What constitutes the queue in this particular situation

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Reference no: EM132285471

A one-car taxi company receives an average of 18 calls per day. The receptionist takes down details of the requested journey and relays them to the driver by radio. Each passenger’s journey takes 25 minutes on average. The working day is 12 hours long.

1. What constitutes the queue in this particular situation?

2. How long, on average, will a client have to wait between placing a pickup call and the arrival of the taxi?

3. During this waiting time, how many other clients on average will be picked up by the taxi? (Think about the number of people already waiting in queue when a customer arrives.)

4. List all the necessary assumptions for your calculations in (ii) and (iii). For each assumption, explain briefly whether you think they may or may not be realistic in this particular example.

5. What is the probability that the time between two successive calls will exceed one hour?

6. What would your answer to (ii) be if the mean of the service time remains the same but the standard deviation is 15 minutes? What type of queuing system is this?

Reference no: EM132285471

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