{"id":1303,"date":"2023-07-26T23:01:09","date_gmt":"2023-07-26T23:01:09","guid":{"rendered":"https:\/\/statorials.org\/tr\/erlangda-dagitim\/"},"modified":"2023-07-26T23:01:09","modified_gmt":"2023-07-26T23:01:09","slug":"erlangda-dagitim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/erlangda-dagitim\/","title":{"rendered":"Erlang da\u011f\u0131l\u0131m\u0131 nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Erlang da\u011f\u0131l\u0131m\u0131,<\/strong> bir anahtarlama istasyonu operat\u00f6r\u00fcn\u00fcn ayn\u0131 anda alabilece\u011fi telefon \u00e7a\u011fr\u0131lar\u0131n\u0131n say\u0131s\u0131n\u0131 modellemek i\u00e7in orijinal olarak <a href=\"https:\/\/en.wikipedia.org\/wiki\/Agner_Krarup_Erlang\" target=\"_blank\" rel=\"noopener\">AK Erlang<\/a> taraf\u0131ndan olu\u015fturulan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131t\u0131m, telefon trafi\u011fi m\u00fchendisli\u011finde, kuyruk sistemlerinde, matematiksel biyolojide ve di\u011fer alanlarda \u00e7e\u015fitli ger\u00e7ek d\u00fcnya olaylar\u0131n\u0131 modellemek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Erlang da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zellikleri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Erlang da\u011f\u0131l\u0131m\u0131 a\u015fa\u011f\u0131daki olas\u0131l\u0131k yo\u011funluk fonksiyonuna sahiptir:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">f(x; k, \u03bc) = x <sup>k-1<\/sup> e <sup>-x\/\u03bc<\/sup> \/ \u03bc <sup>k<\/sup> (k-1)!<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> \u015eekil parametresi. Pozitif bir tamsay\u0131 olmal\u0131d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc:<\/strong> \u00d6l\u00e7ek parametresi. Pozitif bir ger\u00e7ek say\u0131 olmal\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u015eekil parametresi <em>k<\/em> yaln\u0131zca pozitif ger\u00e7ek tamsay\u0131larla s\u0131n\u0131rl\u0131 oldu\u011funda, Erlang da\u011f\u0131l\u0131m\u0131n\u0131n Gama da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zel bir durumu oldu\u011fu ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6l\u00e7ek parametresinin h\u0131z parametresi \u03bb&#8217;n\u0131n tersi oldu\u011funa dikkat edin, yani \u03bc = 1\/\u03bb.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Erlang da\u011f\u0131l\u0131m\u0131 a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Ortalama:<\/strong> k\/\u03bb<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Mod:<\/strong> (k-1)\/\u03bb<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Fark:<\/strong> k\/\u03bb <sup>2<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Asimetri:<\/strong> 2\/\u221ak<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>D\u00fczle\u015ftirme:<\/strong> 6\/k<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Erlang da\u011f\u0131l\u0131m\u0131n\u0131n di\u011fer da\u011f\u0131l\u0131mlarla a\u015fa\u011f\u0131daki ili\u015fkileri vard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u015eekil parametresi k 1&#8217;e e\u015fit oldu\u011funda Erlang da\u011f\u0131l\u0131m\u0131 <a href=\"https:\/\/statorials.org\/tr\/ustel-dagilim-1\/\" target=\"_blank\" rel=\"noopener\">\u00fcstel da\u011f\u0131l\u0131ma<\/a> e\u015fittir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6l\u00e7ek parametresi \u03bc 2&#8217;ye e\u015fit oldu\u011funda, Erlang da\u011f\u0131l\u0131m\u0131 2 serbestlik derecesine sahip bir Ki-kare da\u011f\u0131l\u0131m\u0131na e\u015fittir.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Erlang da\u011f\u0131t\u0131m\u0131n\u0131 g\u00f6r\u00fcnt\u00fcleyin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki grafik, farkl\u0131 parametreler ald\u0131\u011f\u0131nda Erlang da\u011f\u0131l\u0131m\u0131n\u0131n \u015feklini g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12748 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/erlang1-1.png\" alt=\"Erlang da\u011f\u0131l\u0131m\u0131\" width=\"422\" height=\"425\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u015eekil ve \u00f6l\u00e7ek parametreleri i\u00e7in kullan\u0131lan de\u011ferlere ba\u011fl\u0131 olarak da\u011f\u0131l\u0131m\u0131n \u015feklinin ne kadar de\u011fi\u015fti\u011fini g\u00f6rmek ilgin\u00e7tir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not:<\/strong> Erlang da\u011f\u0131l\u0131mlar\u0131n\u0131n grafi\u011fini olu\u015fturmak i\u00e7in kullan\u0131lan R kodunu <a href=\"https:\/\/github.com\/Statorials\/Miscellaneous\/blob\/main\/plot_erlang.R\" target=\"_blank\" rel=\"noopener\">burada<\/a> bulabilirsiniz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Kullan\u0131m \u00f6rne\u011fi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Erlang da\u011f\u0131t\u0131m\u0131, a\u015fa\u011f\u0131dakiler de dahil olmak \u00fczere \u00e7e\u015fitli ger\u00e7ek d\u00fcnya ba\u011flamlar\u0131nda kullan\u0131l\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u00c7a\u011fr\u0131 merkezleri<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Erlang da\u011f\u0131l\u0131m\u0131, bir \u00e7a\u011fr\u0131 merkezine gelen \u00e7a\u011fr\u0131lar aras\u0131ndaki s\u00fcreyi ve beklenen \u00e7a\u011fr\u0131 say\u0131s\u0131n\u0131 modellemek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, \u00e7a\u011fr\u0131 merkezlerinin g\u00fcn\u00fcn farkl\u0131 saatlerinde personel kapasitesinin ne olmas\u0131 gerekti\u011fini bilmesine olanak tan\u0131r, b\u00f6ylece bir vardiya s\u0131ras\u0131nda \u00e7ok fazla \u00e7al\u0131\u015fan\u0131 i\u015fe alarak para kaybetmeden gelen aramalar\u0131 zaman\u0131nda halledebilirler. i\u015f verildi.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. T\u0131bbi Parametreler<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Erlang da\u011f\u0131l\u0131m\u0131, t\u0131bbi ortamlarda bir\u00e7ok farkl\u0131 uygulamaya sahip olan h\u00fccre d\u00f6ng\u00fcs\u00fc s\u00fcresinin da\u011f\u0131l\u0131m\u0131n\u0131 modellemek i\u00e7in yayg\u0131n olarak kullan\u0131lmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Perakende Ayarlar\u0131<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Erlang da\u011f\u0131l\u0131m\u0131 perakendeciler taraf\u0131ndan t\u00fcketici sat\u0131n alma gecikmelerinin s\u0131kl\u0131\u011f\u0131n\u0131 modellemek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, perakendecilere ve di\u011fer i\u015fletmelere, belirli bir t\u00fcketicinin kendilerinden bir \u00fcr\u00fcn veya hizmeti ne s\u0131kl\u0131kta sat\u0131n almas\u0131n\u0131n beklendi\u011fine dair bir fikir verir. Bu, i\u015fletmelerin envanteri kontrol etmesine ve personel al\u0131m\u0131na yard\u0131mc\u0131 olur.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> Normal da\u011f\u0131l\u0131ma giri\u015f<br \/> <a href=\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\" target=\"_blank\" rel=\"noopener\">Binom da\u011f\u0131l\u0131m\u0131na giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/balik-dagitimi\/\" target=\"_blank\" rel=\"noopener\">Poisson da\u011f\u0131l\u0131m\u0131na giri\u015f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Erlang da\u011f\u0131l\u0131m\u0131, bir anahtarlama istasyonu operat\u00f6r\u00fcn\u00fcn ayn\u0131 anda alabilece\u011fi telefon \u00e7a\u011fr\u0131lar\u0131n\u0131n say\u0131s\u0131n\u0131 modellemek i\u00e7in orijinal olarak AK Erlang taraf\u0131ndan olu\u015fturulan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r . Da\u011f\u0131t\u0131m, telefon trafi\u011fi m\u00fchendisli\u011finde, kuyruk sistemlerinde, matematiksel biyolojide ve di\u011fer alanlarda \u00e7e\u015fitli ger\u00e7ek d\u00fcnya olaylar\u0131n\u0131 modellemek i\u00e7in kullan\u0131l\u0131r. Erlang da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zellikleri Erlang da\u011f\u0131l\u0131m\u0131 a\u015fa\u011f\u0131daki olas\u0131l\u0131k yo\u011funluk fonksiyonuna sahiptir: f(x; k, \u03bc) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1303","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Erlang da\u011f\u0131l\u0131m\u0131 nedir? - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitim, resmi bir tan\u0131m ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere Erlang da\u011f\u0131t\u0131m\u0131na h\u0131zl\u0131 bir giri\u015f sa\u011flar.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/erlangda-dagitim\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Erlang da\u011f\u0131l\u0131m\u0131 nedir? 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