Question 1 50 points Save Answer In a Tollgate single channel queuethe customers are serviced on a first come first served basis. Customers arrive at random from 1 to 6 minutes apart. The service times vary from 1 to 5 minutes. The following table gives the associated probabilities and assigned random numbers for inter arrival and service times. Is Marks) at And 4 Analyze the queuing system by simulating the arrival and service for the 6 customers. Obtain the simulated results for the queuing parameters and verify the same by using the formule (Table - 25 Marks, SMarks each for other answers) a) The average waiting time of a customer [b] The fraction of idle time of the server Average service time 1 The average time between arrivals (e) The average time customer spends in the system TTTT Paragraph Arial # 3 (12 #13 L Moving to another question will save this response. Question 1 In a Toll-gate single channel queue, the customers are serviced on a first-come-first-served ba apart. The service times vary from 1 to 5 minutes. The following table gives the associated pro and service times. (5 Marks) Customer Random Digits Inter-Arrival Random Digits and Service Times Time (Minutes) (Minutes 1 2 95 78 96 58 65 4 $ 3 2 5 90 85 86 98 62 57 3 4 2 $ 3 4 Analyze the queuing system by simulating the arrival and service for the 6 customers. Obta verify the same by using the formulae. (Table = 25 Marks, 5 Marks each for other answers) (a) The average waiting time of a customer (b) The fraction of idle time of the server (c) Average service time (d) The average time between arrivals (e) The average time customer spends in the system TT TT Paragraph Arial 3 (12pt) ET In a Toll gate single channel queue, the customers are serviced on a first come first served basis. Customers are random from 1 to apart. The service times vary from 1 to 5 minutes. The following table gives the associated probabilities and assigned to better and service times. (5 Marks) Come Random Digi Inter-Arry Regeri TM 1 2 3 90 4 3 95 78 96 58 65 M 98 6 2 2 5 3 37 Analyze the queuing system by simulating the arrival and service for the 6 customers. Obtain the simulated results for the queuing parameters and verify the same by using the formulae. (Table = 25 Marks, 5 Marks each for other answers) (a) The average waiting time of a customer (b) The fraction of idle time of the server (C) Average service time (d) The average time between arrivals (e) The average time customer spends in the system TTTT Paragraph Arial 3 (12pt) - - T- 111 conds. this response Question 1 of 2 50 points Save Answer tomers are serviced on a first-come-first-served basis. Customers arrive at random from 1 to 6 minutes nutes. The following table gives the associated probabilities and assigned random numbers for inter-arrival delow The 12 5 rival and service for the 6 customers. Obtain the simulated results for the queuing parameters and "s)