Mathematical modeling demonstrates a scalar efficiency metric in public entities, enabling objective evaluation of multi-input and multi-output operations.
Key Points
To establish a rigorous scalar metric for evaluating the operational efficiency of not-for-profit entities participating in public programs characterized by multiple inputs and outputs.
Formulated a nonlinear, nonconvex mathematical programming model that derives optimal weights directly from observational input-output data.
Constructed computational transformations establishing equivalence between the fractional nonlinear formulation and solvable linear programming models and their duals.
Produced an objective scalar efficiency score for individual decision-making units without requiring a priori weight assignments across disparate inputs and outputs.
Demonstrated that the dual linear programming formulations estimate empirical production frontiers, effectively linking economic and engineering perspectives of managerial efficiency.