Consider the production system for wrapping CDs which is depicted above. Each CD that arrives goes first to process 1 where the quality of the CD is checked. Next, the CD goes to process 2 where the CD is put into a jewel case. Finally at process 3 a booklet is put into the jewel case. The following data are available for this production system: -Every 14 minutes a CD arrives at the production line to be processed. -Process 1 consists of 2 parallel machines. One machine needs 10 minutes per CD. - Process 2 consists of 4 parallel machines. One machine needs 16 minutes per CD. -Process 3 consists of 2 parallel machines. One machine needs 18 minutes per CD. -Assume that transport from one process to the next does not require any time. What is the Work-In-Progress for this system, if calculated with Little's equation? Suppose an employee uses a machine to treat products in batches of 14 products at once. The time required to treat products equals 5 minutes per product plus 17 minutes setup time per batch. Production is halted during breaks. During a day, 19% of the time is lost on breaks on average (but the duration of the breakdowns is not constant). The process is operational 24 hours per day, 365 days per year (breaks excepted of course). The management considers hiring extra personnel to enable the machine to be operated during breaks as well. How many products could additionally (so expected products on top of current production) be produced per year if the machine would also operate during breaks? At a container terminal, 179 containers arrive per hour by truck. The length of a container can be 6, 12 or 14 metres. From past experience, it is known that 36% of the arriving containers have a length of 6 metres. Another 40% have a length of 12 metres and the remaining containers are 14 metres long. Every incoming container is first checked for damage by an employee. The time to check a container depends on the length of the container and follows a normal distribution. The mean time for checking a container equals 2.1 minutes per container plus 1.6 seconds per metre length of the container. So a 6 metre long container requires 135.6 seconds for checking. Checking time has a standard deviation of 19 seconds, regardless of container length. There are 10 employees working in parallel to check containers for damage. After checking, containers must be transported to the stack (the storage area). There are 76 transport vehicles available each of which transports 5 containers at a time. It takes 1.1 minutes per container to load the transport vehicle. Transport starts when 5 containers are loaded onto the vehicle. The travel time from the checking area to the stack is 15.6 minutes. At the stack the transport vehicle is unloaded, which can be done 9% faster than loading. The return trip of the vehicle is one minute faster, because the vehicle is now empty. The workload is spread evenly over the vehicles. What is the utilisation of the transport vehicles (expressed as a number between 0 and 1)? Consider the production system for wrapping CDs which is depicted above. Each CD that arrives goes first to process 1 where the quality of the CD is checked. Next, the CD goes to process 2 where the CD is put into a jewel case. Finally at process 3 a booklet is put into the jewel case. The following data are available for this production system: -Every 14 minutes a CD arrives at the production line to be processed. -Process 1 consists of 2 parallel machines. One machine needs 10 minutes per CD. - Process 2 consists of 4 parallel machines. One machine needs 16 minutes per CD. -Process 3 consists of 2 parallel machines. One machine needs 18 minutes per CD. -Assume that transport from one process to the next does not require any time. What is the Work-In-Progress for this system, if calculated with Little's equation? Suppose an employee uses a machine to treat products in batches of 14 products at once. The time required to treat products equals 5 minutes per product plus 17 minutes setup time per batch. Production is halted during breaks. During a day, 19% of the time is lost on breaks on average (but the duration of the breakdowns is not constant). The process is operational 24 hours per day, 365 days per year (breaks excepted of course). The management considers hiring extra personnel to enable the machine to be operated during breaks as well. How many products could additionally (so expected products on top of current production) be produced per year if the machine would also operate during breaks? At a container terminal, 179 containers arrive per hour by truck. The length of a container can be 6, 12 or 14 metres. From past experience, it is known that 36% of the arriving containers have a length of 6 metres. Another 40% have a length of 12 metres and the remaining containers are 14 metres long. Every incoming container is first checked for damage by an employee. The time to check a container depends on the length of the container and follows a normal distribution. The mean time for checking a container equals 2.1 minutes per container plus 1.6 seconds per metre length of the container. So a 6 metre long container requires 135.6 seconds for checking. Checking time has a standard deviation of 19 seconds, regardless of container length. There are 10 employees working in parallel to check containers for damage. After checking, containers must be transported to the stack (the storage area). There are 76 transport vehicles available each of which transports 5 containers at a time. It takes 1.1 minutes per container to load the transport vehicle. Transport starts when 5 containers are loaded onto the vehicle. The travel time from the checking area to the stack is 15.6 minutes. At the stack the transport vehicle is unloaded, which can be done 9% faster than loading. The return trip of the vehicle is one minute faster, because the vehicle is now empty. The workload is spread evenly over the vehicles. What is the utilisation of the transport vehicles (expressed as a number between 0 and 1)