{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T07:46:17Z","timestamp":1767339977654},"reference-count":0,"publisher":"Politechnika Wroclawska Oficyna Wydawnicza","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"abstract":"<jats:p>This paper deals with customers\u2019 impatience behaviour for single server Markovian queueing system under K-variant working vacation policy, waiting server, Bernoulli feedback, balking, reneging, and retention of reneged customers. Using probability generating function (PGF) technique, we obtain the steady-state solution of the system. In addition, we prove the stochastic decomposition properties. Useful performance measures of the considered queueing system are derived. A cost model is developed. Then, the parameter optimisation is carried out numerically, using quadratic fit search method (QFSM). Finally, numerical examples are provided in order to visualize the analytical results.<\/jats:p>","DOI":"10.37190\/ord200401","type":"journal-article","created":{"date-parts":[[2021,3,5]],"date-time":"2021-03-05T10:57:37Z","timestamp":1614941857000},"source":"Crossref","is-referenced-by-count":3,"title":["Impatient customers in Markovian queue with Bernoulli feedback and waiting server under variant working vacation policy"],"prefix":"10.37190","volume":"30","author":[{"given":"Amina Angelika","family":"Bouchentouf","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lahcene","family":"Yahiaoui","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mokhtar","family":"Kadi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shakir","family":"Majid","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23140","container-title":["Operations Research and Decisions"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.orduser.pwr.wroc.pl\/DownloadFile.aspx?aid=1522","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,15]],"date-time":"2022-09-15T13:25:07Z","timestamp":1663248307000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.orduser.pwr.wroc.pl\/DownloadFile.aspx?aid=1522"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.37190\/ord200401","relation":{},"ISSN":["2081-8858","2391-6060"],"issn-type":[{"value":"2081-8858","type":"print"},{"value":"2391-6060","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020]]}}}