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Question 5 28 points) Monlab produces and sells computer monitors. Even though MonLab's monitors are quite rellable, some units fail soon after they are sold, in which case customers retom them to retailers Retailers send these monitors to MonLab's factory, where they are refurbished repaired. Refurbished monitors are then sold at a lower price Rabih is currently the only engineer at MonLabs factory responsible for repairing returned monitors. His job is quite simple. Returned monitors are delivered without any delay to his workstation. He takes one monitor at a time in the order in which monitors arrive to his workstation), repairs k, and immedately send it to the retailer. Having worked in electronics for over 20 years, Rabih can repair every monitor he receives. The repair time is on average half an hour and is exponentially seributes. The lectory receives on average 12 returned monitors per day and their arrival is a Poisson process. Assume that the above problem can be modeled by an MMS type-model Write all necessary calculations. (1 day = Shows) 1. (points) What is the arrival rate of broken monitors and what is Rabin's service (repairing) rate? Express both rates as the number of monitors per hour. What is the utilization of the lab? 2. (* points) The manager of Rabih shows up unexpectedly in the middle of the shit. How many monitors he should expect to see waiting for regale? How many monitors on average Rabih is working on? 3. (3 points) What is the rate per hour at which repaired monitors leave Rabiah's workstation? + (4 points) If a second engineer was hired to repair monitors, how would the following parameters change? At X in the appropriate box Would increase would not change Parameter Would decrease Average number of monitors waiting for repair Average time each monitor waits for repair Utilization of each engineer Average time an engineer takes to repair bne monitor 5 points) a second engineer, Nadim, was hired to repair monitors. Ino scenarios are considered. In the first scenario Rabih will receive on everage half of the monitors and Nadin the other halt. Each of them were some one or monitors In the second scenario al monitors arrive to one queue and each engineer work on whichever motor is not in tine What is the ullization in each scenario? What is the average time a monitor nats for repair in each scenarios per a better witam nating the pole ? Explain carefully your calculations. Compare both scenarios. Conclude points Suppose that the number of returned monitors increased time to do montos per day Howanymi Question 5 28 points) Monlab produces and sells computer monitors. Even though MonLab's monitors are quite rellable, some units fail soon after they are sold, in which case customers retom them to retailers Retailers send these monitors to MonLab's factory, where they are refurbished repaired. Refurbished monitors are then sold at a lower price Rabih is currently the only engineer at MonLabs factory responsible for repairing returned monitors. His job is quite simple. Returned monitors are delivered without any delay to his workstation. He takes one monitor at a time in the order in which monitors arrive to his workstation), repairs k, and immedately send it to the retailer. Having worked in electronics for over 20 years, Rabih can repair every monitor he receives. The repair time is on average half an hour and is exponentially seributes. The lectory receives on average 12 returned monitors per day and their arrival is a Poisson process. Assume that the above problem can be modeled by an MMS type-model Write all necessary calculations. (1 day = Shows) 1. (points) What is the arrival rate of broken monitors and what is Rabin's service (repairing) rate? Express both rates as the number of monitors per hour. What is the utilization of the lab? 2. (* points) The manager of Rabih shows up unexpectedly in the middle of the shit. How many monitors he should expect to see waiting for regale? How many monitors on average Rabih is working on? 3. (3 points) What is the rate per hour at which repaired monitors leave Rabiah's workstation? + (4 points) If a second engineer was hired to repair monitors, how would the following parameters change? At X in the appropriate box Would increase would not change Parameter Would decrease Average number of monitors waiting for repair Average time each monitor waits for repair Utilization of each engineer Average time an engineer takes to repair bne monitor 5 points) a second engineer, Nadim, was hired to repair monitors. Ino scenarios are considered. In the first scenario Rabih will receive on everage half of the monitors and Nadin the other halt. Each of them were some one or monitors In the second scenario al monitors arrive to one queue and each engineer work on whichever motor is not in tine What is the ullization in each scenario? What is the average time a monitor nats for repair in each scenarios per a better witam nating the pole ? Explain carefully your calculations. Compare both scenarios. Conclude points Suppose that the number of returned monitors increased time to do montos per day Howanymi