کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1136366 1489156 2011 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The optimal control of an Mx/G/1Mx/G/1 unreliable server queue with two phases of service and Bernoulli vacation schedule
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
The optimal control of an Mx/G/1Mx/G/1 unreliable server queue with two phases of service and Bernoulli vacation schedule
چکیده انگلیسی

This paper deals with an MX/G/1MX/G/1 Bernoulli vacation queue with two phases of service and unreliable server under NN-policy. While the server is working with any phase of service, it may break down at any instant and the service channel becomes unavailable. The breakdown period is followed by a delay period. If no customer arrives when the server is unavailable, the server becomes idle in the system until the queue size builds up to a threshold value N(≥1)N(≥1). As soon as the queue size becomes at least NN, the server immediately begins to serve the waiting customers in two successive phases of service. The first phase of service is followed by a second phase, after the completion of which, the server may take a vacation or may remain in the system to serve the next unit, if any. We derive the queue size distribution at a random epoch and at a departure epoch, as well as various system performance measures. Finally, we derive a simple procedure to obtain the optimal stationary policy under a linear cost structure.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 54, Issues 1–2, July 2011, Pages 673–688
نویسندگان
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