An average of 10 jobs per hour arrives at a job shop. Interarrival times of jobs are exponentially distributed. It takes an average of 10/3 minutes to complete a job. Unfortunately, 1/3 of all completed jobs need to be reworked. Thus, with probability 1/3, a completed job must wait in line to be reworked. In steady state, how many jobs would one expect to find in the shop? What would the answer be if it took an average of 5 minutes to finish a job?

An average of 10 jobs per hour arrives at a job shop. Interarrival times of jobs are exponentially distributed. It takes an average of 10/3 minutes to complete a job. Unfortunately, 1/3 of all completed jobs need to be reworked. Thus, with probability 1/3, a completed job must wait in line to be reworked. In steady state, how many jobs would one expect to find in the shop? What would the answer be if it took an average of 5 minutes to finish a job?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 35EQ

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