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Transient Analysis of a Finite Capacity Markovian Queuing System with Feedback, Discouraged Arrivals and Retention of Reneged Customers

المصدر: المجلة العلمية لقطاع كليات التجارة
الناشر: جامعة الأزهر - كلية التجارة
المؤلف الرئيسي: El Paoumy, M. S. (Auth)
المجلد/العدد: ع16
محكمة: نعم
الدولة: مصر
التاريخ الميلادي: 2016
الشهر: يوليو
الصفحات: 1 - 11
DOI: 10.21608/JSFC.2016.39233
ISSN: 2636-3674
رقم MD: 1011023
نوع المحتوى: بحوث ومقالات
اللغة: الإنجليزية
قواعد المعلومات: EcoLink
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المستخلص: This paper analyze a finite capacity Markovian feedback queue with discouraged arrivals, reneging and retention of reneged customers in which the inter-arrival and service times follow exponential distribution. The transient solution of the system, with results in terms of the eigenvalues of a symmetric tri-diagonal matrix. Feedback in queuing literature represents customer dissatisfaction because of inappropriate quality of service. In case of feedback, after getting partial or incomplete service, customer retries for service . After the completion of service , each customer may rejoin the system as a feedback customer for receiving another regular service with probability or he can leave the system with probability A reneged customer can be retained in many cases by employing certain convincing mechanisms to stay in queue for completion of service. Thus, a reneged customer can be retained in the queuing system with probability or he may leave the queue without receiving service with probability . Expressing the Laplace transforms of the system of governing equations in matrix form and using the properties of symmetric tri-diagonal matrices, the steady state probabilities are derived and some important queuing models are derived as special cases of this model.

ISSN: 2636-3674

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