Question 3. (30 marks) Consider a system with a single workstation that processes jobs one at a time. Jobs arrive to the factory at a rate of one per hour. An analysis of the arrival data indicates that these inter-arrival times have a squared coefficient of variation (i.e. c) of 1.5. The mean process time is 0.75 hour per job with an SCV (i.e. c) of 2. The company policy is to work on orders 5 at a time. That is, orders are held until there are 5 jobs, then this group of jobs as a batch is released into the queue for processing. Initially, the tray is empty: The batch starts to form: When a batch of 5 jobs is formed, the batch is submitted to the queue. tray Machine to the departure batching area The machine processes the jobs one at a time. 3 Then, upon being finished processed by the machine, each job is immediately sent to a "departure batching area. There, a batch of 15 jobs is formed and the whole batch will exit the system (being transported to the customers). Determine the following: Compute the average total cycle time for this system. (Note: The total cycle time of a job is the time duration from the moment the job arrives at the factory until the moment it exits the system with its batch.) Question 3. (30 marks) Consider a system with a single workstation that processes jobs one at a time. Jobs arrive to the factory at a rate of one per hour. An analysis of the arrival data indicates that these inter-arrival times have a squared coefficient of variation (i.e. c) of 1.5. The mean process time is 0.75 hour per job with an SCV (i.e. c) of 2. The company policy is to work on orders 5 at a time. That is, orders are held until there are 5 jobs, then this group of jobs as a batch is released into the queue for processing. Initially, the tray is empty: The batch starts to form: When a batch of 5 jobs is formed, the batch is submitted to the queue. tray Machine to the departure batching area The machine processes the jobs one at a time. 3 Then, upon being finished processed by the machine, each job is immediately sent to a "departure batching area. There, a batch of 15 jobs is formed and the whole batch will exit the system (being transported to the customers). Determine the following: Compute the average total cycle time for this system. (Note: The total cycle time of a job is the time duration from the moment the job arrives at the factory until the moment it exits the system with its batch.)