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Project Schedule
Contractual network diagram of planned activities: their sequence, durations, and completion conditions
Job Logic
The logical production sequence in which activities must be performed
CPM Advantages
Instant monitoring, higher productivity, and a court-admissible delay-claim document
Project Conception
Pre-production planning, production planning & scheduling, and the project scheduling phase
S-Chart (S-Curve)
Graphical total schedule that also records progress over time
Gantt / Bar Chart
Simple chart relating each task to its schedule timeline
Long-Lead Items
Materials/equipment with long procurement times, flagged for close monitoring
Progress Schedule Regimentation
Setting precedence for all milestones, meetings, inspections, deliveries, and payments
Precon Meeting
Prebid meeting of all vested parties to settle production-scheduling details
Shop Drawing Log
Tracker of received/sent shop drawings, durations, and submittal dates (reviewed by PM and owner first)
Milestone
Benchmark marking the completion of a project phase
Network Diagram
Map of all production activities plus job logic that makes a schedule operable
Scheduling Philosophy
Selection of the scheduling system, which sets the production contracting basis
Workarounds
Alternative activities substituted when the critical path hits a bottleneck
Field Scheduling
Site-level scheduling that monitors projected vs. actual progress, critical path first
Proposal Scheduling
Preliminary bar-chart schedules contractors prepare (unpaid) during bidding
PERT
Military-origin technique estimating duration via the average of optimistic and pessimistic dates
CPM
Critical Path Method; late-1950s scheduling/logic tool, modernized by James Kelly (1967)
CPM Objectives
Schedule, Control, Organize, Implement
Activity
An item of work, shown as an arrow, with or without duration
Node / Event
The start and finish point of an activity
Arrow Diagram (AOA)
Network of activities/events drawn as arrows and nodes; needs dummies
Precedence Diagram (AON)
Activity-on-node diagram; eliminates dummies and is easy to modify
Time-Scale Diagram
Simple schedule-vs-time picture for management, not for detailed control
Restraint / Dummy
Non-time-consuming logic tie showing dependency between activities
Critical Path
Longest-duration chain in the network; its activities have zero float
Early Start (ES)
Earliest time work can begin on an activity
Early Finish (EF)
ES + duration
Late Start (LS)
Latest an activity can start without affecting project duration
Late Finish (LF)
Latest an activity can finish without affecting project duration
Forward Pass
Add durations left to right; take the LARGEST number at a merge → ES/EF
Backward Pass
Subtract durations right to left; take the SMALLEST value at a merge → LF/LS
Total Float (TF)
LS − ES (= LF − EF); delay possible without delaying the project
Free Float (FF)
ES(following) − EF(current); delay possible without delaying any successor
Time-Scaled Network
Network diagram plotted against a real time axis (based on early/late start) in bar-and-arrow form
Manpower Leveling
Smoothing worker/equipment counts to a stable level to cut the cost of employment fluctuation
Employment Fluctuation
Repeated hiring/laying off that adds cost; solved by keeping employment level
Program of Work (POW)
The master plan/budget document for executing a project
Direct Costs
Mobilization/demobilization, materials, labor, supervision (3% of labor), and equipment
Indirect Costs
OCM (8% of direct), contractor's profit (8% of direct), and VAT (5% of direct+OCM+profit)
Supervision Cost
Estimated at 3% of labor cost
OCM
Overhead, Contingencies & Miscellaneous; 8% of total direct cost
Contractor's Profit
8% of total direct cost
VAT
5% of (Total Direct Cost + OCM + Contractor's Profit)
Bill of Quantities (BOQ)
Detailed list of all work-item quantities for pricing
Detailed Estimate
Priced computation of all work items
S-Curve
Cumulative progress-versus-time curve
Gantt Chart
Simple task-versus-time bar chart
Equipment Utilization
Optional record of how equipment is used over the project
Cash Flow Plan
Plan of money inflows/outflows over time, drawn from economics
Minimum Project Contents
POW, BOQ, Detailed Estimate, PERT/CPM, Time-Scaled Network, Gantt, Manpower Leveling, S-Curve, Equipment Utilization (optional), Cash Flow, Plans & Specs
PERT
Program Evaluation Review Technique; handles duration uncertainty with three estimates and statistics
Optimistic Time (a)
Minimum time an activity will take; probability about 1%
Most Likely Time (m)
Normal duration most frequently required under identical conditions
Pessimistic Time (b)
Maximum time under the worst conditions; probability about 1%
Expected Time E(t)
Weighted average duration = (a + 4m + b)/6; equals the mean μ
Variance (σ²)
Measure of spread = (b − a)²/36
Standard Deviation (σ)
Square root of variance = (b − a)/6
Standard Normal Distribution
Normal curve with mean 0 and variance 1
Z-Score
Standardized value: z = (x − μ)/SD
Path Expected Time
Sum of the expected times of the activities on the path
Path Variance
Sum of the variances of the activities on the path
Critical Path (PERT)
Path with the greatest total expected time; controls completion probability
Central Limit Idea
Sum of many activity times is approximately normally distributed
On-Time Probability
P(z ≤ (target − μ)/SD) read from the standard normal table