1. Read above informations carefully. Customers arrive to a famous fast food restaurant Car Service at Bagdat Street with their cars, have their meals and leave the system. Both interarrival times and service times are exponentially distributed according to following functions.

Interarrival times ~ Exponential ()	Service times ~ Exponential ()
=1X+1 , if 0X21X , if 3X61X-1 , if 7X9	=1X+2 , if 0X21X+1 , if 3X61X , if 7X9

Hint : and are rates, not mean values. Simulate the system for first 5 customers and calculate the following performance measures? Assume first arrival occurs at time 0.0 (T=0) and system is initially empty. Use random numbers given at Table 1 in 4 digits and construct your table with at least 2 digits.

Table 1. Random numbers (RN) :

a) What is average server utilization? (20p)

b) What is the average queue length? (20p)

c) What is the average time that a customer waits in the queue? (20p)

d) Find the maximum value of number waiting in the queue and maximum waiting time in the queue? (20p)

e) What do you think about utilization value? Is it efficient and realistic? (20p)

RN for Interarrival times	RN for Service times
0,4051	0,4563
0,6239	0,3058
0,5748	0,8823
0,0384	0,4084
0,0687	0,1724