Instructions: Assignment (15%) Instructions: 1. This is an assignment done in groups of 3 or 4. Submit your group members’ name (3 or 4 members in a group) to your respective tutor. 2. The date for the submission and demo is on Monday of Week 13. Please hand in the FreeMat code in CD together with the hardcopy of the report. Label your CD with the names of your group members and provide an e-mail address for contact purposes. All the group members’ MUST attend the demo. 3. For the report, write down the detail of your simulation, construct the diagram such as flow-chart for each simulation and provide all outputs, table( service time, inter-arrival time and simulation) and results (evaluation results). 4. Creativity and extra effort will grant higher marks. 5. Plagiarism is not accepted under any circumstances. Zero marks will be given for any form of plagiarism such as copying from senior’s work. Queue simulator for service counters Create a simulator for customer arrivals at any service provider. Choose a service provider such as bank, post office, telecommucation, etc. The simulation system should be able to simulate a queuing system at most for three different types of services. Different types of services will be served by different counters. Each service type should have at least two serving counters. For example services provided by a bank: Service Type Details Counter 1 Deposit services, wire transfer services and etc 1,2,3 2 New Account opening, ATM card replacement and etc 4,5 3 Investment and loan consultancy 6,7 Firstly display the above table at the beginning of the simulation. Secondly, generate and display the table of the service type, service time and inter-arrival time. Service type 1 2 3 Probability CDF Range Service Time for service type 1 ……… Probability …… CDF Range Service Time for service type 2 ……… Probability …… CDF Range Service Time for service type 3 ……… Probability …… CDF Range Inter-arrival Time …….. Probability …….. CDF Range Before the simulation starts, user should be able to prefix/select the counters that are in operation and counters that are not in operation. During the simulation more counters should be opened if there is a need (Set the conditions for this). For example, when there are too many customers in queue, there is a need for specific type of services and so on. For generation of random numbers for the types of services, service time and inter- arrival time, you can consider rand function from FreeMat, linear congruential generators or other generators. User should be able to choose the type of random number generator to be used before the simulation. Use rand function to generate the seed number for the different generators. Adjust the range of random numbers so that they are within the appropriate range. For further details please refer to Chapter 4. On top of these, a) user should be able to select the number of customers, b) exhibit the message for the counter operating status, arrival, departure of the customers and so on from time to time. For example: Counter 1 and Counter 3 are in operation. Arrival of first customer at minute 0 and the queue number is 1001 Arrival of second customer at minute 2 and queue at the counter 2001 Departure of first customer at minute 4. Service for second customer started at minute 2. Counter 2 started operation at minute 3. After the simulation, display the table of the simulation as the following example: Service type 1: n RN for Inter- arrival time Inter- arrival time Arrival time RNs for the service type Type of services Queue number 1 - 1001 2 2001 3 1002 4 1003 5 2002 6 3001 Queue number Counter number RN for service time Service time Time service begins Time service ends Waiting time Time spends in the system 1001 1 1003 2 1002 1 Service type 2: Service type 3: Then evaluate the results of the simulation, for example average inter-arrival time, average waiting time for each service type, average time spent for each service type, probability that a customer has to wait in the queue for each service type, and average service time each for each service type (refer to the example in the notes). Queue number Counter number RN for service time Service time Time service begins Time service ends Waiting time Time spends in the system 2001 3 2002 4 Queue number Counter number RN for service time Service time Time service begins Time service ends Waiting time Time spends in the system 3001 5