Economic and Sensitivity Analyses of Controllable Queues With Customer Feedback and Impatience Using Markovian Modeling
The present investigation proposes a unique strategy for the establishment of a controllable queuing system using Markovian modeling. In comparison to conventional models, this approach combines customer impatience, feedback procedure, and working vacation into the statistical modeling of queues in...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/9648114 |
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| author | Shreekant Varshney Mankumar Acharya Zala Jenishkumar Kanjibhai Mukesh Pushkarna Walid El-Shafai Ievgen Zaitsev |
| author_facet | Shreekant Varshney Mankumar Acharya Zala Jenishkumar Kanjibhai Mukesh Pushkarna Walid El-Shafai Ievgen Zaitsev |
| author_sort | Shreekant Varshney |
| collection | DOAJ |
| description | The present investigation proposes a unique strategy for the establishment of a controllable queuing system using Markovian modeling. In comparison to conventional models, this approach combines customer impatience, feedback procedure, and working vacation into the statistical modeling of queues in a novel manner. These aspects contain enormous potential for practical applications but require additional evaluation from an operational or customer service perspective through dynamic investigation. Effective management of customer arrival, as well as departure, can be achieved by the explicit modeling of control strategies rendered feasible by the suggested queuing-theoretic framework. The study shows how the queue-size distribution has evolved over time using the Laplace transformation approach. Furthermore, extensive numerical illustrations based on optimal and sensitivity investigations are carried out covering multiple system parameters to confirm the significance of this unique approach. The findings of the study, which are based on stochastic modeling, are shown both tabularly and graphically. Moreover, the research findings obtained through the economic and sensitivity investigations significantly differentiate the aforementioned approach from the current literature by providing enhanced management and applicability to practical queuing circumstances. |
| format | Article |
| id | doaj-art-468d54ce347f4ede895bb48049fc4a5d |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-468d54ce347f4ede895bb48049fc4a5d2025-01-29T05:00:04ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/9648114Economic and Sensitivity Analyses of Controllable Queues With Customer Feedback and Impatience Using Markovian ModelingShreekant Varshney0Mankumar Acharya1Zala Jenishkumar Kanjibhai2Mukesh Pushkarna3Walid El-Shafai4Ievgen Zaitsev5Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Electrical EngineeringAutomated Systems and Soft Computing Lab (ASSCL)Department of Theoretical Electrical Engineering and Diagnostics of Electrical EquipmentThe present investigation proposes a unique strategy for the establishment of a controllable queuing system using Markovian modeling. In comparison to conventional models, this approach combines customer impatience, feedback procedure, and working vacation into the statistical modeling of queues in a novel manner. These aspects contain enormous potential for practical applications but require additional evaluation from an operational or customer service perspective through dynamic investigation. Effective management of customer arrival, as well as departure, can be achieved by the explicit modeling of control strategies rendered feasible by the suggested queuing-theoretic framework. The study shows how the queue-size distribution has evolved over time using the Laplace transformation approach. Furthermore, extensive numerical illustrations based on optimal and sensitivity investigations are carried out covering multiple system parameters to confirm the significance of this unique approach. The findings of the study, which are based on stochastic modeling, are shown both tabularly and graphically. Moreover, the research findings obtained through the economic and sensitivity investigations significantly differentiate the aforementioned approach from the current literature by providing enhanced management and applicability to practical queuing circumstances.http://dx.doi.org/10.1155/jom/9648114 |
| spellingShingle | Shreekant Varshney Mankumar Acharya Zala Jenishkumar Kanjibhai Mukesh Pushkarna Walid El-Shafai Ievgen Zaitsev Economic and Sensitivity Analyses of Controllable Queues With Customer Feedback and Impatience Using Markovian Modeling Journal of Mathematics |
| title | Economic and Sensitivity Analyses of Controllable Queues With Customer Feedback and Impatience Using Markovian Modeling |
| title_full | Economic and Sensitivity Analyses of Controllable Queues With Customer Feedback and Impatience Using Markovian Modeling |
| title_fullStr | Economic and Sensitivity Analyses of Controllable Queues With Customer Feedback and Impatience Using Markovian Modeling |
| title_full_unstemmed | Economic and Sensitivity Analyses of Controllable Queues With Customer Feedback and Impatience Using Markovian Modeling |
| title_short | Economic and Sensitivity Analyses of Controllable Queues With Customer Feedback and Impatience Using Markovian Modeling |
| title_sort | economic and sensitivity analyses of controllable queues with customer feedback and impatience using markovian modeling |
| url | http://dx.doi.org/10.1155/jom/9648114 |
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