Constraints can feel like obstacles, yet they often provide the information that makes a problem solvable. Listing them explicitly helps you rule out impossible choices, detect conflicts, and avoid spending time optimizing an option that cannot meet the requirements.
Separate requirements and preferences
A required deadline or prerequisite differs from a preference for a convenient meeting time. List hard constraints first and preferences second. For a course plan, include eligibility, timetable conflicts, workload, and desired topics. Check whether a claimed requirement is official or merely habitual. Treating every preference as mandatory can make a solvable problem seem impossible, while treating a true requirement as optional creates unusable solutions.
Look for the tightest condition
Identify the constraint with fewest feasible options. Schedule a scarce shared room before flexible tasks, or use the narrowest numerical condition to reduce candidate values. Check interactions: two individually reasonable requirements may conflict when combined. A simple table can show which choices survive all mandatory conditions. Do not optimize aesthetic or convenience details before confirming that at least one feasible solution exists.
Explain tradeoffs openly
When no option satisfies every requirement, inspect whether the inputs are mistaken, whether a constraint can legitimately change, or whether the target must be revised. Do not quietly drop the inconvenient condition. Beginners can solve a small scheduling problem with a checklist. Experienced learners can distinguish feasibility from optimization and show which preference is sacrificed for another. Recheck the final candidate against the full original list, including conditions used early and then forgotten.
Put it into practice
Put it into practice
- Choose a planning problem.
- List hard requirements and preferences separately and find the tightest constraint.
- Generate one feasible option, check it against every requirement, and describe the preference tradeoff instead of claiming the option is best in every respect.
Sources & further reading
- Carnegie Mellon Eberly Center: Choosing an Appropriate Approach ↗
- Carnegie Mellon Eberly Center: Classroom Assessment Techniques ↗
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