He, Qi-Ming Queues with marked customers. (English) Zbl 0861.60089 Adv. Appl. Probab. 28, No. 2, 567-587 (1996). Summary: Queueing systems with distinguished arrivals are described on the basis of Markov arrival processes with marked transitions. Customers are distinguished by their types of arrival. Usually, the queues observed by customers of different types are different, especially for queueing systems with bursty arrival processes. We study queueing systems from the points of view of customers of different types. A detailed analysis of the fundamental period, queue lengths and waiting times at the epochs of arrivals is given. The results obtained are the generalizations of the results of the MAP\(/G/1\) queue. Cited in 35 Documents MSC: 60K25 Queueing theory (aspects of probability theory) 90B22 Queues and service in operations research Keywords:queueing theory; Markov arrival process; \(\text{MAP}/G/1\) queue; matrix-analytic method PDFBibTeX XMLCite \textit{Q.-M. He}, Adv. Appl. Probab. 28, No. 2, 567--587 (1996; Zbl 0861.60089) Full Text: DOI Link