Introduction to Linear Optimization¶
Bertsimas, D., & Tsitsiklis, J. N. (1997). Introduction to Linear Optimization.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Linear Programming (LP)
- Linear programming clarifies resource-allocation decisions by providing a precise mathematical-optimization formulation and provably-optimal solutions given the model, as Bertsimas and Tsitsiklis (1997) develop in their canonical introduction to LP modelling and duality.
This sourceAthena Scientific. Comprehensive linear-optimization text; develops duality, shadow prices, and sensitivity analysis with applications to portfolio and constrained-resource problems.
- Linear programming clarifies resource-allocation decisions by providing a precise mathematical-optimization formulation and provably-optimal solutions given the model, as Bertsimas and Tsitsiklis (1997) develop in their canonical introduction to LP modelling and duality.
- Sensitivity Analysis (in Operations Research)
- In workforce and staffing, sensitivity analysis of demand patterns and labor-cost parameters informs staffing-level and contract-structure decisions.
This sourceAthena Scientific. Comprehensive linear-optimization text; develops duality, shadow prices, and sensitivity analysis with applications to portfolio and constrained-resource problems.
- In workforce and staffing, sensitivity analysis of demand patterns and labor-cost parameters informs staffing-level and contract-structure decisions.
Mechanisms¶
- Constraint Sensitivity Report
- Extrapolating past the swept interval invites false precision — the response curve is only trustworthy inside the range actually explored, which is exactly the caution that right-hand-side ranging formalizes.
This sourceFormalizes right-hand-side sensitivity as an interval of parameter changes over which the current basis remains optimal.
- Extrapolating past the swept interval invites false precision — the response curve is only trustworthy inside the range actually explored, which is exactly the caution that right-hand-side ranging formalizes.
Verification¶
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