Consider a system with one server. jobs arrive into the system according to a Polsson process...
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Consider a system with one server. jobs arrive into the system according to a Polsson process with rate of 1 job every 3 minutes. The server can serve jobs with a rate of 1 job every 2 minutes exponentially distributed. The server has a queue that can fit 3 jobs. jobs arriving to a full server get rejected. Use P= Pap where P, is the probability to have n jobs in the system. There are 6 Questions (Pay attention to the units. Numerical answers only Q1: Identify the queuing model; M/M//K Q2: Determine A: 20 Q3: Determine : 30 jcbs/hour jobs/hour QM: Decermine the probability that there are no jobs in the system. 0.4154 go: Determine the average number of jobs in the system: 1.0154 jobs Q6: Determine the probability that an arriving job will be rejected: 0.0021 Consider a system with one server. jobs arrive into the system according to a Polsson process with rate of 1 job every 3 minutes. The server can serve jobs with a rate of 1 job every 2 minutes exponentially distributed. The server has a queue that can fit 3 jobs. jobs arriving to a full server get rejected. Use P= Pap where P, is the probability to have n jobs in the system. There are 6 Questions (Pay attention to the units. Numerical answers only Q1: Identify the queuing model; M/M//K Q2: Determine A: 20 Q3: Determine : 30 jcbs/hour jobs/hour QM: Decermine the probability that there are no jobs in the system. 0.4154 go: Determine the average number of jobs in the system: 1.0154 jobs Q6: Determine the probability that an arriving job will be rejected: 0.0021
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Q1 The queuing model in this scenario is an MM1K queue where M represents the exponential distributi... View the full answer
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