HW-3_ProcessMetrics_OM235_Fa23_2023-07-20a
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School
University of Texas *
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Course
235
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
Pages
4
Uploaded by GeneralQuailPerson1021
1
OM 235
Homework-3
Fall 2023
Please place each of your answers inside the rectangular box that is next to each question. Each question is worth one
point unless otherwise indicated. There is a total of 29 potential points. (Revised: July 20, 2023.)
Name:
Question 1.
A diagram of a service process is given below.
The process runs on the JIT principle (in other words customers
cannot leave the waiting room and start through the process at Operation 1 more often than the process can finish them
.
Customers arrive every 6 minutes. Note that the abbreviation “custs” stands for customers. The capacities are shown for each
Note: Feel free to handwrite answers to this and other homework sets so long as they are legible.
a.
Identify the bottleneck
b.
What is the process capacity in customers per hour?
c.
What is the throughput (flow rate) of the process?
d.
What is the percentage utilization of Clerk D assuming that customers arrive every
6 minutes?
e.
What is the average overall percent labor utilization for the 4 clerks assuming that
customers arrive every 6 minutes?
OP
1
OP
2
OP
3
OP
4
Waitin
g
Room
WIP
1
WIP
2
WIP
3
20
custs/hour
15
custs/hour
12
custs/hour
30
custs/hour
Clerk
A
Clerk
B
Clerk
C
Clerk
D
2
f.
To increase the capacity of the process, to which operation would you add an
additional clerk?
g.
If a clerk is added to increase the capacity of the process (you can assume the new clerk
is as efficient as the old clerks at any of the 4 operations), what is the new process
capacity in customers per hour?
Question 2.
Consider the process for a store below.
a.
What is the bottleneck?
3
b.
What is the process capacity in customers per hour?
c.
If the process is operating at capacity, how often (in minutes) can customers complete the process and
leave the store?
For the remaining problems, assume customers arrive every 5 minutes.
d.
What is the percent utilization of the clerks performing Operation A? (Hint: the utilization of the
two clerks will be the same because they are in parallel.)
e.
What is the percent utilization of Charlie?
f.
What is the percent utilization of Dave?
g.
What is the rush order flowtime in minutes?
h.
If Erin leaves for the day and Bob covers for her, what is the new process capacity in custs/hr?
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4
Question 3.
Are the statements below regarding Just-in-Time (JIT) processes true or false? Note: answering “True” indicates
that the statements are always true.
a.
Utilization of non-bottleneck resources can reach 100%
b.
Average WIP cannot keep growing indefinitely.
c.
Jobs start in the process at the same rate as they leave it.
d.
In real life JIT practice, there is never any WIP inventory.
Question 4.
Are the statements below regarding starved processes true or false? Note: answering “True” indicates that the
statements are always true.
a.
Jobs start in the process at the same rate as they leave it.
b.
There is never any WIP inventory
c.
The bottleneck resource has less than a 100% utilization.
d.
The bottleneck resource always has the highest utilization.
e.
The flow time of any job is always the rush order flowtime.
Question 5.
Which of the below is associated with increasing WIP and RMI inventories? Please indicate True or False.
a.
Defects generally decrease
b.
There is less free cash available to the firm.
c.
Flow time increases
d.
Process visibility increases.
e.
Warehousing costs increase.