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We analyze an M I , M2/G1,G2/1/N queue with different scheduling and push-out scheme in this paper. Our work is motivated by the study of the performance of an output link of ATM switches with two-class priority traffics. The queueing model developed in this paper is more general than that of the output link of ATM switches with two-class priority traffics. We can have general service time distributions for classes 1 and 2, and a general service discipline function, al(z,j), with a l ( i , j ) being the probability that a class 1 packet will be served, given that there are i class 1 and j class 2 packets waiting for service. We obtain an exact solution for loss probabilities for classes 1 and 2, the queue length distribution and the mean waiting time for class 1 and an approximate calculation for the queue length distribution and mean waiting time for class 2. We show that our approximation is an upper bound and the error due to the approximation is very small when the loss probability of class 2 is small (e.g., 5 0.01).

A bstract-This note investigates the conditions under which several multiqueue systems with cyclic service (also referred to as polling systems) will be stable. The stability conditions established here are more general than those previously established by other authors. In particular, both station stability and system stability are considered for both polling systems whose exact analysis has been obtained and those whose exact analysis has not yet been obtained.

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The grey relation analysis is a kind of quantitative analysis method based on factors compared. The information axiom of axiomatic design provides a mean of evaluation by comparing the information content of several alternatives, based on which a new method for multi-attribute decision making is proposed. First, according to decision matrix of all decision making criteria, the ideal alternative composed of the best reference data series among all alternatives is constructed. Then the information content is used to evaluate the relation grade between an individual alternative and the ideal alternative. The fuzzy preferences are utilized to determine the weight of each criterion. The total information content of every alternative is calculated, and arrayed in order, so the optimal alternative can be selected. For requirements of evaluation, the calculation formula of information content is amended. Finally, an example is given to illustrate the effectiveness and feasibility of the proposed method.