Title: SCHEDULINGPERT NETWORKING AND LINEAR OPERATIONS
1SCHEDULING-PERT NETWORKING AND LINEAR OPERATIONS
CHAPTER - 8
VRML Model of NIST Research Facility Emission
Control System
VRML Excavator, Tower Crane and Dump Truck
2THE NEED
- Traditionally construction process information is
communicated with paper documents and 2D CAD
drawings - Recently, the industry has embraced web-based
technologies, but construction still uses
document-based models. - It is believed that transition model-based
information can be done through web-based 3D
models. - Moreover, there is a need to easily model
structures to be used in a web-based user
interface.
3THE TECHNOLOGY
- The applicability of the VRML is being
investigated for visualizing construction
activities at a site and creating an advanced
web-based 3D user to construction process
information. - The Computer-Integrated Construction Group at the
NIST Gaithersburg, MD is developing this concept. - These interfaces are based on web-based 3D
visualizations of a model.
4INTRODUCTION
- Acquisition of Bar Charts and CPM
- PERT addresses variability of project duration
- Variability is defined in terms of three
estimates - Calculation of the expected duration time (te)
- Definition of normal distribution
- Standard deviation and variance
- Calculation of longest path and project duration
using te - Probability distribution longest path of te
values as a mean of normal distribution
5Figure 8.1 Selected Areas under the Normal
Distributed Curve
6AN EXAMPLE OF PERT NETWORK
- Fig. 8.2 and table 8.1
- Calculation of expected duration, variance for
each activity, the standard deviation - What is the probability that the project can be
completed in N days? - What is the probability that the project can be
completed in 19 days? (see fig. 8.3, and example
ta4tmtb
For instance for Activity 7
42813
45
7.5
te
6
6
6
2
9
2
(tb-ta)
(13-4)
a2
2.25
6
6
6
7Table 8.1 Three Estimate Values and Calculated
Values for Each Activity
8Figure 8.2 Small PERT Network
Figure 8.3 Normal Distribution of Total Project
Durations for Small PERT Network
9PERT SHORTCOMINGS
- PERT results are too optimistic
- Assumption that duration is most probable value
is not accurate - PERT underestimates the duration, the cause is
called Merge Event Bias - One solution to the Difficulties is to use Monte
Carlo Simulation
Figure 8.4 Merge Event Bias
10LINEAR CONSTRUCTION OPERATIONS
- Often construction sites have linear properties
that influence the production sequence. (example
road construction) - The required sequentiality leads to the Train
effect. - That is, a section must be complete 5-in concrete
before preceding to 9-in concrete. Therefore,
the section can be thought of as a train or
parade of work that must pass each station
represented by the six construction process. - Many types of project exhibit this kind of rigid
work sequence. - Examples
- A high-rise building, each floor to pass though a
set of operations - Tunnels are worked in sections
- Pipeline work
11Figure 8.5 Road Project Divided Into 14 Sections
12PRODUCTION CURVES
- Bar charts and network schedules provide only
limited information when modeling linear
operations and projects. - They do not reflect production rate or speed with
which section are processed. - First unit delay occurs due to mobilization.
- Near completion, production rate declines due to
demobilization. - Max production is during mid periods of the
process duration - This leads to a production curve with the shape
of a lazy S. (Fig. 8.6) - The slope is flat at the beginning and the end,
but steep in the middle. - The slope of the curve is the production rate.
- These curves are called as time-distance,
time-quality or velocity diagrams. (Fig. 8.7) - The slope represents the number of unit produced
over a given time increment. - The slope of the curve, therefore represents the
number of units produces over a given increment.
This is the rate of production. - Unbalanced production roles. (Fig. 8.9)
- Prevent work stoppage (Continuity of work)
- One way to avoid this is to control production in
each process so that sloped of the curves are
parallel.
13Figure 8.6 Production Curve
Figure 8.7 Velocity Diagrams for a Road
Construction Project
14Figure 8.8 Planned Status Construction at Week 12
Figure 8.9 Unbalanced Process Production Rated
15LINE-OF-BALANCED CONCEPTS
- LOB is a graphical method for production control
integrating barcharting and production curve
concepts - LOC serves two fundamental purposes
- To control Production
- To act as a Project Management Aid
- Each objective is interrelated through 4 LOB
elements - The objective chart
- The program chart
- The progress chart
- The comparison
16Figure 8.10 Objective Chart
Figure 8.11 Program Chart with Lead Time in Work
Days
17Figure 8.12 Progress Chart
Figure 8.13 Progress Chart with Line of Balance
18Figure 8.15 Program Chart and Objective Chart
Figure 8.14 Schematic of Floor Cycle Work Tasks
19Figure 8.16 Enlarges Projection of Program Chart
onto Objective Chart
Figure 8.17 Line of Balance for Week 5
208.7 LOB APPLIED TO CONSTRUCTION
- To illustrate the use of LOB in a construction
context, consider a high-rise building in which
repetitive activity sequences are a part of the
floor-to-floor operation. - Each floor consists of four sections (A, B, C,
and D) - Each floor section must be processes through the
following work activities (1) erect forms, (2)
Placing reinforcement, (3) Place concrete, (4)
Dismantle forms, (5) Place curtain wall (exterior
façade), (6) Place window. - Figure 8-14 shows a schematic of the status of
activities at a given point in time. - The diagram in figure 8-15 shows the LOB
objective chart for a 10-story building. The
program chart for a typical section is shown
above the objective chart. - A diagram of Projection is shown in Figure 8.16
- The LOB values can be calculated by determining
the slop relating horizontal distance (Lead time
to vertical distance (required sections)).