GRADUATE SCHOOL
University of Pangasinan, Dagupan City
MGS 087 – Production and Operations Management (POM)
First Trimester AY 2023-2024; July 22 to August 20, 2023 8:00am-5:00pm; Google Classroom jnobibs
Module 7 – Problem Set 7b – Facilities Layout (Final Exam Part B)
GUIDE QUESTIONS / PROBLEM SET
Name:
_________________________
Family Name
__________________________ __________________________
Given Name
Middle Name
Instructions:
a. Type/write your answers on the given spaces below each number. Answers for essay questions should not be
more than the prescribed number of sentences. Your answers/solutions are personal. Do not copy nor share
them to your classmates, to avoid significant deductions.
b. Save your personal file in PDF format, as follows:
< Family Name, Given Name >_<FE B>
example: Bautista, Reynaldo_FE B
Save in only one (1) file name, regardless of the number of pages. Do not assign 1 file name each for every
page. If this happens, only the first page will be considered.
c. Send your electronic file to our google classroom on or before the set deadline, in order to avoid unnecessary but
very significant deduction in scores (please refer to our House Rules).
d. Please do not be limited by the given reference materials. Feel free and be creative to utilize other related and
relevant print and non-print reference materials that could enhance your learning in the given topic, from the
University Library, and/or the internet.
1. Use the information in the table below
Task
a
b
c
d
e
f
g
h
Immediate Predecessor
a
b
c
c
d, e
f
g
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Task Time (minutes)
0.9
0.4
0.6
0.2
0.3
0.4
0.7
1.1
∑t = 4.6
a. Construct the Precedence Diagram (10 points).
b. The productive operating time is 55 minutes per hour for an 8-hour work. Compute the cycle
time, CT, needed to obtain 50 units per hour (15 points).
OT =
D=
CT =
c. Determine the minimum number of workstation, Nmin (5 points).
Nmin. =
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d. Assign tasks to workstations using the longest task-time heuristic. Use the table format
below (10 points).
Station
Time
Remaining
Eligible
Assign (Task
Time)
Idle Time
Total Idle Time = _________
e. Compute the Percentage Idle Time (5 points).
Percentage Idle Time =
f. Compute the Efficiency of the line (5 points).
Efficiency =
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g. Draw the Balanced Line on the space below (15 points).
2. Assign the 4 departments in Table X to locations A, B, C, and D, which are separated by the
distances shown in Table y, in such a way that transportation cost is minimized. Use this heuristic:
assign departments with the greatest interdepartmental workflow first.
Table X
Distance Between Locations (Meters)
From
A
B
C
D
A
25
15
45
To: Location
B
C
25
15
20
20
30
50
Table Y
Interdepartmental Work Flow (Loads/Day)
D
45
30
50
-
From
1
2
3
4
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1
15
10
50
To: Department
2
3
45
20
35
20
60
55
4
30
40
70
-
a. Fill up the table below (20 points)
Trips
Distance (meters)
Department Pair
Departments
Locations
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Workflow
Total Workflow of
the Department Pair
b. Fill up the table below (20 points)
Departments:
1
2
3
4
Number of Loads
to:
Location
Distance to:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
Loads X Distance
x
x
x
x
x
x
x
x
x
x
x
x
=
=
=
=
=
=
=
=
=
=
=
=
Total of Loads X Distance =
c. Compute the total transportation cost if the cost to move one workload 1 meter apart is
P5.00 (10 points).
Total Transportation Cost =
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d. Illustrate the configuration of the 4 departments in each of the 4 locations. Show the
distances between departments and total interdepartmental workflows of department pairs
(25 points).
Prepared By:
Reynaldo S. Bautista, CE, MBM, DBE, DM
Professor
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