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In this paper, we systematically introduce the interval Shapley value as cost allocation of cooperative interval games \u3008<jats:italic>N<\/jats:italic>, <jats:italic>V<\/jats:italic>\u3009 arising from cooperation in a multi-server service system, and provide an explicit expression for the interval Shapley value of cooperative interval games \u3008<jats:italic>N<\/jats:italic>, <jats:italic>V<\/jats:italic>\u3009. We construct an interval game \u3008<jats:italic>N<\/jats:italic>, <jats:italic>W<\/jats:italic>\u3009 of a service system which shares the same value for the grand coalition with the original interval game, by using the characteristic function which is dominated by the function of the original interval game. Finally, we prove that the interval game \u3008<jats:italic>N<\/jats:italic>, <jats:italic>W<\/jats:italic>\u3009 is concave, which means that the interval Shapley value of the interval game \u3008<jats:italic>N<\/jats:italic>, <jats:italic>W<\/jats:italic>\u3009 is in the interval core of this interval game, and illustrate this conclusion by using numerical examples.<\/jats:p>","DOI":"10.1515\/amcs-2017-0039","type":"journal-article","created":{"date-parts":[[2017,9,25]],"date-time":"2017-09-25T10:00:43Z","timestamp":1506333643000},"page":"549-562","source":"Crossref","is-referenced-by-count":0,"title":["The interval Shapley value of an M\/M\/1 service system"],"prefix":"10.61822","volume":"27","author":[{"given":"E","family":"Cheng-Guo","sequence":"first","affiliation":[{"name":"School of Economics and Management , Yanshan University , Qinhuangdao 066004 , China"},{"name":"Liren College , Yanshan University , Qinhuangdao 066004 , China"}]},{"given":"Quan-Lin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Economics and Management , Yanshan University , Qinhuangdao 066004 , China"}]},{"given":"Shiyong","family":"Li","sequence":"additional","affiliation":[{"name":"School of Economics and Management , Yanshan University , Qinhuangdao 066004 , China"}]}],"member":"37438","published-online":{"date-parts":[[2017,9,23]]},"reference":[{"key":"2021040722545037168_j_amcs-2017-0039_ref_001_w2aab3b7b8b1b6b1ab1ab1Aa","unstructured":"Aksin, O., De Vericourt, F. and Karaesmen, F. 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