Using the Poisson queueing model to improve the queue in Periodic Vehicles Inspection PVI company in Erbil city
In this research we have dealt with the number of customers (cars) arrive at Periodic vehicles Inspection (PVI) company in Erbil city according to poisson process, service time follows an exponential distribution and the number of cars that require repair following a binomial distribution with a ce...
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| Format: | Article |
| Language: | Arabic |
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Salahaddin University-Erbil
2022-12-01
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| Series: | Zanco Journal of Humanity Sciences |
| Subjects: | |
| Online Access: | https://zancojournal.su.edu.krd/index.php/JAHS/article/view/306 |
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| author | Bestun Merza Abdul-Kareem Shvan Amir Hamanoory |
| author_facet | Bestun Merza Abdul-Kareem Shvan Amir Hamanoory |
| author_sort | Bestun Merza Abdul-Kareem |
| collection | DOAJ |
| description |
In this research we have dealt with the number of customers (cars) arrive at Periodic vehicles Inspection (PVI) company in Erbil city according to poisson process, service time follows an exponential distribution and the number of cars that require repair following a binomial distribution with a certain probability.
In this work the basic concepts of queueing theory are defined and the poisson queue model with multichannel homogeneous parallel servers in terms of steady state is derived.
In order to achive the objectives of this research, the data about the failure car components as (Tires, Lights, Brakes and Engine) which are inspected by PVI company are obtained From Erbil traffic directorate, from the available data. the probabilities of the failure car components (Tires, Lights, Brakes and engine), the probability of the number of cars in the system, the probability of the number of cars that require repair and they will return to the system are defined, also the measures of performance of the queuing system are determined.
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| format | Article |
| id | doaj-art-218af95b36f2463691bf6ffdfe70021f |
| institution | DOAJ |
| issn | 2412-396X |
| language | Arabic |
| publishDate | 2022-12-01 |
| publisher | Salahaddin University-Erbil |
| record_format | Article |
| series | Zanco Journal of Humanity Sciences |
| spelling | doaj-art-218af95b36f2463691bf6ffdfe70021f2025-08-20T03:06:21ZaraSalahaddin University-ErbilZanco Journal of Humanity Sciences2412-396X2022-12-0126610.21271/zjhs.26.6.19Using the Poisson queueing model to improve the queue in Periodic Vehicles Inspection PVI company in Erbil cityBestun Merza Abdul-Kareem0Shvan Amir Hamanoory1College of Management & Economics, Department of Statistics, Salahaddin University-ErbilCollege of Management & Economics, Department of Statistics, Salahaddin University-Erbil In this research we have dealt with the number of customers (cars) arrive at Periodic vehicles Inspection (PVI) company in Erbil city according to poisson process, service time follows an exponential distribution and the number of cars that require repair following a binomial distribution with a certain probability. In this work the basic concepts of queueing theory are defined and the poisson queue model with multichannel homogeneous parallel servers in terms of steady state is derived. In order to achive the objectives of this research, the data about the failure car components as (Tires, Lights, Brakes and Engine) which are inspected by PVI company are obtained From Erbil traffic directorate, from the available data. the probabilities of the failure car components (Tires, Lights, Brakes and engine), the probability of the number of cars in the system, the probability of the number of cars that require repair and they will return to the system are defined, also the measures of performance of the queuing system are determined. https://zancojournal.su.edu.krd/index.php/JAHS/article/view/306compound of Poisson process and binomial distribution, birth and death process, The Poisson queue model with multi servers. |
| spellingShingle | Bestun Merza Abdul-Kareem Shvan Amir Hamanoory Using the Poisson queueing model to improve the queue in Periodic Vehicles Inspection PVI company in Erbil city Zanco Journal of Humanity Sciences compound of Poisson process and binomial distribution, birth and death process, The Poisson queue model with multi servers. |
| title | Using the Poisson queueing model to improve the queue in Periodic Vehicles Inspection PVI company in Erbil city |
| title_full | Using the Poisson queueing model to improve the queue in Periodic Vehicles Inspection PVI company in Erbil city |
| title_fullStr | Using the Poisson queueing model to improve the queue in Periodic Vehicles Inspection PVI company in Erbil city |
| title_full_unstemmed | Using the Poisson queueing model to improve the queue in Periodic Vehicles Inspection PVI company in Erbil city |
| title_short | Using the Poisson queueing model to improve the queue in Periodic Vehicles Inspection PVI company in Erbil city |
| title_sort | using the poisson queueing model to improve the queue in periodic vehicles inspection pvi company in erbil city |
| topic | compound of Poisson process and binomial distribution, birth and death process, The Poisson queue model with multi servers. |
| url | https://zancojournal.su.edu.krd/index.php/JAHS/article/view/306 |
| work_keys_str_mv | AT bestunmerzaabdulkareem usingthepoissonqueueingmodeltoimprovethequeueinperiodicvehiclesinspectionpvicompanyinerbilcity AT shvanamirhamanoory usingthepoissonqueueingmodeltoimprovethequeueinperiodicvehiclesinspectionpvicompanyinerbilcity |