Queues With Multiple Serving Policy

This paper mainly research two kinds of queues with multiple servicing policy.One kind is M/G/1queue with a batch arrivaling customers,the other kind is M/G/1 Queuing System with Multiple Working Vacation and Vacation Interruption.For the first kind of queue with multiple servicing policy.By use methods of "supplemental variables method","generating function approach", "Embedded Markov chain" "state transfer analyses" and "Lap lace transform"and so on,the general generating function of queue length for the system stability many other performance measures is obtained.The necessary and sufficient condition for the system stability is obtained by embedded Markov chain method,the general generating function of queue length for the system stability is obtained by supplemental variable method.