Journal
OPERATIONS RESEARCH
Volume 58, Issue 4, Pages 1158-1177Publisher
INFORMS
DOI: 10.1287/opre.1100.0814
Keywords
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Funding
- American Express Company
- Stanford Presidential Faculty Grant
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Many decision problems exhibit structural properties in the sense that the objective function is a composition of different component functions that can be identified using empirical data. We consider the approximation of such objective functions, subject to general monotonicity constraints on the component functions. Using a constrained B-spline approximation, we provide a data-driven robust optimization method for environments that can be sample-sparse. The method, which simultaneously identifies and solves the decision problem, is illustrated for the problem of optimal debt settlement in the credit-card industry.
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