Planning and Decision Making in Construction Assignment
Problem 1 - Precast concrete piles are taken from the end of a production line into a storage area, from which they are collected by a transporter (having a maximum capacity of 18 piles). The transporter(s) call after a day's production has finished.
The daily production figures were collected, over a period of 100 days, and are given in Figure 9.6 below.
|
No. of piles produced
|
9
|
10
|
11
|
12
|
13
|
14
|
|
No. of days at this production rate
|
10
|
18
|
29
|
21
|
12
|
10
|
Table 9.6 Production his ory in the past 100 days
The number of days elapsed, between successive transporter arrivals, is given in Figure 9.7 below.
|
Days before next transporter arrival
|
0
|
1
|
2
|
3
|
4
|
|
Frequency of occurrence
|
32
|
22
|
10
|
20
|
26
|
Table 9.7 Interval (days) of transporter arrival
In the above data, days before next transporter arrival = 0 means that two transporters call on the same day.
The storage area can only hold 20 piles. Extra piles have to be stored at a specially arranged place at a cost of $50 for each beam per day (only charged for when used). Alternatively a new storage space (capacity 20 piles also) can be rented for $300 per day. Assume that the storage area is initially empty and that the transporter called on the first day; simulate this system over a period of 10 days: Should the firm rent the new space by using the simulation result?
The following random numbers were generated in sequence for the simulation:
|
For number of piles produced
|
12
|
57
|
85
|
78
|
36
|
9
|
60
|
73
|
57
|
86
|
|
For days lapsed
|
29
|
73
|
45
|
'58
|
95
|
|
|
|
|
|
PS: Please use the random numbers shown in the Table above for your simulation. Ignore the typo "Figure 9.6 and 9.7" in the text. It should be "Table 9.6 and 9.7".
Problem 2 - During the past 10 years there have been extensive flood damages in New Orleans. It is important that one has some means to access flood damage to the city. The following table lists a 10-year record of flood damage.
|
Year
|
Discharge, Q (m3/sec)
|
Damage, D (in Millions $)
|
|
1993
|
6.5
|
2.0
|
|
1994
|
9.6
|
3.4
|
|
1995
|
12.5
|
5.0
|
|
1996
|
3.7
|
0.8
|
|
1997
|
5.7
|
1.5
|
|
1998
|
17
|
6.0
|
|
1999
|
4.8
|
1.5
|
|
2000
|
9.9
|
2.8
|
|
2001
|
12.1
|
5.5
|
|
2002
|
8.5
|
3.0
|
Assume that the following relationship applies:
D = K.Q
Where D = Flood damage in $Million
Q = Discharge rate in m3/sec
K = multiplication factor, the value of which depends on the time of the flood, Concentration and distribution of residential and industrial areas, etc.
Simulate a 25 year period and compute the total flood damage for the next 25 years.
Assignment Files - https://www.dropbox.com/s/6z9vhonc2j6biqr/Assignment%20Files.rar?dl=0