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Iowa State University

Operational Research

Affinely adjustable robust counterpart

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Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering

Conditions Under Which Adjustability Lowers The Cost Of A Robust Linear Program, Ali Haddad-Sisakht, Sarah M. Ryan Oct 2018

Conditions Under Which Adjustability Lowers The Cost Of A Robust Linear Program, Ali Haddad-Sisakht, Sarah M. Ryan

Industrial and Manufacturing Systems Engineering Publications

The adjustable robust counterpart (ARC) of an uncertain linear program extends the robust counterpart (RC) by allowing some decision variables to adjust to the realizations of some uncertain parameters. The ARC may produce a less conservative and costly solution than the RC does but cases are known in which it does not. While the literature documents some examples of cost savings provided by adjustability (particularly affine adjustability), it is not straightforward to determine in advance whether they will materialize. The affine adjustable robust counterpart, while having a tractable structure, still may be much larger than the original problem. We establish ...


Closed-Loop Supply Chain Network Design With Multiple Transportation Modes Under Stochastic Demand And Uncertain Carbon Tax, Ali Haddadsisakht, Sarah M. Ryan Jan 2018

Closed-Loop Supply Chain Network Design With Multiple Transportation Modes Under Stochastic Demand And Uncertain Carbon Tax, Ali Haddadsisakht, Sarah M. Ryan

Industrial and Manufacturing Systems Engineering Publications

We optimize the design of a closed-loop supply chain network that encompasses flows in both forward and reverse directions and is subject to uncertainty in demands for both new and returned products. The model also accommodates a carbon tax with tax rate uncertainty. The proposed model is a three-stage hybrid robust/stochastic program that combines probabilistic scenarios for the demands and return quantities with uncertainty sets for the carbon tax rates. The first stage decisions are facility investments, the second stage concerns the plan for distributing new and collecting returned products after realization of demands and returns, and the numbers ...