MEASURING THE COST FOR SOME SINGLE CHANNEL WAITING LINE MODELS | ||||
| المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر | ||||
| Article 15, Volume 19, Issue 1, 2018, Page 140-160 PDF (229.4 K) | ||||
| Document Type: المقالة الأصلية | ||||
| DOI: 10.21608/jsfc.2018.57125 | ||||
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| Author | ||||
| Doaa Ahmed Ali | ||||
| Doaa Ahmed Ali Elham Abdul-Razik Ismail Lobna Eid AL-Tayeb Faculty of Commerce Al-Azhar University (Girls’ Branch), Egypt - | ||||
| Abstract | ||||
| Queuing theory or waiting line models are basically a mathematical approach applied to the analysis of waiting lines. Most queuing models applications are centered on the question of finding the ideal level of services, waiting times and queue lengths. When an organization retain an excellent customer service. The customers are kept happy or satisfaction but for the an organization become expensive. Most managers recognize the trade – off that must take place between the cost of providing good service and the cost of customer waiting time. The objective of this study is to measure the cost for three single channel waiting line models. The aim of this study is to compare between three single channel waiting line models. The cost for the three single channel waiting line models is calculated with different distributions. The study results showed that the cost which calculated for the (M/D/1) model is less than the other two models when the same data are used. Second the results showed that the cost which calculated for the (M/G/1) model when the service rate (μ) is followed weibull distribution is less than the same model when the service rate (μ) is followed exponential and gamma distributions. | ||||
Highlights | ||||
Exponential distribution ; Gamma distribution; Poisson distribution; Single Channel | ||||
| Keywords | ||||
| Exponential distribution; Gamma distribution; Poisson distribution; Single Channel models; Waiting line cost; Weibull distribution | ||||
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