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This paper considers human uncertainty in a queueing system, and proposes an uncertain queueing model in which the interarrival times and the service times are regarded as uncertain variables. The busyness index is derived analytically which indicates the service efficiency of a queueing system. Besides, the uncertainty distribution of the busy period is obtained.<\/jats:p>","DOI":"10.1142\/s175289092150001x","type":"journal-article","created":{"date-parts":[[2021,4,2]],"date-time":"2021-04-02T05:31:45Z","timestamp":1617341505000},"page":"2150001","source":"Crossref","is-referenced-by-count":9,"title":["An Uncertain Single-Server Queueing Model"],"prefix":"10.1142","volume":"14","author":[{"given":"Kai","family":"Yao","sequence":"first","affiliation":[{"name":"School of Economics and Management, University of Chinese Academy of Sciences, Beijing 100190, P. R. 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