| Generally, there is only one channel in star-LAN named single-star LAN, while multi-star LAN has more than one channels. Multi-star LAN can be considered consisting of several single star-LANs.Multi-star LAN's working principle has been reported in some literature[1-3]. During the research, a new access mode[4-5] in multi-star LAN, the contention-collision cancellation access mode (abbreviated as C-CC) has been presented. In literature[4], according to customers requesting for service , re-requesting for service , being served, the system model of C-CC can be classified six types. The C-CC mode is very useful for setting the standard access mode of star-LAN, which attracts more contention. As for, the studies about of I st, IInd, IIIrd, IVth, V th have been finished[6-10], which undoubtedly help develop the star LAN. From the viewpoint of innovation we know the value of developing multi-star LAN. As far, because of mathematical difficulties, no paper lias made any report of multi-star LAN,. In order to make innovation for the C-CC access mode, we have to study multi-star LAN deeply.We begin to research deeply with double-star LAN, which is a very important topology of multi-star LAN. In this paper, we study on extended single-star LAN and successfully set the mathematical model for double-star LAN with access mode of C-CC. At the same time we get expressions for the transfer probability of the customers % the mean detained time of the customers in the system and finish simulation for them, then compare the result of two servers with that of one server under the same system mode. So far, the theory foundation of the contention-collision elimination access mode has been established for its application. The result of this paper can help develop wire star-LAN and wireless star-LAN.
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