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|3 10.21608/JSFC.2016.39233
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|a eng
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|b مصر
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100 |
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|9 343143
|a El Paoumy, M. S.
|e Author
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|a Transient Analysis of a Finite Capacity Markovian Queuing System with Feedback, Discouraged Arrivals and Retention of Reneged Customers
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|b جامعة الأزهر - كلية التجارة
|c 2016
|g يوليو
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|a 1 - 11
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|a بحوث ومقالات
|b Article
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|b 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.
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|a الإحصاء
|a سلسلة ماركوف
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692 |
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|b Discouraged Arrivals
|b Reneging
|b Feedback
|b Retention of Reneged Customers
|b Transient Solution
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773 |
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|4 الاقتصاد
|4 إدارة الأعمال
|6 Economics
|6 Management
|c 007
|e Scientific Journal of the Faculty of Commerce
|f Al-Maǧallah al-ʿilmiyyaẗ li Qitāʿ Kulliyyāẗ al-tiǧāraẗ bi Ǧāmiʿaẗ al-Azhar
|l 016
|m ع16
|o 0797
|s المجلة العلمية لقطاع كليات التجارة
|v 000
|x 2636-3674
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856 |
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|n https://jsfc.journals.ekb.eg/article_39233.html
|u 0797-000-016-007.pdf
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|d y
|p y
|q n
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|a EcoLink
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|c 1011023
|d 1011023
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