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CMP.5:3 - Forces
| Force | What must be reconciled |
|---|
| Easy and informative relaxation | Removing many restrictions may simplify solution but leave a weak bound or hard recovery. |
| Relaxed value and admissible candidate | The easier optimum can be unobtainable under the original conditions. |
| Solver effort and useful improvement | Tightening a bound can cost more than exploring or using the current candidate. |
| Recovery and lost quality | Rounding or repair can restore feasibility while worsening the objective. |
| Mathematical and computed bounds | Approximate optimization and arithmetic can weaken or invalidate a claimed bound direction. |
| One criterion and several interests | A scalar optimization result answers its stated criterion; other objectives retain their own comparison. |