Lab08Assignment

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Texas A&M University *

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625

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Industrial Engineering

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Feb 20, 2024

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docx

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Name: __________________ UIN: ______________ Lab 08 Topics: Introduction to the use of Sequences, Work Schedules, Basic Nodes, and Transporters A small manufacturing cell consists of three workstations through which four part types are processed. The workstations, A, B, and C, are arranged such that the parts must follow the one-way circular pattern as shown in the schematic below. For instance, if a part is finished at Station C, it would have to travel the distance to Station A, then the distance to Station B before it would travel to where it exits the system. The system is to be simulated for a five day week with eight hours of operation a day for a total of 40 hours. All parts arrive at the “Parts Arrive” location and leave at the “Parts Leave” location shown in the schematic. Travel between workstations is a constant two miles per hour. The distances between workstations are shown in the schematic and also in the table 1 below. Table 1. Distance between Workstations Workstation Path Distances (in yards) Parts Arrive to Station A 25 Station A to Station B 35 Station B to Parts Leave 20 Parts Leave to Station C 30 Station C to Parts Arrive 40 There are four different part types that are processed in this system. Their arrival patterns are as follows: Part Type 1 arrives randomly with an average of 15 minutes between arrivals. Part Type 2 has an inter-arrival time that averages 17 minutes with a standard deviation of 3 minutes. Part Type 3 can arrive with an inter-arrival time of anywhere from14 to 18 minutes apart. Part Type 4 arrives in batches of 5 almost exactly 1 hour and 10 minutes apart.
Name: __________________ UIN: ______________ Question 1 : What is your choice of distribution and parameter(s) to model these arrivals? [ Note : As a simulation modeler and analyst, you will have to make such decisions.] Part Type 1: ________________________________ Part Type 2: ________________________________ Part Type 3: ________________________________ Part Type 4: ________________________________ Each part type is sequenced (or routed) across the stations differently. In fact, not all part types are routed through all machines, as seen in the sequence order given in table 2 below. Table 2. Part Sequences Step 1 2 3 Part Type 1 Station A Station C Part Type 2 Station A Station B Station C Part Type 3 Station A Station B Part Type 4 Station B Station C The stations have the following properties: Station A has one machine with a processing time ranging from two to eight minutes and a likely (modal) time of five minutes. Station B has two machines, each with a processing time ranging between five and eleven minutes and a likely time of nine minutes. Station C has two machines that operate during the first four hours of each day and one machine operating during the last four hours of the day. Each has a processing time ranging between two and eleven minutes and a mode of six minutes. Question 2 : What is your choice of distribution and parameter(s) to model the processing times? Station A: ______________________ Station B: ____________________ Station C: ________________ Question 3 : Report the following statistics based on a single replication of 40 hours. Average utilization level of Station A: ________; Station B: _________; Station C: ________ Average time spent in system by the parts (independent of part type): __________ minutes
Name: __________________ UIN: ______________ Part B : Instead of leaving the system at the end of the processing sequence, parts are loaded on a cart and wheeled to a warehouse building 300 yards away. The transfer node is 10 yards from the Basic Node. This is illustrated in the schematic below. The cart can carry a maximum of three parts and travels at 4 feet per second. After the cart has finished dropping off parts, it will return to the pickup station for the next set of parts or wait there until a part is ready to be taken. The cart does not have to be filled for it to be taken to the warehouse (i.e. the cart will carry one part if it is available). Question 4 : Report the following statistics based on a single replication of 40 hours: Average time spent in system by the parts (independent of part type): __________ minutes Average utilization of the cart: _________ What is the average number of parts waiting to ride on the cart? ___________
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