کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419792 1631772 2016 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Performance prediction of a discrete-time batch arrival retrial queue with Bernoulli feedback
ترجمه فارسی عنوان
پیش بینی عملکرد یک خط مجدد بار ورودی دسته ای مجزا با بازخورد برنولی
کلمات کلیدی
ورود رسمی، صف مجدد زمان مجدد، مشتری مورد نظر، مشتری ناپایدار، اندازه سیستم،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

This paper examines a discrete-time GeoX/G/1 retrial queue wherein the customer is feedback again to the head of the queue with some probability in case when he is unsatisfied with his service. This phenomenon is called as Bernoulli feedback. We consider that if the server is busy at the arrival epoch, the arriving customer either interrupts the customer in service to receive his own service with probability pα or joins the orbit with probability pα¯=p(1−α) or departs from the system completely with probability p¯=1−p. A customer under the above defined three situations is called as either preferred customer or repeated customer or impatient customer, respectively. On the other hand if the incoming customer finds the server idle, he starts his service immediately. The service time and retrial time are general distributed whereas batch size is geometric distributed. We use generating function method to derive expressions for system size, orbit size and other performance measures. Further we provide the continuous time equivalent of our model. Finally numerical results are given to show the effect of some critical system parameters on various performance measures.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 283, 20 June 2016, Pages 108-119
نویسندگان
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