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Structural properties of the progressive hedging algorithm

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Abstract

This short note discusses some structural properties of the progressive hedging algorithm. It is based on the finite case, but allows for event trees that are unbalanced and where the nodes can have a varying number of children. Generic procedures and a generic record definition for the algorithms are presented.

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References

  1. Th. Helgason and S.W. Wallace, Approximate scenario solutions in the progressive hedging algorithm, this volume.

  2. J.L. Kennington and R.V. Helgason,Algorithms for Network Programming (Wiley, New York, 1980).

    Google Scholar 

  3. J.M. Mulvey and H. Vladimirou, Solving multistage stochastic networks, Report SOR-88-1, Princeton University, NJ (1988).

    Google Scholar 

  4. J.M. Mulvey and H. Vladimirou, Evaluation of a distributed hedging algorithm for stochastic network planning, Report SOR-88-14, Princeton University, NJ (1988).

    Google Scholar 

  5. R.T. Rockafellar and R.J.-B. Wets, The principle of scenario aggregation in optimization under uncertainty, Math. Oper. Res. (1991), to appear.

  6. R.J.-B. Wets, The aggregation principle in scenario analysis and stochastic optimization, in:Algorithms and Model Formulations in Mathematical Programming, ed. S.W. Wallace, (Springer, Berlin, 1989) pp. 91–113.

    Google Scholar 

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Wallace, S.W., Helgason, T. Structural properties of the progressive hedging algorithm. Ann Oper Res 31, 445–455 (1991). https://doi.org/10.1007/BF02204862

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  • DOI: https://doi.org/10.1007/BF02204862

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