Question

I am asking how we can model that question detailly in Arena. All information is below. There is similiar question and answers in chegg, but these answers are not enough to model in Arena.

Two different part types arrive at a facility for processing. Parts of Type 1 arrive with interarrival times following a lognormal distribution with a log mean of 11.5 hours and log standard deviation of 2.0 hours (note that these values are the mean and standard deviation of this lognormal random variable itself); the first arrival is at time 0. These arriving parts wait in a queue designated for only Part Type 1’s until a (human) operator is available to process them (there is only one such human operator in the facility) and the processing times follow a triangular distribution with parameters 5, 6, and 8 hours. Parts of Type 2 arrive with interarrival times of an exponential distribution with mean of 15.1 hours; the first arrival is at time 0. These parts wait in a second queue (designated for Part Type 2’s only) until the same lonely (human) operator is available to process them; processing times follow a triangular distribution with parameters 3, 7, and 8 hours. After being processed by the human operator, all parts are sent for processing to an automatic machine not requiring a human operator, which has processing times distributed as triangular with parameters of 4, 6, and 8 hours for part type 1 and triangular with parameters of 3, 5 and 7 hours for part type 2. All parts share the same first- come, first-served queue for this automatic machine. After being processed by the automatic machine, 92% of the the parts are ready to sent to market place, and 8% of them cannot satisfy quality standards, hence they are sent to garbage. Assume that the times for all part transfers are negligible. Run simulation for 5000 hours to determine the average total time in system (sometimes called cycle time) base on part type. Determine the cycle time for items sent to garbage and market, separately. Determine the average number of items in the queues designated for the arriving part.

Answer 1

The Simulation Model of the workstation :-