Question: A small manufacturing department contains three serial workstations each with a special machine to process the parts. Parts arrive according to an exponential interarrival-time distribution

A small manufacturing department contains three serial workstations each with a special

machine to process the parts. Parts arrive according to an exponential interarrival-time

distribution with a mean of 8 (all times are given in minutes), with the first parts arriving at

time 0. Before a new part can start processing, it must be mounted on fixtures, and this

mounting operation takes 2 minutes). The part remains on the fixture until it completes

processing on all the workstations, at which time it is removed from the fixture (this

removal operation takes 1 minute), after which the fixture becomes available for another

part that might be waiting for it. Processing times at the first workstation have a high

frequency of 7 and can be as low as 4 but do not exceed 9. Processing times at the second

workstation have a lower and upper bound of 5 and 10 respectively. Processing times at the

third workstation do not exceed 9 but with a minimum of 5, and usually 6.5. Run your

simulation for a single replication of length 48 hours. This is scenario one (1).

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Determine the time-average and maximum work-in-process (WIP) in the whole system. At

each workstation separately, Determine the average time spent in the queue and maximum

queue length. (All results must be reported in minutes). What key assumptions are

required to model the workstations, the Mounting station and the offloading station.

If it costs R3000 to keep a part in the right condition before being processed at a

workstation, how much should the company budget to ensure parts are in the right

condition?

SCENARIO TWO (2)

Due to some raw materials defects identified in the parts, it is decided that 70% of the parts

out of the first workstation will need to go through some reworking. This will be conducted

by a robot working with a Log standard deviation of 6 and Log Mean of 20. After this, the

parts are sent back to workstation two to continue the process. Run this for a 48-hour run

period and assume a single replication. Report on the total number of parts produced and

the time-average in the system of parts. What is the impact of the raw material defects on

the total number of parts produced?

SCENARIO THREE (3)

After reworking the parts in scenario two (2) the robot has identified 10% of the parts are

unfit to continue into the process. Report on the total number of parts produced and the

time-average in the system of parts. What is the impact of the raw material defects on the

total number of parts produced?

using arena i would like to know how will scenario 2 and 3 flowchart look like ?

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