Q1. [16] True/False Problem: choose True or False for each following statements. (Each 2 points) (1) Simulation is used generally for the analysis of an existing system. However, simulation is not appropriate to be used for the design of a new system. (True / False) (2) Usually, the exponential distribution is used to describe the pattern of the time duration until some event happens or until some process stops. (True / False) (3) Suppose that customers arrive randomly according to a Poisson process in a Simio simulation model. When we run the model for the first time, the interarrival time between 0 and the first customer's arrival in the first replication was 1 min. After finishing the current run, if we run the model again, the interarrival time between 0 and the first customer's arrival in the first replication would be different to 1 min because the interarrival time is created randomly by Simio. (True / False) (4) Suppose that the waiting time of customers follows an exponential distribution. Then, P(Waiting 3 hour) = P(Waiting 2 hours additionally after waiting 1 hour already) (True / False) (5) If we run the Simio model with 2 replications, the performance metrics from the first replication will be the same as those from the second replication. (True / False) (6) To decide the replication size of the Simio simulation model approximately without knowing the standard deviation, first, we need to run the model with an arbitrary initial replication number to check the half-width of the confidence interval of a point estimate. (True / False) (7) In the M/M/1 queuing system, the waiting time in the queue follows an exponential distribution. (True / False) (8) If we increase the number of replications in the setup of Simio, the half-width of the confidence interval of a point estimate in the report is expected to decrease. (True / False)

Q1. [16] True/False Problem: choose True or False for each following statements. (Each 2 points) (1) Simulation is used generally for the analysis of an existing system. However, simulation is not appropriate to be used for the design of a new system. (True / False) (2) Usually, the exponential distribution is used to describe the pattern of the time duration until some event happens or until some process stops. (True / False) (3) Suppose that customers arrive randomly according to a Poisson process in a Simio simulation model. When we run the model for the first time, the interarrival time between 0 and the first customer's arrival in the first replication was 1min. After finishing the current run, if we run the model again, the interarrival time between 0 and the first customer's arrival in the first replication would be different to 1min because the interarrival time is created randomly by Simio. (True/ False) (4) Suppose that the waiting time of customers follows an exponential distribution. Then, P( Waiting 3 hour )=P( Waiting 2 hours additionally after waiting 1 hour already) (True / False) (5) If we run the Simio model with 2 replications, the performance metrics from the first replication will be the same as those from the second replication. (True / False) (6) To decide the replication size of the Simio simulation model approximately without knowing the standard deviation, first, we need to run the model with an arbitrary initial replication number to check the half-width of the confidence interval of a point estimate. (True / False) (7) In the M/M/1 queuing system, the waiting time in the queue follows an exponential distribution. (True / False) (8) If we increase the number of replications in the setup of Simio, the half-width of the confidence interval of a point estimate in the report is expected to decrease. (True / False)