traffic in multiphase queueing systems. In this paper, the LIL for global maxima is proved in the phases of a queueing system studied for an important probability characteristic of the system (total waiting time of a customer and waiting time of a custom...