Consider the production process where there are three processes A, B, and C. The job first arrives at process A (single machine), then moves for process B (there are two machines) and then finally it reaches process C. The arrival rate is 10 jobs/hr. The service rate at process A is 12 jobs/hr, process B is 13jobs/hr and process C is 15 jobs/hr. The arrival is assumed to be poisson distributed while the processing times are exponentially distributed. Out of the arriving jobs for process B, 20% is rejected and sent back to process A for reprocessing and similarly, out of the arriving jobs at process C 10% are rejected and sent back to process B for reprocessing.a) Find the effective arrival rate at each of the processes.b) Find average time a job spends in queue in the syste
Consider the production process where there are three processes A, B, and C. The job first arrives at process A (single machine), then moves for process B (there are two machines) and then finally it reaches process C. The arrival rate is 10 jobs/hr. The service rate at process A is 12 jobs/hr, process B is 13jobs/hr and process C is 15 jobs/hr. The arrival is assumed to be poisson distributed while the processing times are exponentially distributed. Out of the arriving jobs for process B, 20% is rejected and sent back to process A for reprocessing and similarly, out of the arriving jobs at process C 10% are rejected and sent back to process B for reprocessing.a) Find the effective arrival rate at each of the processes.b) Find average time a job spends in queue in the syste
Practical Management Science
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Consider the production process where there are three processes A, B, and C. The job first arrives at process A (single machine), then moves for process B (there are two machines) and then finally it reaches process C. The arrival rate is 10 jobs/hr. The service rate at process A is 12 jobs/hr, process B is 13jobs/hr and process C is 15 jobs/hr. The arrival is assumed to be poisson distributed while the processing times are exponentially distributed. Out of the arriving jobs for process B, 20% is rejected and sent back to process A for reprocessing and similarly, out of the arriving jobs at process C 10% are rejected and sent back to process B for reprocessing.
a) Find the effective arrival rate at each of the processes.
b) Find average time a job spends in queue in the system.
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