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. (Author) |
| 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 |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Discouraged Arrivals | Reneging | Feedback | Retention of Reneged Customers | Transient Solution
|
| رابط المحتوى: |
| 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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