Chapter 5. Transportation, Assignment; and Network Models
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Chapter 5Transportation, Assignment; and Network Models
The Southern Rail Company ships coal by rail from three coal mines to meet the demand requirementsof four coal depots. The following table shows the distances from the mines to the various depots and the availabilities and requirements for coal. Determine the best shipment of coal cars to minimize the total miles traveled by the cars. = 3100 miles
To
From
Columbia
Albany
Springfield
Pleasantburg
Supply of cars
Paris
50
30
60
70
35
Butler
20
80
10
90
60
Century
100
40
80
30
25
Demand for cars
30
45
25
20
Chapter 6. Integer Programming
A hospital is
planning an $8 million addition to its existing facility. The architect has
been asked toconsider the following design parameters: (1) There
should be at least 10 and no more than 20 intensive care unit (ICU) rooms; (2)
there should be at least 10 and no more than 20 cardiac care unit (CCU)rooms; (3) there should be no more than 50
double rooms; (4) there should be at least 35 single rooms; and (5) all patient rooms should fit inside the
allotted 40,000-square-foot space (not including hallways). The
following table summarizes the relevant room data
SINGLE
DOUBLE
ICU
CCU
Cost per room to build and furnish
($thousands)
$45
$54
$110
$104
Minimum square feet required
300
360
320
340
Profit per room per month
($thousands)
$21
$28
$48
$41
How many room of each type
should the architect include in the new hospital design?
Chapter 7. Project
Management
A plant
engineering group needs to set up an assembly line to produce a new product.
The table included describes the relationships between the activities that need
to be completed for this product to be manufactured.
(a)
Develop a project network for this problem.
(b)
Determine the expected duration and variance for each
activity.
(c)
Determine the EST, EFT, LST, LFT,and
slack for each activity. Also determine the total project completiontime and the critical
path(s).
(d)
Determine the probability that the project will be completed
in less than 34 days.
(e)
Determine the probability that the project will take more
than 29 days.
Chapter
- Transportation, Assignment; and Network ModelsThe
Southern Rail Company ships coal by rail from three coal mines to meet the
demand requirementsof four
coal depots. The following table shows the distances from the mines to the
various depots and the availabilities and requirements for coal. Determine the
best shipment of coal cars to minimize the total miles traveled by the cars. = 3100 milesToFromColumbiaAlbanySpringfieldPleasantburgSupply of carsParis5030607035Butler2080109060Century10040803025Demand for cars30452520Chapter 6. Integer ProgrammingA hospital is
planning an $8 million addition to its existing facility. The architect has
been asked toconsider the following design parameters: (1) There
should be at least 10 and no more than 20 intensive care unit (ICU) rooms; (2)
there should be at least 10 and no more than 20 cardiac care unit (CCU)rooms; (3) there should be no more than 50
double rooms; (4) there should be at least 35 single rooms; and (5) all patient rooms should fit inside the
allotted 40,000-square-foot space (not including hallways). The
following table summarizes the relevant room dataSINGLEDOUBLEICUCCUCost per room to build and furnish
($thousands)$45$54$110$104Minimum square feet required300360320340Profit per room per month
($thousands)$21$28$48$41How many room of each type
should the architect include in the new hospital design?Chapter 7. Project
ManagementA plant
engineering group needs to set up an assembly line to produce a new product.
The table included describes the relationships between the activities that need
to be completed for this product to be manufactured.(a)
Develop a project network for this problem.(b)
Determine the expected duration and variance for each
activity.(c)
Determine the EST, EFT, LST, LFT,and
slack for each activity. Also determine the total project completiontime and the critical
path(s).(d)
Determine the probability that the project will be completed
in less than 34 days.(e)
Determine the probability that the project will take more
than 29 days.
