In an M/M/1 system, workers arrive at a tool crib at a rate of 20 per...
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In an M/M/1 system, workers arrive at a tool crib at a rate of 20 per hour. The total time that workers spend when picking up the required tool is considered wasted. Workers are paid $6 per hour. The clerk at the tool crib can serve up to seven workers per hour and is paid $10 per hour. (a) What is the cost-minimal number of clerks? Show all work. (b) What is the expected time a worker will have to wait for the tool in any of the scenarios you have considered under (a)? (c) What would you expect to happen if the hourly wage of a clerk increases to $13 per hour? Explain in one sentence. Calculations are not required. In an M/M/1 system, workers arrive at a tool crib at a rate of 20 per hour. The total time that workers spend when picking up the required tool is considered wasted. Workers are paid $6 per hour. The clerk at the tool crib can serve up to seven workers per hour and is paid $10 per hour. (a) What is the cost-minimal number of clerks? Show all work. (b) What is the expected time a worker will have to wait for the tool in any of the scenarios you have considered under (a)? (c) What would you expect to happen if the hourly wage of a clerk increases to $13 per hour? Explain in one sentence. Calculations are not required.
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a To determine the costminimal number of clerks we need to consider the tradeoff between the cost of ... View the full answer
Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
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