Concepedia

Optimality Equations

Optimality Equations is a mathematical framework in stochastic shortest path problems that characterizes the minimal expected cost-to-go from each state by satisfying a set of recursive equations derived from dynamic programming principles, distinguishing it from alternative solution methods by explicitly encoding the necessary and sufficient conditions for policy optimality under uncertainty.

507

Publications

33.4K

Citations

916

Authors

496

Institutions

Publications per year

2017–2026

70

Parents

Publications

507

Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case

Robert C. Merton · The Review of Economics and Statistics · 1969 · 5.3K citations

, , +17

Introduction to Stochastic Dynamic Programming.

Donald A. Berry, Sheldon M. Ross · Journal of the American Statistical Association · 1986 · 1.2K citations

, , +11

MANAGEMENT OF EUTROPHICATION FOR LAKES SUBJECT TO POTENTIALLY IRREVERSIBLE CHANGE

S. R. Carpenter, Donald Ludwig, William A. Brock · Ecological Applications · 1999 · 902 citations

, , +17

Optimality analysis of sensor-target localization geometries

Adrian N. Bishop, Barış Fi̇dan, Brian D. O. Anderson et al. · Automatica · 2009 · 466 citations

, , +12

Optimality principles for model-based prediction of human gait

Marko Ackermann, Antonie J. van den Bogert · Journal of Biomechanics · 2010 · 446 citations

, , +15

1–5 of 507

Authors

916

  1. RC
    Rolando Cavazos–Cadena

    Universidad Autónoma Agraria Antonio Narro, Mexico

    11 publications · 262 citations

    10

    h-index

  2. XG
    Xianping Guo

    Sun Yat-sen University, China

    8 publications · 171 citations

    8

    h-index

  3. EF
    E. Fernández-Gaucherand

    University of Arizona, United States

    7 publications · 186 citations

    7

    h-index

  4. SI
    Steven I. Marcus

    University of Maryland, College Park, United States

    6 publications · 138 citations

    6

    h-index

  5. EA
    Eugene A. Feinberg

    Stony Brook University, United States

    5 publications · 237 citations

    5

    h-index

1–5 of 916

Institutions

496

  1. Stanford University

    Stanford, United States

    11 h-index

    16 publications

    852 citations

  2. The University of Texas at Austin

    Austin, United States

    10 h-index

    18 publications

    601 citations

  3. University of Michigan

    Ann Arbor, United States

    10 h-index

    25 publications

    2K citations

  4. University of Maryland, College Park

    College Park, United States

    9 h-index

    13 publications

    1.1K citations

  5. Universidad Autónoma Agraria Antonio Narro

    Saltillo, Mexico

    9 h-index

    9 publications

    235 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    9 h-index

    12 publications

    301 citations

  7. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    13 publications

    1.6K citations

  8. University of Illinois Urbana-Champaign

    Urbana, United States

    8 h-index

    11 publications

    566 citations

1–8 of 496

Venues

  1. Mathematics of Operations Research

    17 publications · 963 citations

    15

    h-index

  2. SIAM Journal on Control and Optimization

    15 publications · 586 citations

    14

    h-index

  3. IEEE Transactions on Automatic Control

    14 publications · 1.3K citations

    13

    h-index

  4. Journal of Optimization Theory and Applications

    14 publications · 307 citations

    12

    h-index

  5. Mathematical Methods of Operations Research

    10 publications · 216 citations

    10

    h-index

1–5