What question did this study set out to answer?

March 18, 2026

A Reciprocal Service Cost Approximation.

Puntos clave

The aim is to develop a better method for approximating service department costs involving reciprocal services.
Proposed a new cost approximation method for service departments.
Demonstrated analytical results that show convergence to correct allocations.
Conducted numerical comparisons with direct and step allocation methods.
The proposed method offers more accurate cost approximations than traditional methods.
Results indicate effectiveness even with parameter estimation errors.
Findings suggest real-world applications for better marginal cost assessments.

Resumen

Abstract ABSTRACT: This study proposes a new method for approximating service department costs when reciprocal services exist. Analytical results are provided demonstrating that, under certain conditions, the method produces approximations that converge to allocations under the theoretically correct reciprocal method. Numerical results are provided demonstrating that, the proposed method is more accurate than the two simplified allocation procedures, the direct and step methods, even when nontrivial parameter estimation errors are assumed. These results, based on sample statistics for hypothetical firm data, suggest that many real-world firms may be able to use the proposed method to make more accurate marginal cost assessments and, therefore, to Improve their service-related operating decisions.

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