دراسة أداء) M / M أ ، ب / 1 / MWV (مع التقسيم في فترة العمل
DOI:
https://doi.org/10.21123/bsj.2024.9155الكلمات المفتاحية:
انفصال، دولة مشغولة، حالة خمول، إجازة عمل متعددة، حالة العملالملخص
في هذه الورقة ، نقوم بتحليل M / M (أ ، ب) / 1 / MWV مع الانهيار. بدلاً من أن يكون الخادم خاملاً تمامًا خلال فترة الإجازة ، يخدم الخادم بمعدل مختلف أثناء إجازات العمل المتعددة. يختلف سعر الخدمة حسب حالة الوصول. يصل العميل إلى النظام مع المعلمة λ_v يتبع خادم توزيع Poisson الذي يوفر الخدمة مع المعلمة μ وتحت خادم الإجازات المتعددة العامل يوفر الخدمة مع المعلمة μ_v مع التوزيع الأسي. في هذا النموذج ، يتم تقديم دفعات العملاء بموجب القاعدة العامة للخدمة المجمعة. وبالتالي تحتوي كل دفعات من الخدمة على وحدات "أ" كحد أدنى وحد أقصى "ب". لنفترض أن العملاء المنتظرين في قائمة الانتظار أقل من خادم يبدأ متغيرًا عشوائيًا V للعطلة مع المعلمة η. هنا يحدث الانهيار β_v أثناء حالة الانشغال. قمنا بتحليل معادلة الحالة المستقرة ومقاييس الأداء للنظام. تحليل أداء مختلف ، أي متوسط الطول وخصائص أخرى مثل احتمال تحليل الخادم في فترة الخمول ، والانشغال المنتظم ، والإجازة المزدحمة. نقوم أيضًا بحساب النتائج باستخدام نماذج الإجازات المتعددة الكلاسيكية وعطلات العمل المتعددة.
Received 31/05/2023
Revised 27/04/2023
Accepted 29/04/2024
Published Online First 20/07/2024
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الحقوق الفكرية (c) 2024 Lidiya P, K Julia Rose Mary
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