Laan in (Ph.D Thesis, Tartu. 1999) introduced the principal weak form of Condition $(P)$ as Condition $(PWP)$ and gave some characterization of monoids by this condition of their acts. In this paper first we introduce Condition (G-PWP), a generalization of Condition $(PWP)$ of acts over monoids and then will give a characterization of monoids when all right acts satisfy this condition. We also ...

This topic gives you basic ideas about the spectrums used in 3G and 4G communication systems. It also spreads light on the technologies used in both systems and their applications in current time. It allows one to understand the evolution of 4G from early 1G,its reasons and its effects.

The notation G/G/1 queue is usually referred to a single-server queue with first-in-first-out discipline and with a general distribution of the sequences of inter-arrival and service times (which are the “driving sequences” of the system). Customers are numbered n = 0, 1, . . .. We assume that customer 0 arrives to a system at time t = 0 and finds there an initial amount of work, so has to wait...