03-1 - Quantitative Analysis The Investment Department in Emirates NBD is considering recruiting a real estate specialised office Based on interest the marketing department on the real estate information, the people will arrive at the tank at the rate of 20 per hours away of 2 minutes to answer an enquiry (30 per hour. It is assumed that arrivals are Poisson and answer times are exponente Apply the queuing (Waiting Line) modeling concepts to: a) What will be the probability that the Real State Officer is idle? b) Compute the proportion of the time that the Real State Officer is busy. c) Compute the average number of people receiving and waiting to receive information d) What will be average number of people waiting in line to get information? e) Compute the average time a person seeking information spends at the bank. What will be the expected time a person spends just waiting in line to have a question answered? g) Compute the probability that there will be more than 5 people in the system. Recognize the type of waiting line and choose among M/M/and M/M/2 equations SpleChan Medal, Anale, Berd Time (M/4/4) L-The evene rumber of customers arms in the tem L- 18-21 W-The average time a customer spends in the system LQ-The average number of customers in the queue M(-2) Wg - The average time a customer spends waiting in the queue W- Mu-2) A- The utilization factor for the system, the probability the service facility is being used A P. The percent idle time, or the probability no one is in the system P=1- - U The probability that the number of customers in the system is greater than k, Prek Pok Iguations for the channel quing mode mnumber of channel open evenge arrival rate le average servicerate at each channel The probability that there are zero customers in the system P for mu> 1 2:00) mu mu-2 The average number of customers or units in the system L= (17)" Pot 2 (m - 1)!(mu-2) M The average time a unit spends in the waiting line or being served in the system W= u(1/2) 1 L P + (m - 1)!(my-2) u 1 4. The average number of customers or units in line waiting for service L=L-2 11 The average number of customers or units in line waiting for service W=W--- 1 L The average number of customers or units in line waiting for service P=