Constraints Scheduling

Phase 2: Constraint Classification

Organize constraints into clear categories before searching for solutions:

1. Hard constraints (must be satisfied):

   • Participant availability windows
   • Existing calendar conflicts
   • Required meeting duration
   • Non-negotiable time restrictions

2. Soft constraints (preferences for tie-breaking):

   • Preferred days of week
   • Preferred times of day
   • Buffer time preferences
   • Other stated preferences

3. Edge case constraints:

   • Boundary conditions (e.g., meeting ending exactly when lunch begins)
   • Day-specific rules (e.g., early departure on certain days)
   • Buffer requirements (e.g., no meetings after a certain time)

Phase 3: Systematic Solution Search

Implement a comprehensive search approach:

1. Respect stated granularity - If the task specifies minute-level granularity, check all possible start times at that granularity (not just hour boundaries)
2. Use programmatic verification - Write a script that encodes all constraints and systematically checks every possible time slot
3. Single comprehensive script - Avoid duplicating work between manual analysis and code; trust programmatic verification
4. Check earliest valid slot - When finding the "earliest" slot, ensure the search starts from the correct baseline and respects granularity

Phase 4: Verification

Before finalizing the solution:

1. Verify against all hard constraints - Explicitly check each constraint against the selected time
2. Document boundary conditions - For edge cases (meeting ending exactly at a constraint boundary), explicitly confirm validity
3. Cross-reference with source data - Ensure the selected slot doesn't conflict with any extracted calendar events
4. Verify output format - Ensure the output matches any specified format requirements

Common Pitfalls

Data Extraction Issues

• Truncated file reads - Tool outputs may truncate long files; always verify complete data extraction or use programmatic parsing
• Manual parsing errors - Avoid manually extracting structured data (like ICS events) when libraries exist
• Missing events - Incomplete calendar parsing can lead to scheduling conflicts

Granularity Mistakes

• Ignoring stated granularity - If minute-level granularity is required, checking only hourly slots may miss valid earlier times
• Boundary assumptions - A meeting at 10:00-11:00 and a constraint starting at 11:00 may or may not conflict depending on requirements

Analysis Disorganization

• Redundant manual analysis - Performing the same constraint checks manually multiple times wastes effort and introduces inconsistency
• Stream-of-consciousness reasoning - Jumping between days and constraints without structure increases error risk
• Late verification - Checking input integrity after analysis is complete, rather than before

Constraint Handling

• Treating soft constraints as hard - Preferences should be tie-breakers, not elimination criteria
• Missing edge cases - Day-specific rules, buffer requirements, and boundary conditions are easily overlooked
• Incomplete constraint enumeration - Failing to extract all constraints from input data

Verification Checklist

Before submitting a scheduling solution, verify:

• All input files were read completely without truncation
• Input file integrity was verified (not modified)
• All hard constraints are satisfied by the selected time
• No conflicts exist with any extracted calendar events
• Stated granularity requirements were respected in the search
• Edge cases and boundary conditions were explicitly checked
• Soft constraints were used appropriately for selection among valid options
• Output format matches requirements

Best Practices

1. Start with programmatic approach - Immediately write a comprehensive script to parse inputs and check constraints rather than manual analysis
2. Use proper libraries - For ICS files, use icalendar or similar libraries; for other structured formats, use appropriate parsers
3. Structure analysis hierarchically - Organize by constraint category rather than jumping between different days or time slots
4. Single source of truth - Trust programmatic verification; avoid duplicating analysis manually
5. Explicit boundary handling - Document how boundary conditions are handled (inclusive vs exclusive endpoints)
6. Complete search - When finding "earliest" or "best" slots, search all possibilities at the required granularity