{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,26]],"date-time":"2026-04-26T09:14:41Z","timestamp":1777194881229,"version":"3.51.4"},"reference-count":23,"publisher":"Walter de Gruyter GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, we propose a Latin hypercube sampling (LHS) number generator in C language under Linux called getLHS in order to compare both methods LHS and refined descriptive sampling (RDS) method.\nIt was highly tested by adequate statistical tests and compared statistically to the getRDS number generator.\nWe noticed that getRDS has passed all tests better than the proposed getLHS generator.\nA simulation of M\/G\/1 queues is performed using getRDS to sample inputs from the RDS method and getLHS to sample inputs from the LHS method.\nThe results obtained through simulation demonstrate that the RDS method produces more accurate point estimates of the true parameters than the LHS method.\nMoreover, the RDS method can significantly improve the performance of the studied queues compared to the well-known LHS method since its variance reduction factor is quite good in almost all cases.\nIt is then proved that RDS is an improvement over LHS at least on queues.<\/jats:p>","DOI":"10.1515\/mcma-2019-2033","type":"journal-article","created":{"date-parts":[[2019,5,7]],"date-time":"2019-05-07T09:03:03Z","timestamp":1557219783000},"page":"177-186","source":"Crossref","is-referenced-by-count":4,"title":["Comparing M\/G\/1 queue estimators in Monte Carlo simulation through the tested generator \u201cgetRDS\u201d and the proposed \u201cgetLHS\u201d using variance reduction"],"prefix":"10.1515","volume":"25","author":[{"given":"Meriem","family":"Boubalou","sequence":"first","affiliation":[{"name":"Laboratoire de Math\u00e9matiques appliqu\u00e9es , FSE , Universit\u00e9 de Bejaia , 06000 , Bejaia , Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Megdouda","family":"Ourbih-Tari","sequence":"additional","affiliation":[{"name":"Institut des Sciences , Centre Universitaire Morsli Abdellah de Tipaza , 42020 , Tipaza ; and Laboratoire de Math\u00e9matiques appliqu\u00e9es, FSE, Universit\u00e9 de Bejaia, 06000, Bejaia , Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abdelouhab","family":"Aloui","sequence":"additional","affiliation":[{"name":"LiMed , FSE , Universit\u00e9 de Bejaia , 06000 , Bejaia , Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arezki","family":"Zioui","sequence":"additional","affiliation":[{"name":"Laboratoire de Math\u00e9matiques appliqu\u00e9es , FSE , Universit\u00e9 de Bejaia , 06000 , Bejaia , Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2019,5,7]]},"reference":[{"key":"2023040101340312543_j_mcma-2019-2033_ref_001_w2aab3b7b1b1b6b1ab1b6b1Aa","doi-asserted-by":"crossref","unstructured":"C.  Aistleitner, M.  Hofer and R.  Tichy,\nA central limit theorem for Latin hypercube sampling with dependence and application to exotic basket option pricing,\nInt. J. Theor. Appl. Finance 15 (2012), no. 7, Article ID 1250046.","DOI":"10.1142\/S021902491250046X"},{"key":"2023040101340312543_j_mcma-2019-2033_ref_002_w2aab3b7b1b1b6b1ab1b6b2Aa","unstructured":"A. O.  Allen,\nProbability, Statistics, and Queueing Theory. With Computer Science Applications, 2nd ed.,\nAcademic Press, Boston, 1990."},{"key":"2023040101340312543_j_mcma-2019-2033_ref_003_w2aab3b7b1b1b6b1ab1b6b3Aa","unstructured":"A.  Aloui and M.  Ourbih-Tari,\nThe use of refined descriptive sampling and applications in parallel Monte Carlo Simulation,\nComput. Inform. 30 (2011), 681\u2013700."},{"key":"2023040101340312543_j_mcma-2019-2033_ref_004_w2aab3b7b1b1b6b1ab1b6b4Aa","doi-asserted-by":"crossref","unstructured":"A.  Aloui, A.  Zioui, M.  Ourbih-Tari and A.  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