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Study on retrial double-ended queueing system with feedback |
Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China) |
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Abstract On the basis of the traditional double-ended queue, a retrial double-ended queueing system with feedback is studied for the stock exchange. We propose that the buyers and sellers in business are at both ends in the queuing model, and that the customers at both ends are subject to Poisson distribution. The necessary and sufficient condition for the system in steady state is proved by embedding Markov chain. Markov process is constructed by means of supplementary variable, and the differential equation is listed. At last the queue length of the system in the steady state is obtained by probability generating function.
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