UAN301C Assignment No: 4 due by Thursday, April 6, 2017 by 4.00 pm Read the following instructions carefully before start solving your assignment. 1 Each student is assigned one question. If your student ID ends in odd number your assigned problem is problem 1. If your student ID ends in even number your assigned problem is problem 2. 1 Assignment No: 4 QUAN301C Spring 2017 Problem: 1 (ID ends in even number) I have read and understand the AUD Honor Code and related procedures contained in the Student Handbook 2016-2017 on pages 72-78. Name: __________________ID: ________________ Signature: ____________ Question: A leading commercial bank manager plans to evaluate quality of service at one of her at Al Barsha. She plans to evaluate whether the current policies of maintaining the average waiting time below 2 minutes and the average queue length below 2 are met or not based on the current pattern of arrival and service time distribution. Complete the missing entries of the partial simulation output of 20 customers and answer the following questions a. Complete the missing cell values (50 marks) Inter arrival time Custome r No 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Probability RN1 range Service time 0 1 0.12 0.03 0.00 0.11 0.12 0.14 1 2 2 0.20 0.15 3 3 0.25 4 0.25 5 0.15 RN1 0 0.95 0.42 0.74 0.36 0.20 0.26 0.27 0.10 0.33 0.47 0.48 0.94 0.26 0.76 0.18 0.20 0.11 0.95 Inter arrival time 0 5 3 4 3 2 2 2 0 2 3 3 5 2 4 2 2 0 5 0.34 0.35 0.59 0.60 0.84 0.85 0.99 Arrival time 0 5 8 12 15 17 19 21 21 23 27 31 36 38 42 42 44 44 49 Probability RN2 0.22 0.00 0.21 0.28 0.22 0.49 0.5 0.25 0.74 4 0.25 0.75 0.99 Start of service RN2 Servic e time End of service Wait time Q length 0 5 8 12 16 19 21 24 26 28 29 31 36 38 42 42 44 46 50 0 0.19 0.29 0.93 0.55 0.27 0.59 0.24 0.32 0.08 0.26 0.75 0.05 0.46 0.20 0.07 0.26 0.93 0.84 0 1 2 4 3 2 3 2 2 1 2 4 1 2 1 1 2 4 4 0 6 10 16 19 21 24 26 28 29 31 36 37 39 41 43 46 50 54 0 0 0 0 1 2 2 3 5 5 2 0 0 0 0 0 0 2 1 0 0 0 0 1 1 1 1 2 3 2 0 0 0 0 0 0 1 1 2 19 20 0.30 0.05 2 0 51 51 54 58 0.76 0.02 4 1 58 59 3 7 1 2 3 b. How many customers do not wait for service? (5 marks) c. What percentage of customer needs exactly 4 minutes service time? (10 marks) d. What is the average waiting time in minutes? Does this satisfy the current policy? Provide your explanation. (10 marks) e. What is the average queue length? Does this satisfy the current policy? Comment on this (10 marks) f. How many customers enter and leave the system in three or fewer minutes? (10 marks) g. Using the knowledge you gained in the queueing models, find the arrival rate and service rate. (5marks) 4