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: |
الناشر لهذه المادة لم يسمح بإتاحتها. |
| LEADER | 02449nam a22002297a 4500 | ||
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| 001 | 1751641 | ||
| 024 | |3 10.21608/JSFC.2016.39233 | ||
| 041 | |a eng | ||
| 044 | |b مصر | ||
| 100 | |9 343143 |a El Paoumy, M. S. |e Author | ||
| 245 | |a Transient Analysis of a Finite Capacity Markovian Queuing System with Feedback, Discouraged Arrivals and Retention of Reneged Customers | ||
| 260 | |b جامعة الأزهر - كلية التجارة |c 2016 |g يوليو | ||
| 300 | |a 1 - 11 | ||
| 336 | |a بحوث ومقالات |b Article | ||
| 520 | |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. | ||
| 653 | |a الإحصاء |a سلسلة ماركوف | ||
| 692 | |b Discouraged Arrivals |b Reneging |b Feedback |b Retention of Reneged Customers |b Transient Solution | ||
| 773 | |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 | ||
| 856 | |n https://jsfc.journals.ekb.eg/article_39233.html |u 0797-000-016-007.pdf | ||
| 930 | |d n |p y |q n | ||
| 995 | |a EcoLink | ||
| 999 | |c 1011023 |d 1011023 | ||
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