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The vital aim of this paper is to combine the parametric non linear programming technique and Yager\u2019s ranking method. Using\n                    <jats:italic>\u03b1<\/jats:italic>\n                    - cut approach and Zadeh\u2019s principle the fuzzy queues are changed into crisp queues in this paper. The membership function of the system characteristics is derived for different values of\n                    <jats:italic>\u03b1<\/jats:italic>\n                    . The numerical example is given to check the validity of the model.\n                  <\/jats:p>","DOI":"10.3233\/jifs-181433","type":"journal-article","created":{"date-parts":[[2019,6,21]],"date-time":"2019-06-21T11:48:26Z","timestamp":1561117706000},"page":"811-820","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["A single server retrial fuzzy queue with priority and unequal service rates"],"prefix":"10.1177","volume":"37","author":[{"given":"B.","family":"Kalpana","sequence":"first","affiliation":[{"name":"Research and Development Centre, Bharathiar University, Coimbatore, Tamilnadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N.","family":"Anusheela","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Government Arts College Ooty, Tamilnadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,6,19]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.17.4.B141"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(90)90204-J"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2003.10.041"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2005.06.002"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(93)90374-Q"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01148947"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(97)00078-3"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01158476"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.29.5.945"},{"key":"e_1_3_1_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01158878"},{"key":"e_1_3_1_12_2","article-title":"Postoptimal Analysis, Parametric Programming, and Related Topics. 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