Finished presentation, got congergent social planner problem.

4 years ago · f8d3643329
parent 333bc5000c
commit f8d3643329
2 changed files with 803 additions and 59 deletions
--- a/3rdyearpresentation/Presentation/Presentation.tex
+++ b/3rdyearpresentation/Presentation/Presentation.tex
@ -73,19 +73,17 @@ Washington State University \\ % Your institution for the title page
    \frametitle{Orbital Debris}
    %Story from monday ISS

-    Recent News:
+    \href{https://edition.cnn.com/2021/11/15/politics/russia-anti-satellite-weapon-test-scn/index.html}{ISS threatened by debris cloud - Monday Nov 15th, 2021}
    \begin{itemize}
-        \item Russion conducts an Anti-Satellite Missle Test generating at least 1,500 items of trackable debris
+        \item Russia conducts an Anti-Satellite Missle Test generating at least 1,500 items of trackable debris
        \item The Astronauts and Cosmonauts on the ISS entered lockdown, including donning pressure suits.
        \item The situation is still being monitored although the immediate danger appears to have passed.
    \end{itemize}
-
-    \url{https://edition.cnn.com/2021/11/15/politics/russia-anti-satellite-weapon-test-scn/index.html}
 \end{frame}
 %-------------------------------
 \begin{frame}
    \frametitle{Orbital Debris}
-    Other recent events highlight the dangers from orbital debris:
+    Other events involving the ISS highlight the dangers from orbital debris:
    \begin{itemize}
        \item ISS conducts 3 evasive maneuvers to doge debris in 2020- 
            \href{https://www.jpost.com/science/international-space-station-nearly-struck-by-chinese-satellite-debris-684809}{Jerusalem Post}
@ -103,6 +101,9 @@ Washington State University \\ % Your institution for the title page
    \frametitle{Orbital Debris}
    %Talk about Fregat breakup
    Not just an issue for manned space flight.
+
+
+    \href{https://www.orbitaldebris.jsc.nasa.gov/quarterly-news/pdfs/odqnv25i1.pdf}{Orbital Debris Quarterly News - NASA}
    \begin{itemize}
        \item In May of 2020, the Satellite SL-23 Zenit Fregat's 
            tank suffered a second breakup event.
@ -111,9 +112,13 @@ Washington State University \\ % Your institution for the title page
        \item Debris was spread in orbits between 500km and 6,000km.
    \end{itemize}

-    \href{https://www.orbitaldebris.jsc.nasa.gov/quarterly-news/pdfs/odqnv25i1.pdf}{Orbital Debris Quarterly News - NASA}
-    
+    \href{https://www.yahoo.com/news/space-debris-russian-missile-test-175253044.html}{Starlink and recent Anti-Sat test}
+    \begin{itemize}
+        \item Estimated that there will likely be some impact to Starlink operations.
+        \item 1,500 large pieces of debris initially identified.
+    \end{itemize}
 \end{frame}
+
 %-------------------------------
 \begin{frame}
    \frametitle{Why now?}
@ -122,17 +127,16 @@ Washington State University \\ % Your institution for the title page

    In recent years two major changes have occured
    \begin{enumerate}
-        \item SpaceX: Plummeting Launch costs
+        \item New launch providers: SpaceX, RocketLab, etc have lead to plummeting launch costs
        \item CubeSates and other Nano-Satellites.
    \end{enumerate}
 \end{frame}
 %-------------------------------
 \begin{frame}
-    \frametitle{Goal of the Paper}
+    \frametitle{Goals}
    %Model decision making of satellite operators to be able to investigate policies to reduce kessler syndrome.

-    \center
-    Project Goals:
+    Goals:
    \begin{itemize}
        \item Model the choices  
            facing Satellite Constellation Operators
@ -192,7 +196,6 @@ Washington State University \\ % Your institution for the title page
         \item $D_t$: The level of debris.
         \item $X_t$: The set of launches.
         \item $x^i_t$: The launches from constellation $i$.
-         \item 
     \end{itemize}
 \end{frame}
 %-------------------------------
@ -404,18 +407,18 @@ Washington State University \\ % Your institution for the title page
    % present basic approach (using my notation)
    % Discuss basic training loop (use sutton and bartos term Generalized Policy Iteration)

-    Bellman Residual minimization \autocite{MALIAR2018}
+    Bellman Residual minimization due to \autocite{MALIAR2018}

    Use NN to approximate $V(S_t,D_t|\theta_1)$ and $X(S_t,D_t|\theta_2)$. 

    The loss function is:
    \begin{align}
-        %0 =& \left[
-        %    V(S_t, D_t) - F(S_t, D_t, X_t)- \beta V(S_{t+1}, D_{t+1})
-        %    \right]^2
-        %    - v \left[
-        %        F(S_t, D_t, X_t) + \beta V(S_{t+1}, D_{t+1})
-        %    \right] \\
+        0 =& \left[
+            V(S_t, D_t) - F(S_t, D_t, X_t)- \beta V(S_{t+1}, D_{t+1})
+            \right]^2       \notag\\
+            &- v \left[
+                F(S_t, D_t, X_t) + \beta V(S_{t+1}, D_{t+1})
+            \right] \\
        0 =& \left[
                V(S_t, D_t) - F(S_t, D_t, X_t)- \beta V(S_{t+1}, D_{t+1})
                - \frac{v}{2}
@ -459,7 +462,14 @@ Washington State University \\ % Your institution for the title page
    \frametitle{State of the Code}
    Currently functioning
    \begin{itemize}
-        \item Nothing
+        \item Planner Value and Policy training
+    \end{itemize}
+
+
+    Almost functioning
+    \begin{itemize}
+        \item Operator Value and Policy training
+        \item Proto-Kessler Region analysis
    \end{itemize}
    %Planner training
    %Operator training
@ -476,9 +486,8 @@ Washington State University \\ % Your institution for the title page

    Some analyses I plan on completing include
    \begin{itemize}
-        \item Trajectory Analysis
-        \item Free Entry Conditions
-        \item Kessler Regions
+        \item Kessler Region analysis
+        \item Free Entry conditions analysis
    \end{itemize}
 \end{frame}
 %-------------------------------
@ -489,18 +498,42 @@ Washington State University \\ % Your institution for the title page
 %-------------------------------
 \begin{frame}
    \frametitle{Summary}
+    Summary
+    \begin{enumerate}
+        \item Created Dynamic model of the MDP facing satellite operators.
+        \item Defined new Kessler Regions for computational analysis.
+        \item Currently developing solution and simulation tools.
+        \item Much work left to do.
+    \end{enumerate}
 \end{frame}
 %-------------------------------
 \begin{frame}
-    \frametitle{Future Work}
+    \frametitle{Other Areas Needing Work}
+    
+    Related Orbits Work
+    \begin{enumerate}
+        \item Adding stochastic elements to the model.
+        \item Parameter Estimation.
+        \item Rights of Way.
+        \item Satellite Lifetimes and constellation management.
+    \end{enumerate}
+
+    Related computational work
+    \begin{enumerate}
+        \item Automating the Euler Equation Residuals method.
+    \end{enumerate}
 \end{frame}
 %-------------------------------
 \begin{frame}
-    \frametitle{}
+    \frametitle{Questions?}
+
+    \center
+    Any remaining questions?
 \end{frame}
 %-------------------------------
-\begin{frame}
-    \frametitle{Questions?}
+\begin{frame}[allowframebreaks]
+\frametitle{References}
+\printbibliography
 \end{frame}
 %\begin{frame}
 %    \frametitle{MarginalRevenue}
--- a/julia_code/BellmanResidual_Operators.jl
+++ b/julia_code/BellmanResidual_Operators.jl