Business Case The production process of a furn iture manufacturer consists of fo
ID: 2890419 • Letter: B
Question
Business Case
The production process of a furn
iture manufacturer consists of
four major operations: milling,
planning, sanding and inspection. A
ssume there are three or fo
ur mills, two planners, three
sanders, and one automated inspect
ion machine. The data for arr
ivals and process is as follows:
1.
Cherry job arrives every 4 minutes.
2.
Oak job arrives every 5 minutes
3.
There is one operator works at the milling station, the setup t
ime is 1.5 minute. One
operator works at planning sta
tion, the setup time is 2 minutes
. One operator works at
sanding station with setup time
1.5 minutes. After the machine/
part set up, the machine
will start process (and the opera
tor will be free for the next
job)
4.
Process time at the mill operation takes 8 minutes.
5.
Process time at the planning operation takes 8 minutes.
6.
Process time at the sanding operation is 5 minutes.
7.
Inspection time is a constant of 2 minutes.
10.
Cherry jobs are served at m
illing, move to sanding, and finally
to inspection. Oak jobs are
served at planning, then sandi
ng, and finally inspection.
12.
There are finite buffer in fr
ont of each operation. The buffer
sizes are 8 in front of the
mill, 4 in front of the planers
, 6 in front of the sanders and
3 in front of inspection. When
jobs cannot join a queue because it is full. They are rejected
from the system.
14.
Each track can carry 20 cherr
y products or 25 oak products (ass
ume each truck only ship
one type of product)
1.
How many cherry jobs are completed?
2.
How many oak jobs are completed?
3.
What is the average time in the system for a cherry job?
4.
What is the average time in the system for an oak job?
5.
What is the utilization of mills, planners, sanders and the ins
pection machine?
6.
What is the utilization of mill operator?
7.
What is the utilizati
on of planner operator?
8.
What is the utilizati
on of sander operator?
9.
How many jobs are rejected from
the mill because of the queues
is full?
10.
How many jobs are rejected from
the sander because of the queue
s is full?
11.
How many jobs are rejected from th
e planner because of the queu
es is full?
12.
How many jobs are rejected from the inspection because of the q
ueues is full?
13.
How many trucks of cherr
y products are shipped?
14.
How many trucks of oak products are shipped?
Explanation / Answer
(1) Cherry job arrives every 4 minutes. So the number of jobs that can be completed are given by the reciprocal 1/4=0.25
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.