A catastrophic-cum-restorative queuing system with correlated batch arrivals and variable capacity

New Broadband Communication Networks are playing a key role in providing a variety of multimedia services such as voice, video and data etc. The amount of information per unit time generated by these services varies along the connection duration. There are certain periods in which the information rate increases and others in which it decreases or becomes null. As the sources providing such services are not synchronized several cells may arrive at the same slot. Thus, they (cells) arrive in batches of variable size. Due to the bursty nature of the cell traffic generated by broadband services the arrival process in New Broadband Communication Networks is correlated in nature [1]. TCP is the most commonly used transport protocol for Internet broadband services. Because it is a connection-based protocol, TCP is able to guarantee that each data packet transmitted from a server reaches its intended destination. It transmits cells in batches [2].