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?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...

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