In this project we will build a simulation model for a furniture factory. This factory works...
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In this project we will build a simulation model for a furniture factory. This factory works 24 hours a day and we will run our model for 10 days. Woods (raw materials) arrive to system with an exponential distribution with mean 2.1 minutes, with the first arrival at time 0. Then, all woods go to preliminary quality control desk and the parts transferring time between the entrance to this desk takes uniform between 1.2 and 2.3 minutes. There are 5 preliminary quality control worker, fed by a single FIFO queue. The processing time for the preliminary quality control desk take triangular distribution with parameters 5.5, 6.7, 8.8 minutes. Then, they are separated according to the product to be made. 30% of them will be table, 55% chair, and the remaining 15% will be closet. If a table will be made, these woods will first enter drilling machine. Transferring time between preliminary quality control desk and drilling machine is distributed uniformly between 1.2 and 2.4 minutes. The processing time for this drilling machine triangular distribution with parameters minimum 5.5, mode 8.4 and maximum 10.2 minutes. In the first 12 hours, the capacity of the drilling machine is 3, and in the second 12 hours the capacity is 2 (fed by a single FIFO queue). In detail, the capacity changes immediately after the first 12 hours left. If a chair will be made, woods will enter CNC machine. The transferring time between preliminary quality control desk and CNC machine is distributed uniformly between 2.3 and 4.5 minutes. The processing time for CNC machine is triangular distribution with parameters 6.5, 9.2, 11.1. This CNC machine can serve 3 woods at a time. If a closet will be made, woods will enter paint station. Between preliminary quality control desk and paint station there is transferring time distributed uniformly between 3.3 and 4.5 minutes. In this paint station in the first 12 hours there are 4 workers, in the second 12 hours there are 3 workers. The processing time here is triangular distribution with parameters 7.1, 8.2, 9.3 minutes. Similarly, the workers leave immediately after the first 12 hours left. After the paint station, woods will wait in a waiting station for 1 hour. There is no capacity that how many woods can wait here. Finally, all parts enter a final assembly station and each wood travel here for uniform 2.5 and 4.4 minutes. There are 7 workers fed by a single FIFO queue. Final assembly times are dependent on product type. If a table is made the processing time at final assembly station takes triangular distribution with minimum 10, mode 12 and maximum 15 minutes. If a chair is made, the processing time at final assembly station takes triangular distribution with minimum 12, mode 13 and maximum 15 minutes. If a closet is made final assembly station takes triangular distribution with minimum 11, mode 15 and maximum 16 minutes. After the final assembly station products leave the factory and before leaving they will be carried for TRIA(2, 4, 6) minutes. Simulate this system for one replication of 24 hours per day and for 10 days. Put in PLOTS that track the length of each queues of preliminary quality control desk and final assembly station. Run the simulation model and collect these statistics: Collect statistics for queue length, queue time and utilization of the resources How many woods leave this factory? Calculate the time interval AFTER preliminary quality control desk and AFTER final assembly station. Which process or processes would you consider as bottleneck(s) of this system, why? Support your answer by using the simulation report. You are required to: i) Explain the steps you followed when you build the model (you can use screen shots). ii) Comment on each of the statistics given above. Submit your simulation report, your comments and your answers in a single document via itslearning. iii) Submit your .doe file, ,out file of your model and your report with your comments and to do so please use itslearning. If you will not submit your report, you can get maximum 50 points. Similarly, if you will not submit your arena model (.doe file) you can get maximum 50 points. Reminder: Notice that, this task requires individual work. Your work should be yours and unique. No cheating or you will get a 0 (zero). In addition, no late submission or you will get 0 (zero). Grading policy for project: Arena implementation & report: 60%, comments & inferences: 30%, document organization: 10% (clear, neat and well organized report) Hint 1: If there is a transferring time between any two modules, use "ROUTE" and "STATION" modules. Otherwise, you will NOT get points from this logic. Hint 2: Be careful about the capacities of the resources! In this project we will build a simulation model for a furniture factory. This factory works 24 hours a day and we will run our model for 10 days. Woods (raw materials) arrive to system with an exponential distribution with mean 2.1 minutes, with the first arrival at time 0. Then, all woods go to preliminary quality control desk and the parts transferring time between the entrance to this desk takes uniform between 1.2 and 2.3 minutes. There are 5 preliminary quality control worker, fed by a single FIFO queue. The processing time for the preliminary quality control desk take triangular distribution with parameters 5.5, 6.7, 8.8 minutes. Then, they are separated according to the product to be made. 30% of them will be table, 55% chair, and the remaining 15% will be closet. If a table will be made, these woods will first enter drilling machine. Transferring time between preliminary quality control desk and drilling machine is distributed uniformly between 1.2 and 2.4 minutes. The processing time for this drilling machine triangular distribution with parameters minimum 5.5, mode 8.4 and maximum 10.2 minutes. In the first 12 hours, the capacity of the drilling machine is 3, and in the second 12 hours the capacity is 2 (fed by a single FIFO queue). In detail, the capacity changes immediately after the first 12 hours left. If a chair will be made, woods will enter CNC machine. The transferring time between preliminary quality control desk and CNC machine is distributed uniformly between 2.3 and 4.5 minutes. The processing time for CNC machine is triangular distribution with parameters 6.5, 9.2, 11.1. This CNC machine can serve 3 woods at a time. If a closet will be made, woods will enter paint station. Between preliminary quality control desk and paint station there is transferring time distributed uniformly between 3.3 and 4.5 minutes. In this paint station in the first 12 hours there are 4 workers, in the second 12 hours there are 3 workers. The processing time here is triangular distribution with parameters 7.1, 8.2, 9.3 minutes. Similarly, the workers leave immediately after the first 12 hours left. After the paint station, woods will wait in a waiting station for 1 hour. There is no capacity that how many woods can wait here. Finally, all parts enter a final assembly station and each wood travel here for uniform 2.5 and 4.4 minutes. There are 7 workers fed by a single FIFO queue. Final assembly times are dependent on product type. If a table is made the processing time at final assembly station takes triangular distribution with minimum 10, mode 12 and maximum 15 minutes. If a chair is made, the processing time at final assembly station takes triangular distribution with minimum 12, mode 13 and maximum 15 minutes. If a closet is made final assembly station takes triangular distribution with minimum 11, mode 15 and maximum 16 minutes. After the final assembly station products leave the factory and before leaving they will be carried for TRIA(2, 4, 6) minutes. Simulate this system for one replication of 24 hours per day and for 10 days. Put in PLOTS that track the length of each queues of preliminary quality control desk and final assembly station. Run the simulation model and collect these statistics: Collect statistics for queue length, queue time and utilization of the resources How many woods leave this factory? Calculate the time interval AFTER preliminary quality control desk and AFTER final assembly station. Which process or processes would you consider as bottleneck(s) of this system, why? Support your answer by using the simulation report. You are required to: i) Explain the steps you followed when you build the model (you can use screen shots). ii) Comment on each of the statistics given above. Submit your simulation report, your comments and your answers in a single document via itslearning. iii) Submit your .doe file, ,out file of your model and your report with your comments and to do so please use itslearning. If you will not submit your report, you can get maximum 50 points. Similarly, if you will not submit your arena model (.doe file) you can get maximum 50 points. Reminder: Notice that, this task requires individual work. Your work should be yours and unique. No cheating or you will get a 0 (zero). In addition, no late submission or you will get 0 (zero). Grading policy for project: Arena implementation & report: 60%, comments & inferences: 30%, document organization: 10% (clear, neat and well organized report) Hint 1: If there is a transferring time between any two modules, use "ROUTE" and "STATION" modules. Otherwise, you will NOT get points from this logic. Hint 2: Be careful about the capacities of the resources!
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To simulate the furniture factory described in the question we need to follow several steps 1 Model ... View the full answer
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Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe
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