A decision support approach for two-stage multi-objective index tracking using improved lagrangian decomposition
Dexiang Wu and
Desheng Dash Wu
Omega, 2020, vol. 91, issue C
Abstract:
We present a decision support approach for a network structured stochastic multi-objective index tracking problem in this paper. Due to the non-convexity of this problem, the developed network is modeled as a Stochastic Mixed Integer Linear Program (SMILP). We also propose an optimization-based approach to scenario generation to protect against the risk of parameter estimation for the SMILP. Progressive Hedging (PH), an improved Lagrangian scheme, is designed to decompose the general model into scenario-based sub-problems. Furthermore, we innovatively combine tabu search and the sub-gradient method into PH to enhance the tracking capabilities of the model. We show the robustness of the algorithm through effectively solving a large number of numerical instances.
Keywords: Uncertainty; Index tracking; Stochastic mixed integer linear program (SMILP); Progressive hedging (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)
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DOI: 10.1016/j.omega.2018.12.006
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