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You have been asked to analyze a manufacturing system where parts arrive with an exponential distribution with a mean of 4.8 minutes. Sixty-one percent of these parts are Type 1 and thirty-nine percent are Type 2. The parts immediately go to separate machines. (Type 1 parts go to Machine 1, Type 2 parts go to the Machine 2). Each machine has an operator. Before the parts enter the machine, they must be prepared. Preparation is done by each machine's operator and the time required has a triangular distribution for both. Machine 1 preparation has a shortest time of 1 minute, most likely of 2 minutes, and a longest time of 4 minutes. Machine 2 preparation has a shortest time of 2 minute, most likely of 4 minutes, and a longest time of 6 minutes. Processing time of Type 1 parts in Machine 1 has a lognormal distribution with a mean of 3 minutes and a standard deviation of 1.5 minute. Processing time of Type 2 parts in Machine 2 has a lognormal distribution with a mean of 7.5 minutes and a standard deviation of 1 minutes. Processing the parts in the machines requires the attention of the respective operators. After the parts depart their respective machines, they immediately depart from the system. You have been asked to model the current system and model an alternative where a third operator is introduced to perform the setup steps for both Machine 1 and Machine 2 instead of the machine operators. This setup can be done while the machine is in use on another part. That would allow the operators of the two machines to focus on the machine operations. Management is interested in increasing part output from this system. Tasks: • Build an Arena model of the current system • Build an Arena model of the proposed alternative with a third operator • Run your models for 20,000 minutes, with 100 replications 3

You have been asked to analyze a manufacturing system where parts arrive with an exponential distribution with a mean of 4.8 minutes. Sixty-one percent of these parts are Type 1 and thirty-nine percent are Type 2. The parts immediately go to separate machines. (Type 1 parts go to Machine 1, Type 2 parts go to the Machine 2). Each machine has an operator. Before the parts enter the machine, they must be prepared. Preparation is done by each machine's operator and the time required has a triangular distribution for both. Machine 1 preparation has a shortest time of 1 minute, most likely of 2 minutes, and a longest time of 4 minutes. Machine 2 preparation has a shortest time of 2 minute, most likely of 4 minutes, and a longest time of 6 minutes. Processing time of Type 1 parts in Machine 1 has a lognormal distribution with a mean of 3 minutes and a standard deviation of 1.5 minute. Processing time of Type 2 parts in Machine 2 has a lognormal distribution with a mean of 7.5 minutes and a standard deviation of 1 minutes. Processing the parts in the machines requires the attention of the respective operators. After the parts depart their respective machines, they immediately depart from the system. You have been asked to model the current system and model an alternative where a third operator is introduced to perform the setup steps for both Machine 1 and Machine 2 instead of the machine operators. This setup can be done while the machine is in use on another part. That would allow the operators of the two machines to focus on the machine operations. Management is interested in increasing part output from this system. Tasks: • Build an Arena model of the current system • Build an Arena model of the proposed alternative with a third operator • Run your models for 20,000 minutes, with 100 replications 3

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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You have been asked to analyze a manufacturing system where parts arrive with an exponential distribution with a mean of 4.8 minutes. Sixty-one percent of these parts are Type 1 and thirty-nine percent are Type 2. The parts immediately go to separate machines. (Type 1 parts go to Machine 1, Type 2 parts go to the Machine 2). Each machine has an operator. Before the parts enter the machine, they must be prepared. Preparation is done by each machine's operator and the time required has a triangular distribution for both. Machine 1 preparation has a shortest time of 1 minute, most likely of 2 minutes, and a longest time of 4 minutes. Machine 2 preparation has a shortest time of 2 minute, most likely of 4 minutes, and a longest time of 6 minutes. Processing time of Type 1 parts in Machine 1 has a lognormal distribution with a mean of 3 minutes and a standard deviation of 1.5 minute. Processing time of Type 2 parts in Machine 2 has a lognormal distribution with a mean of 7.5 minutes and a standard deviation of 1 minutes. Processing the parts in the machines requires the attention of the respective operators. After the parts depart their respective machines, they immediately depart from the system. You have been asked to model the current system and model an alternative where a third operator is introduced to perform the setup steps for both Machine 1 and Machine 2 instead of the machine operators. This setup can be done while the machine is in use on another part. That would allow the operators of the two machines to focus on the machine operations. Management is interested in increasing part output from this system. Tasks: • Build an Arena model of the current system • Build an Arena model of the proposed alternative with a third operator • Run your models for 20,000 minutes, with 100 replications 3
Transcribed Image Text:You have been asked to analyze a manufacturing system where parts arrive with an exponential distribution with a mean of 4.8 minutes. Sixty-one percent of these parts are Type 1 and thirty-nine percent are Type 2. The parts immediately go to separate machines. (Type 1 parts go to Machine 1, Type 2 parts go to the Machine 2). Each machine has an operator. Before the parts enter the machine, they must be prepared. Preparation is done by each machine's operator and the time required has a triangular distribution for both. Machine 1 preparation has a shortest time of 1 minute, most likely of 2 minutes, and a longest time of 4 minutes. Machine 2 preparation has a shortest time of 2 minute, most likely of 4 minutes, and a longest time of 6 minutes. Processing time of Type 1 parts in Machine 1 has a lognormal distribution with a mean of 3 minutes and a standard deviation of 1.5 minute. Processing time of Type 2 parts in Machine 2 has a lognormal distribution with a mean of 7.5 minutes and a standard deviation of 1 minutes. Processing the parts in the machines requires the attention of the respective operators. After the parts depart their respective machines, they immediately depart from the system. You have been asked to model the current system and model an alternative where a third operator is introduced to perform the setup steps for both Machine 1 and Machine 2 instead of the machine operators. This setup can be done while the machine is in use on another part. That would allow the operators of the two machines to focus on the machine operations. Management is interested in increasing part output from this system. Tasks: • Build an Arena model of the current system • Build an Arena model of the proposed alternative with a third operator • Run your models for 20,000 minutes, with 100 replications 3
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