Two-piece suits are processed by a dry cleaner as follows. Suits arrive with exponential interarrival times...
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Two-piece suits are processed by a dry cleaner as follows. Suits arrive with exponential interarrival times having mean 10 minutes, and are initially served by server 1, perhaps after a wait in a FIFO queue (see figure). Upon completion of service at server 1, one piece of the suit (the jacket) goes to server 2, and the other piece (the pants) goes to server 3. During service at server 2, a jacket has probability of 0.05 of being damaged, and while at server 3 a pair of pants has a probability of 0.10 of being damaged. Upon leaving server 2, the jackets go into a queue for server 4; upon leaving server 3, the pants go into server 4. Server 4 matches and re-assembles suit parts. If both parts of the suit are undamaged, the suit is returned to the customer. If either (or both) of the parts is (are) damaged, the suit goes to customer relations (server 5). Assume that all service times are exponential, with the following means (in minutes) and use the indicated stream assignments: Server 1 2 3 4 4 5 Mean service time (min) 6 4 5 5 (undamaged) 8 (damaged) 12 Jackets 00-00 module.) Undamaged -000 OE 04 1,00 0 0 Pants Damaged 00 0- The system is initially empty and idle, and runs for exactly 12 hours. Observe the average and maximum time in system for each type of outcome (damaged or not), the average and maximum length of each queue, and the utilization of each server. Simulate the system for one day and make 10 replications. Case 2: What would happen if the arrival rate were to double (expo(5) min)? In this case, if you could place another person anywhere in the system to help out with one of the 5 tasks, where should it be? (Hint: • Explore Batch, Separate, Clone, Match modules. Use what you need. .Entity.SerialNumber is a defined attribute in Arena. Batching by attribute can be used in batch Two-piece suits are processed by a dry cleaner as follows. Suits arrive with exponential interarrival times having mean 10 minutes, and are initially served by server 1, perhaps after a wait in a FIFO queue (see figure). Upon completion of service at server 1, one piece of the suit (the jacket) goes to server 2, and the other piece (the pants) goes to server 3. During service at server 2, a jacket has probability of 0.05 of being damaged, and while at server 3 a pair of pants has a probability of 0.10 of being damaged. Upon leaving server 2, the jackets go into a queue for server 4; upon leaving server 3, the pants go into server 4. Server 4 matches and re-assembles suit parts. If both parts of the suit are undamaged, the suit is returned to the customer. If either (or both) of the parts is (are) damaged, the suit goes to customer relations (server 5). Assume that all service times are exponential, with the following means (in minutes) and use the indicated stream assignments: Server 1 2 3 4 4 5 Mean service time (min) 6 4 5 5 (undamaged) 8 (damaged) 12 Jackets 00-00 module.) Undamaged -000 OE 04 1,00 0 0 Pants Damaged 00 0- The system is initially empty and idle, and runs for exactly 12 hours. Observe the average and maximum time in system for each type of outcome (damaged or not), the average and maximum length of each queue, and the utilization of each server. Simulate the system for one day and make 10 replications. Case 2: What would happen if the arrival rate were to double (expo(5) min)? In this case, if you could place another person anywhere in the system to help out with one of the 5 tasks, where should it be? (Hint: • Explore Batch, Separate, Clone, Match modules. Use what you need. .Entity.SerialNumber is a defined attribute in Arena. Batching by attribute can be used in batch
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Introduction to Management Science A Modeling and Cases Studies Approach with Spreadsheets
ISBN: 978-0078024061
5th edition
Authors: Frederick S. Hillier, Mark S. Hillier
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