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1. Parts come to a production systems from three diffrent sources. Parts interarrival time distribution that come from source 1 is Normal distribution which has

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1. Parts come to a production systems from three diffrent sources. Parts interarrival time distribution that come from source 1 is Normal distribution which has mean 10 minutes and standart deviation 4 minutes. The parts interarrival time distribution that come from sources 2 and 3 is gamma (0.25,16). (Unit is minute). Process I has one server and service time distribution is Ex with mean 1.5 minutes. After the process I, % 40 of the parts go to the process II and % 60 of parts go to the process III. Process II and process III have one server and service time distribution is exponential with 2 minutes mean. 1 11 %40 - N %60 a. What is the expected wait time in the system for a part that pass Process I and II. Calculate theorically. b. Develop an ARENA model to compare your theoric results with simulation result 1. Parts come to a production systems from three diffrent sources. Parts interarrival time distribution that come from source 1 is Normal distribution which has mean 10 minutes and standart deviation 4 minutes. The parts interarrival time distribution that come from sources 2 and 3 is gamma (0.25,16). (Unit is minute). Process I has one server and service time distribution is Ex with mean 1.5 minutes. After the process I, % 40 of the parts go to the process II and % 60 of parts go to the process III. Process II and process III have one server and service time distribution is exponential with 2 minutes mean. 1 11 %40 - N %60 a. What is the expected wait time in the system for a part that pass Process I and II. Calculate theorically. b. Develop an ARENA model to compare your theoric results with simulation result

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