Chapter 2 — Project Management and Quality Management¶

1. Project Management Fundamentals¶

Likely Exam Question (5 marks)

"Define project management. Explain the characteristics of a project."

Definition¶

A project is a temporary endeavor undertaken to create a unique product, service, or result with a defined beginning and end.

Project Management is the application of knowledge, skills, tools, and techniques to project activities to meet project requirements.

Characteristics of a Project¶

Characteristic	Description
Temporary	Definite start and end dates
Unique	Creates a one-time deliverable
Progressive Elaboration	Details emerge as project proceeds
Resource-Constrained	Limited budget, time, people
Goal-Oriented	Specific objectives to achieve

Triple Constraint (Iron Triangle)¶

\[ \boxed{\text{Project Success} = f(\text{Scope, Time, Cost})} \]

Fig: Project triple constraint: scope, time, and cost form the iron triangle, with quality at the center

Changing one constraint affects the others
Quality sits at the center — affected by all three

2. Project Life Cycle¶

Likely Exam Question (10 marks)

"Explain the different phases of a project life cycle with suitable diagram."

Phases of Project Life Cycle¶

Phase	Activities	Key Outputs
1. Initiation	Define project, feasibility study, stakeholder identification	Project Charter, Feasibility Report
2. Planning	Scope definition, WBS, scheduling, budgeting, risk planning	Project Plan, WBS, Schedule, Budget
3. Execution	Carry out project plan, team management, quality assurance	Deliverables, Progress Reports
4. Monitoring & Controlling	Track progress, manage changes, corrective actions	Performance Reports, Change Requests
5. Closure	Final deliverable, documentation, lessons learned	Final Report, Handover Document

Diagram¶

Fig: Project effort over the life cycle: effort rises through initiation and planning, peaks during execution and monitoring, then falls at closure

Key Documents in Each Phase¶

Document	Phase	Purpose
Project Charter	Initiation	Authorizes the project, defines scope
Work Breakdown Structure (WBS)	Planning	Hierarchical decomposition of work
Gantt Chart	Planning/Execution	Visual timeline of tasks
Risk Register	Planning	Identifies and assesses risks
Progress Report	Monitoring	Tracks actual vs. planned progress
Lessons Learned	Closure	Documents successes and failures

Key Exam Points — Project Life Cycle

5 phases: Initiation → Planning → Execution → Monitoring → Closure
WBS is a hierarchical breakdown of project scope into manageable work packages
Project Charter formally authorizes the project

3. CPM — Critical Path Method¶

Likely Exam Question (10 marks)

"What is CPM? Find the critical path for the following network diagram. Calculate EST, EFT, LST, LFT, and float."

Definition¶

Critical Path Method (CPM) is a deterministic project scheduling technique that identifies the longest sequence of dependent tasks (critical path) to determine the minimum project duration.

Key Terminology¶

Term	Symbol	Formula
Earliest Start Time	EST	Max(EFT of all predecessors)
Earliest Finish Time	EFT	EST + Duration
Latest Finish Time	LFT	Min(LST of all successors)
Latest Start Time	LST	LFT − Duration
Total Float	TF	LST − EST = LFT − EFT
Free Float	FF	Min(EST of successors) − EFT

CPM Calculation Steps¶

Draw Network Diagram (Activity-on-Node or Activity-on-Arrow)
Forward Pass — Calculate EST and EFT (left to right)
Backward Pass — Calculate LFT and LST (right to left)
Calculate Float — TF = LST − EST
Identify Critical Path — Activities with TF = 0

Solved Example¶

Q. Given the following activities, find the critical path and project duration.

Activity	Duration (days)	Predecessor
A	3	—
B	4	—
C	2	A
D	5	B
E	3	A, B
F	4	C, D, E

Solution:

Step 1 — Forward Pass:

Activity	Duration	EST	EFT
A	3	0	3
B	4	0	4
C	2	3	5
D	5	4	9
E	3	4	7
F	4	9	13

EST of E = max(EFT of A, EFT of B) = max(3, 4) = 4
EST of F = max(EFT of C, EFT of D, EFT of E) = max(5, 9, 7) = 9

Step 2 — Backward Pass:

Activity	LFT	LST	TF
F	13	9	0
E	9	6	2
D	9	4	0
C	9	7	4
B	4	0	0
A	6	3	3

Step 3 — Critical Path:

\[ \boxed{\text{Critical Path: B → D → F, Duration = 13 days}} \]

Activities B, D, and F have Total Float = 0, hence they are critical.

Key Exam Points — CPM

Critical path = longest path = minimum project duration
Activities on critical path have zero float
Delay in any critical activity delays the entire project

4. PERT — Program Evaluation and Review Technique¶

Likely Exam Question (10 marks)

"Differentiate between CPM and PERT. Calculate expected time and variance for PERT."

Definition¶

PERT is a probabilistic project scheduling technique that accounts for uncertainty in activity duration using three time estimates.

Three Time Estimates¶

Estimate	Symbol	Description
Optimistic	\(t_o\)	Best case (minimum time)
Most Likely	\(t_m\)	Normal conditions
Pessimistic	\(t_p\)	Worst case (maximum time)

PERT Formulas¶

Expected Time:

\[ \boxed{t_e = \frac{t_o + 4t_m + t_p}{6}} \]

Variance:

\[ \boxed{\sigma^2 = \left(\frac{t_p - t_o}{6}\right)^2} \]

Standard Deviation:

\[ \boxed{\sigma = \frac{t_p - t_o}{6}} \]

Project Variance (for critical path):

\[ \sigma^2_{\text{project}} = \sum \sigma^2_{\text{critical activities}} \]

CPM vs. PERT¶

Feature	CPM	PERT
Nature	Deterministic	Probabilistic
Time Estimate	Single (fixed) duration	Three estimates (\(t_o, t_m, t_p\))
Application	Construction, routine projects	R&D, new/uncertain projects
Focus	Cost-time trade-off	Time-uncertainty analysis
Activity Duration	Known with certainty	Uncertain, uses Beta distribution

Solved Example — PERT¶

Q. Given the following data for a project, calculate expected time for each activity and find the critical path.

Activity	\(t_o\)	\(t_m\)	\(t_p\)	Predecessors
A	2	4	6	—
B	1	3	11	—
C	3	5	7	A
D	2	6	10	B
E	4	5	12	A, B

Solution:

Step 1 — Calculate Expected Time (\(t_e\)):

Activity	\(t_e = \frac{t_o + 4t_m + t_p}{6}\)	\(t_e\)
A	\((2 + 16 + 6)/6\)	4
B	\((1 + 12 + 11)/6\)	4
C	\((3 + 20 + 7)/6\)	5
D	\((2 + 24 + 10)/6\)	6
E	\((4 + 20 + 12)/6\)	6

Step 2 — Forward Pass and Critical Path:

Path A → C: 4 + 5 = 9
Path A → E: 4 + 6 = 10
Path B → D: 4 + 6 = 10
Path B → E: 4 + 6 = 10

\[ \boxed{\text{Critical Paths: A → E and B → D and B → E (Duration = 10)}} \]

Step 3 — Variance of Critical Path (using B → D):

\[ \sigma^2_B = \left(\frac{11 - 1}{6}\right)^2 = \frac{100}{36} = 2.78 \]

\[ \sigma^2_D = \left(\frac{10 - 2}{6}\right)^2 = \frac{64}{36} = 1.78 \]

\[ \sigma^2_{\text{project}} = 2.78 + 1.78 = 4.56 \]

\[ \sigma_{\text{project}} = \sqrt{4.56} = 2.14 \text{ days} \]

5. Gantt Chart¶

Likely Exam Question (5 marks)

"What is a Gantt Chart? Explain its advantages and limitations."

Definition¶

A Gantt Chart is a horizontal bar chart that shows project tasks against time, indicating start dates, end dates, and progress.

Example¶

Advantages and Limitations¶

Advantages	Limitations
Easy to understand and create	Does not show task dependencies clearly
Shows timeline visually	Becomes complex for large projects
Tracks progress easily	Does not identify critical path
Good for communication	Difficult to show resource allocation
Shows overlapping activities	Not suitable for dynamic changes

Gantt Chart vs. Network Diagrams¶

Feature	Gantt Chart	Network Diagram (CPM/PERT)
Visual style	Bar chart	Node-and-arrow graph
Dependencies	Not explicit	Clearly shown
Critical path	Not visible	Identified
Best for	Simple tracking	Complex analysis

6. Project Scheduling and Resource Leveling¶

Likely Exam Question (5 marks)

"What is resource leveling? Why is it important in project management?"

6.1 Project Scheduling¶

Project scheduling involves:

Identifying all activities and their durations
Establishing dependencies between activities
Allocating resources to each activity
Creating a timeline using CPM/PERT or Gantt charts

6.2 Resource Leveling¶

Resource Leveling is the technique of adjusting the project schedule to resolve resource over-allocation without changing the project scope.

Why Resource Leveling?¶

Resources (people, equipment) are limited
Multiple activities may need the same resource simultaneously
Prevents burnout and equipment overuse

Methods¶

Method	Description	Impact
Delay Non-Critical Activities	Shift activities with float to periods of less demand	May not extend project
Activity Splitting	Break an activity into parts	Increases complexity
Resource Smoothing	Adjust within available float only	Project duration unchanged
Resource Leveling	May extend project duration to resolve over-allocation	Project duration may increase

Example¶

If Activity B and Activity C both need the same crane in Week 3:

Check float of B and C
Delay the one with higher float to Week 4
If both are critical → need additional resource or accept delay

6.3 Cost Control in Projects¶

Earned Value Management (EVM) is the standard method for cost and schedule performance measurement.

Metric	Formula	Meaning
Planned Value (PV)	Budgeted cost of scheduled work	What should have been spent
Earned Value (EV)	Budgeted cost of work performed	Value of work completed
Actual Cost (AC)	Actual cost of work performed	What was actually spent
Cost Variance (CV)	\(CV = EV - AC\)	Negative = over budget
Schedule Variance (SV)	\(SV = EV - PV\)	Negative = behind schedule
Cost Performance Index (CPI)	\(CPI = EV / AC\)	< 1.0 = over budget
Schedule Performance Index (SPI)	\(SPI = EV / PV\)	< 1.0 = behind schedule

Solved Example — EVM¶

Q. A project has PV = Rs. 50,000, EV = Rs. 45,000, and AC = Rs. 55,000. Calculate CV, SV, CPI, and SPI. Interpret the results.

Solution:

\[ CV = EV - AC = 45{,}000 - 55{,}000 = -10{,}000 \text{ (Over budget by Rs. 10,000)} \]

\[ SV = EV - PV = 45{,}000 - 50{,}000 = -5{,}000 \text{ (Behind schedule)} \]

\[ CPI = \frac{EV}{AC} = \frac{45{,}000}{55{,}000} = 0.818 \text{ (Only 82 paisa return per rupee spent)} \]

\[ SPI = \frac{EV}{PV} = \frac{45{,}000}{50{,}000} = 0.90 \text{ (90\% of planned work completed)} \]

\[ \boxed{\text{Project is both over-budget and behind schedule}} \]

Key Exam Points — Scheduling & Cost Control

Resource leveling may increase project duration
EVM integrates scope, schedule, and cost measurement
CPI < 1 = over budget; SPI < 1 = behind schedule

7. Operational Budget¶

Likely Exam Question (5 marks)

"What is an operational budget? Explain its components."

Definition¶

An operational budget is a financial plan for the day-to-day operations of an organization for a specific period (usually one year).

Components¶

Component	Description	Example
Revenue Budget	Expected income	Service charges, subscription fees
Personnel Budget	Salaries, benefits, training	Staff wages, allowances
Operating Expense Budget	Day-to-day costs	Rent, utilities, maintenance
Capital Budget	Long-term investments	Equipment, infrastructure
Contingency Reserve	Buffer for unexpected costs	5–10% of total budget

Budget Preparation Process¶

Review Previous Year — Analyze actual vs. budgeted
Set Objectives — Align with strategic goals
Estimate Revenue — Project income streams
Estimate Expenses — Detail all cost categories
Review & Approve — Management approval
Monitor & Control — Periodic variance analysis

Quality–Time–Cost Dimensions¶

\[ \boxed{\text{Project Success} = \text{Right Quality} + \text{On Time} + \text{Within Budget}} \]

Dimension	Objective	Measure
Quality	Meet specifications	Defect rate, customer satisfaction
Time	Complete on schedule	Milestones met, SPI
Cost	Stay within budget	Variance, CPI

8. Negotiating¶

Likely Exam Question (5 marks)

"What are the key negotiation strategies in project management?"

Definition¶

Negotiation is a process in which two or more parties with different interests reach an agreement through discussion and compromise.

Negotiation Strategies¶

Strategy	Description	When to Use
Win-Win (Collaborative)	Both parties gain value	Long-term relationships
Win-Lose (Competitive)	One party gains at other's expense	One-time deals, adversarial
Compromise	Both parties give up something	Time pressure, equal power
Accommodate	Yield to other party	Preserve relationship
Avoid	Withdraw from negotiation	Low-priority issues

BATNA (Best Alternative to a Negotiated Agreement)¶

Know your BATNA before negotiating
Stronger BATNA = stronger negotiation position
Never accept a deal worse than your BATNA

Key Negotiation Skills for Project Managers¶

Active listening
Clear communication
Understanding stakeholder interests
Flexibility and creativity
Emotional intelligence

9. Monitoring and Evaluation (M&E)¶

Likely Exam Question (5 marks)

"Differentiate between monitoring and evaluation in project management."

Monitoring vs. Evaluation¶

Aspect	Monitoring	Evaluation
Timing	Continuous, during implementation	Periodic (mid-term, end-term)
Purpose	Track progress, detect problems early	Assess overall impact and effectiveness
Focus	Activities, inputs, outputs	Outcomes, impact
Who	Project team, managers	External evaluators, stakeholders
Nature	Operational	Strategic and analytical

Key Performance Indicators (KPIs)¶

KPI Category	Example
Schedule	% milestones completed on time
Cost	Budget variance, CPI
Quality	Defect rate, rework percentage
Scope	Number of change requests
Stakeholder	Customer satisfaction score

Monitoring Tools¶

Dashboard Reports — Visual summary of project status
Earned Value Analysis — Integrated cost-schedule tracking
Status Meetings — Regular team check-ins
Milestone Reviews — Assessment at key project points
Variance Analysis — Compare planned vs. actual

10. Quality Management¶

Likely Exam Question (10 marks)

"What is Total Quality Management (TQM)? Explain Deming's 14 Points."

10.1 Quality Concepts¶

Quality is the degree to which a product or service meets customer requirements and expectations.

Quality Guru	Contribution
W. Edwards Deming	14 Points, PDCA Cycle, System of Profound Knowledge
Joseph Juran	Quality Trilogy (Planning, Control, Improvement)
Philip Crosby	Zero Defects, Quality is Free
Kaoru Ishikawa	Fishbone/Cause-Effect Diagram, Quality Circles
Genichi Taguchi	Loss Function, Robust Design

10.2 Total Quality Management (TQM)¶

TQM is a management approach focused on continuous improvement of quality in all organizational processes, led by top management and involving all employees.

Principles of TQM¶

Principle	Description
Customer Focus	Quality defined by customer needs
Total Employee Involvement	All employees contribute to quality
Process Approach	Focus on processes, not just outputs
Continuous Improvement (Kaizen)	Small, incremental improvements
Fact-Based Decision Making	Use data and statistical tools
System Integration	All subsystems aligned toward quality
Leadership Commitment	Top management drives quality culture

10.3 Deming's PDCA Cycle (Deming Wheel)¶

Fig: Deming PDCA cycle: Plan, Do, Check, Act arranged in a continuously repeating loop

10.4 Deming's 14 Points for Management¶

#	Point
1	Create constancy of purpose for improvement
2	Adopt the new philosophy
3	Cease dependence on mass inspection — build quality in
4	End the practice of awarding business based on price alone
5	Improve constantly every process
6	Institute training on the job
7	Adopt and institute leadership
8	Drive out fear
9	Break down barriers between departments
10	Eliminate slogans and exhortations
11	Eliminate numerical quotas
12	Remove barriers to pride of workmanship
13	Encourage education and self-improvement
14	Take action to accomplish the transformation

10.5 Quality Management Tools¶

Seven Basic Quality Tools¶

Tool	Purpose
Cause-Effect Diagram (Ishikawa/Fishbone)	Identify root causes of problems
Check Sheet	Collect and organize data
Control Chart	Monitor process stability over time
Histogram	Show frequency distribution
Pareto Chart	Identify vital few vs. trivial many (80/20 rule)
Scatter Diagram	Show relationship between two variables
Flowchart	Map a process step-by-step

10.6 Six Sigma¶

Six Sigma is a data-driven methodology for eliminating defects (achieving 3.4 defects per million opportunities).

DMAIC Process¶

Phase	Activity
Define	Define the problem, project scope
Measure	Measure current process performance
Analyze	Identify root causes of defects
Improve	Develop and implement solutions
Control	Sustain improvements with monitoring

10.7 ISO 9001 Quality Management System¶

ISO 9001 is the international standard for Quality Management Systems (QMS).

Principle	Description
Customer Focus	Meet and exceed customer expectations
Leadership	Create unity of purpose
Engagement of People	Competent, empowered people
Process Approach	Manage activities as processes
Improvement	Ongoing improvement as objective
Evidence-Based Decisions	Based on data analysis
Relationship Management	Manage relationships with stakeholders

Key Exam Points — Quality Management

TQM focuses on continuous improvement with customer focus
PDCA: Plan → Do → Check → Act (repeated continuously)
Know Deming's 14 Points (at least 5)
Pareto Principle: 80% of problems come from 20% of causes
Six Sigma DMAIC: Define → Measure → Analyze → Improve → Control
ISO 9001: International quality management standard with 7 principles