Two different part types arrive at a facility for processing.Parts of Type 1 arrive with interarrival times following alognormal distribution with a log mean of 11.5 hours and logstandard deviation of 2.0 hours (note that these values are themean and standard deviation of this lognormal random variableitself); the first arrival is at time 0. These arriving parts waitin a queue designated for only Part Type 1’s until a (human)operator is available to process them (there is only one such humanoperator in the facility) and the processing times follow atriangular distribution with parameters 5, 6, and 8 hours. Parts ofType 2 arrive with interarrival times of an exponentialdistribution with mean of 15.1 hours; the first arrival is at time0. These parts wait in a second queue (designated for Part Type 2’sonly) until the same lonely (human) operator is available toprocess them; processing times follow a triangular distributionwith parameters 3, 7, and 8 hours. After being processed by thehuman operator, all parts are sent for processing to an automaticmachine not requiring a human operator, which has processing timesdistributed as triangular with parameters of 4, 6, and 8 hours forpart type 1 and triangular with parameters of 3, 5 and 7 hours forpart type 2. All parts share the same first- come, first-servedqueue for this automatic machine. After being processed by theautomatic machine, 92% of the the parts are ready to sent to marketplace, and 8% of them cannot satisfy quality standards, hence theyare sent to garbage. Assume that the times for all part transfersare negligible. Run simulation for 5000 hours to determine theaverage total time in system (sometimes called cycle time) base onpart type. Determine the cycle time for items sent to garbage andmarket, separately. Determine the average number of items in thequeues designated for the arriving part

## Expert Answer

Answer to Two different part types arrive at a facility for processing. Parts of Type 1 arrive with interarrival times following a…