In this paper we consider a local area network (LAN) of dual mode service where one is a token bus and the other is a carrier sense multiple access with a collision detection (CSMA/CD) bus. The objective of the paper is to find the overall cell/packet dropping probability of a dual mode LAN for finite length queue M/G/1(m) traffic. Here, the offered traffic of the LAN is taken to be the equivalent carried traffic of a one-millisecond delay. The concept of a tabular solution for two-dimensional Poisson's traffic of circuit switching is adapted here to find the cell dropping probability of the dual mode packet service. Although the work is done for the traffic of similar bandwidth, it can be extended for the case of a dissimilar bandwidth of a circuit switched network.
Markov Arrival Process (MAP) is the most widely used traffic model to analyze performance of a node of an asynchronous packet traffic. Recent literatures make transition between overload and underload states of a node without arrival but sometimes transition may take place from underload to overload with an arrival which deviates our analysis from the present literature of Markov Modulated Poisson Process (MMPP) traffic model. In this paper two different rates of packet 'arrival' and 'non arrival' is incorporated in state transition of underload to overload and a comparison is made with previous literatures.
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