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Concepts of Queuing Models

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Added on  2021-04-17

Concepts of Queuing Models

   Added on 2021-04-17

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Concepts of Queuing models Queuing models depend on some parameters. They are as follows:1.The discipline of the queuing is the order in which customers enter and exit thequeue. 2.The probability distribution of service time to serve each customer3.The probability distribution of inter-arrival (time gap between two customersarriving time) time of customers4.Number of servers present in the model (C)5.Capacity of the queue modelCustomers can be served in first come first serve basis or last in last out (garage car parking)basis. Generally inter arrival time follows Poisson distribution and service time followsexponential distribution. Capacity can be finite or infinite of a model. For example ticketcounter at a railway station can give tickets to unlimited number of passengers but a doctorhas limited number of patients to accommodate in his chamber.Service rate is actually 1servicetimeand arrival rate is nothing but1interarrivaltime.In layman term, arrival rate is the number of customers arriving in the queue in an hour or ina minute. Similarly service rate is the number of customers served in the queue in an hour orin a minute. Now the model which DK follows is a single server but single capacity model. As FAZAcannot receive more than one call at a time, all the customers calling DK are not gettinganswered. Therefore queuing capacity of the model is one. Hence on an average FAZA can answer 22 calls in an hour but average number of callscoming to DK (including those answered and not answered) is 397calls. But what is theeffective arrival rate of customers because it hardly matters how many customers are calling.What matters is how many customers are calling when FAZA is free. That number has beencalculated as effective arrival rate.
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