Schedule Feasibility Check

Schedule Feasibility Check problems involve determining whether a set of scheduling constraints can be satisfied simultaneously. You need to check for contradictions or cycles in the constraints.

10Worksheets
200+Practice Questions
AdvancedDifficulty
2-3 hoursHours to Master

Introduction to Schedule Feasibility Check

Schedule Feasibility Check problems involve determining whether a set of scheduling constraints can be satisfied simultaneously. You need to check for contradictions or cycles in the constraints.

Prerequisites

Constraint consistency Cycle detection Logical contradiction Feasibility analysis
Why This Matters: Feasibility Check problems appear in 1-2 questions in CAT and Banking exams. They test logical consistency and constraint satisfaction.

How to Solve Schedule Feasibility Check Problems

1

Step 1: List all constraints (before, after, consecutive, etc.)

2

Step 2: Check for direct contradictions (e.g., A before B and B before A)

3

Step 3: Build constraint graph for before/after relations

4

Step 4: Check for cycles (cycle means impossible)

5

Step 5: If no cycles and no contradictions, schedule is feasible

6

Step 6: Answer Yes/No

Pro Strategy: Build a directed graph for precedence constraints. If there's a cycle, constraints are inconsistent.

Example Problem

Example: Constraints: A before B, B before C, C before A. Feasible? Solution: Step 1: A before B, B before C implies A before C Step 2: But C before A contradicts A before C Step 3: Cycle detected → impossible Answer: No

Pro Tips & Tricks

  • Before constraints: A→B means A before B
  • Cycle: A→B→C→A means impossible
  • Consecutive constraints don't create cycles alone
  • If no cycles, schedule is feasible (may not be unique)

Shortcut Methods to Solve Faster

If constraint graph has a cycle → infeasible
If no cycle → feasible
Direct contradictions (A before A) → infeasible

Common Mistakes to Avoid

Assuming all constraints are independent (they interact)
Not checking transitive implications
Missing cycles that require multiple steps
Confusing feasibility with optimality

Exam Importance

Schedule Feasibility Check is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
CAT
2-3 questions
INSURANCE
1-2 questions

Ready to Master Schedule Feasibility Check?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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