{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Robust optimization - example with szenario analysis\n", "In the standard case, the optimization takes all information (such as prices) for granted and finds the optimum that maximizes the DCF. In reality, particularly prices are uncertain. One way to take into account uncertainty is to minimize risk and maximize the minimum portfolio performance.\n", "\n", "In this sample we demonstrate robust optimization for a simple portfolio with a storage as the main asset -- where we have a small set of different szenarios. Those szenarios do not necessarily come from a distribution, they would more likely reflect distinct szenarios of a future development (e.g. a regulation is put in place vs. is not put in place).\n", "\n", "Note: This optimization approach assumes the asset cannot be re-optimized e.g. once new information during the time frame optimized is available." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Some prerequisites" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import datetime as dt\n", "import os, sys\n", "from IPython.display import display, HTML\n", "import eaopack as eao" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load data from JSON\n", "For simplicity we use a predefined (simple) portfolio. Note that eao provides a simple (de-)serialization from and to JSON files. This allows you to define and store simgle assets or portfolios" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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/f79L/V/PFX50dLTKlCmjnTt3av369QomBAMAAHzNJgnaPAGbHHgjEwIteLCgwIKBEydOKFgQDAAA8DULBGxSoAUDhfXKK69o/vz5eT+XLl3arTjYsmXLFZ8za9YsrVq1SoGCYAAAAEnnzp3T3r17XSBQ2BUBNnmwIHuuZQd27NihjIyMoAgGmEAIAPAF66T/8Ic/aM6cOa5ewMsvv+yu3qdPn66kpCT9/ve/18mTJ93KgZdeeslNBrTOvE6dOnryyScVExPjMgfjxo1zqwZspcFDDz3khgTsMb169dLWrVs1ZswYfetb31LFihXdz6tXr3bHsWWHr776qlauXKmhQ4e6oKNSpUr6wQ9+4I7vJTIDAADfsI7eOmfrsK1Drlatmj777DP98Y9/dIFCbi0B66Cfe+45vfDCC67TXrBgQd4xDh06pI4dO+pPf/qT2rVrl3e7dfLjx4/XT3/6Uxcs2IoEq1JoExItYGjevLl+9atfqXfv3urbt697nN3udSBggmfdAwAAN+nRRx913++88043LPDYY4+5n9u2beuGCCx7YAGBzQFYt26dKzyUmprqOvdclStX1q233nrJcZctW+Y6/l/+8pcu4DAbN27Upk2btGTJEvezZQesUmEgIhgAAPiGpfpNbgGh/D9nfz3+v2LFCn355Zf69a9/rbi4OHeFbz8XPEZ+tWvX1rZt29ySRAsULKCwr9/85jcaPXq0Ah3DBAAA6OKcAvuyaoJWL8ACAatEuHTp0ms+1+YM/OQnP9G///1vbdiwwZUqbtmypSZPnuwyC8a+5wYVVszI5ikECoIBAAB0MRiwOgG2x4BVE/zP//xPPf/882rcuHGhnl+jRg3913/9lyZMmOCyCzYvwOYU3HXXXbr99tvdv3OLEQ0bNkzTpk3THXfcoddff11eYzUBAABf++ijj9wKg/Lly9/whkPWrdqqhNatW6t9+/YKBmQGAAD4WrNmzVx2IDe1fyNsSaINMTRp0kTBgmAAAICvVa1a1S0BtAqCVonwetnwgj2vVatWLrsQLAgGAAC+l5OT4+oEWP0B68htCaBN8LPOvbBssqFlBay4kM0RCCbMGQAA+Ip1e2fOnNHhw4d15MgRt1Wx1Rgw99xzj+677z4XBNgqgu3bt7u5A1Y74EpbElsmwIIAqzNgQwN2jGDavtgQDAAAfMNm87/33nuXHQKoVavWJTUBrHv86quv9Pnnn7vgwQoQWSefW6PAlg9abQILAmxIwAoX1atX74YnHnopuEIXAABugpUWvlwgUKpUqbzqhLmsU7dlhQ0aNHCZAytDbHsaWOVCU6FCBVeNsGbNmi6QyA0SghGZAQCAr8yePTtvvX+udu3aqWfPnvIrJhACAHzDSgbbngH5hYeHB009gOJCMAAA8IW5c+dq6tSp7t9WHTA6Otr9u3Xr1q78sJ8xZwAAENKsZoAtGTxx4oTKli2rJ554wq0OsADAtibu0KGD/I45AwCAkLV7925NmTLFzfy3tf8PPfSQmyyISxEMAABC0ocffqjly5e7zr9fv36usiAuj2ECAEBIycjI0Lhx41xBIRsKsGGBxMREr5sV0AgGAAAh4+DBg24LYQsIrBrgoEGDGBYoBIIBAEBIWLZsmRYtWuSKBfXp08etEkDhEAwAAIKaTQ6cOHGi22PAtg4eNWqUKlas6HWzggrBAAAgaB07dszND7Dlg7YvwNChQxkWuAEEAwCAoLR69Wp98MEH7t89evTQ3Xff7XWTghbBAAAgqNjugW+++aZ27NjhqgiOGDFC1apV87pZQY1gAAAQNE6dOqWxY8e6nQNtt0ALBGxbYdwcziAAICjYToNz5syR1crr1KmTunTp4nWTQgbBAAAg4IcFpk+frs2bNysyMtJNEqxdu7bXzQopBAMAgICVnJzshgWSkpJUpUoVjR49WlFRUV43K+QQDAAAApJlAiwjYJmBdu3aqWfPnl43KWSxUREAIODY3IB169a5yYGPPvqoGjZs6HWTQhqZAQBAwEhNTdWYMWPcqoHy5cu7TYasqiCKF8EAACAgWN2At956y5UXvuOOO9S3b1+vm+QbDBMAADxnlQRXrVrlSgkPHDhQTZs29bpJvkJmAADgGdtq2FYLHD16VAkJCW5YwL6jZBEMAAA8YbsMTpo0SZmZmS4TYBkBNhnyBsEAAKDEffzxx1qyZInCwsL00EMPqWXLll43ydcIBgAAJcYmB44fP14HDhxQ6dKlXREhWzUAbxEMAABKxOHDh10gkJ6ergYNGmjw4MEMCwQIggEAQLFbuXKlFi5c6P59//3366677vK6SciHYAAAUGyslPDkyZO1a9cuxcTEaOTIkW6PAQQWggEAQLE4efKkWzZoVQVtl8Fhw4a58sIIPHwqAIAit3btWs2dO1dW165Lly7q1KmT103CVRAMAACKdFhg2rRp2rZtm9tq2LIBNWvW9LpZuAaCAQBAkUhKSnKbDJ09e1bVqlVz8wMsIEDgIxgAANy0TZs2aebMmS4z0L59e3Xv3t3rJuE6sFERAOCGWec/e/ZsffHFF25yoNUOqFevntfNwnUiMwAAuCEpKSlutcDp06dVsWJFt8mQLR9E8CEYAABct+3bt+utt95Sdna2WrdurT59+njdJNwEhgkAANflvffe05o1axQeHq5BgwapcePGXjcJN4nMAACgUNLS0tywwPHjx1W2bFk3LBAfH+91s1AECAYAANe0Z88eTZkyRZmZmbrtttvUv39/NhkKIQwTAACuatGiRVq2bJnr/Pv166fmzZt73SQUMTIDAIDLysjIcFsOHzp0yA0H2LCADQ8g9BAMAAC+wQKACRMmKD09XbfccoseffRRhgVCGMEAAOASn3zyiT766COFhYWpd+/eatOmjddNQjEjGAAAOFlZWZo0aZL27t2r2NhYjRo1SpUqVfK6WSgBBAMAALdccNy4cTp//rzq1q2rIUOGuPLC8Ac+aQDwOSsgNH/+fNnism7duqlDhw5eNwkljGAAAHy8ydDUqVNdaeHo6GiNGDHCbT0M/yEYAAAfOnPmjMaMGeM2G6pevbqbH8CwgH/xyQOAz2zYsEFz5sxxmYGOHTuqa9euXjcJHqMCIQD4hHX+M2bM0JdffqnIyEgNHjzYTRYEyAwAgA/YcMDrr7+upKQkt1xw9OjRiomJ8bpZCBAEAwAQ4rZu3ap33nlH2dnZatu2rXr16uV1kxBgGCYAgBD27rvvau3atQoPD3clhRs1auR1kxCAyAwAQAhKS0tzwwInT55UuXLl9OSTTyouLs7rZiFAEQwAQIjZtWuX3nzzTVdeuGXLlurbt6/bZwC4EoYJACCELFy4UCtWrHA7DA4YMEDNmjXzukkIAmQGACAEZGRkuL0Fjhw5ojJlyrhhgYSEBK+bhSBBMAAAQe7AgQOaOHGiCwiaNGmiQYMGucwAUFgEAwAQxJYuXarFixe7OQEPPvigWrVq5XWTEIQIBgAgCNnkwAkTJmj//v1ulYAVEapQoYLXzUKQIhgAgCBz9OhRvfHGG275YP369TVkyBCGBXBTCAYAIIisWrVKCxYscP/u2bOn2rVr53WTEAIIBgAgSDYZmjJlinbu3On2FBg5cqSqVKnidbMQIggGACDAnTp1SmPHjtW5c+dUs2ZNjRgxQhER/PlG0eG3CQAC2Lp169z+AlYfrnPnzrr33nu9bhJCEMEAAATosIDtNLhlyxZFRkZq2LBhqlWrltfNQogiGACAAJOcnKwxY8a471WrVtWoUaMUFRXldbMQwggGACCAbN68WdOnT3eZgbvvvls9evTwuknwATYqAoAAMXv2bK1fv95NDnz88cddDQGgJJAZAACPpaamumEBWzVgVQStmqBVFQRKCsEAAHhox44dmjp1qrKzs3XHHXeob9++XjcJPsQwAQB45P3339fq1atdKeGHH35Yt956q9dNgk+RGQCAEmZ7CowbN07Hjh1TYmKiGxZISEjwulnwMYIBAChB+/bt06RJk5SZmalmzZppwIABbDIEzzFMAAAlZPHixVq6dKnr/G1uQIsWLbxuEuCQGQCAYpaVleW2HD548KDi4+PdsEC5cuW8bhaQh2AAAIrR4cOHNX78eKWnp6thw4aufgDDAgg0BAMAUExWrFihhQsXKiwsTL169VLbtm29bhJwWQQDAFDErJTwxIkTtWfPHsXGxmrkyJGqXLmy180CrohgAACK0IkTJzR27FidP39ederU0dChQ115YSCQ8RsKAEXk888/17x582SLtLp27aqOHTt63SSgUAgGAKAIhgWmTZumbdu2ua2Ghw8frho1anjdLKDQCAYA4CYkJSXp9ddfV0pKiqpVq+bmB1hAAAQTggEAuEEbN27UrFmzXGagQ4cO6tatm9dNAm4IFQgB4DpZ529BgAUDNjlwyJAhqlu3rtfNAm4YmQEAuA42HDBmzBidOXNGFStW1BNPPKGYmBivmwXcFIIBACgkmyD49ttvKzs7W23atFHv3r29bhJQJBgmAIBCsCWDn332mcLDwzVo0CA1btzY6yYBRYbMAABcRVpamhsWsGJCZcuWdcMCttkQEEoIBgDgCqyc8OTJk92ug82bN1e/fv3YZAghiWECALiMDz/8UMuXL3edvwUBFgwAoYrMAADkk5GRoTfeeMNtPVymTBk3LJCYmOh1s4BiRTAAAF87ePCgJkyY4AICmyD4yCOPMCwAXyAYAABJy5Yt06JFixQWFqY+ffqodevWXjcJKDEEAwB8zSYHTpw4Ufv27VNcXJxGjRrligkBfkIwAMC3jh07pnHjxrnlg/Xq1dPQoUMZFoAvEQwA8KVPP/1U77//vmxBVffu3dW+fXuvmwR4hmAAgO82GXrzzTe1Y8cORUdHa8SIEW7rYcDPCAYA+Mbp06ddNcFz586pRo0aGjlypNt1EPA7/i8A4Avr16/Xu+++6zIDnTp1UpcuXbxuEhAwqEAIIKRZ5z99+nRt3rxZkZGRbpJg7dq1vW4WEFDIDAAIWcnJyRo7dqySkpJUpUoVjR49WlFRUV43Cwg4BAMAQtKWLVv0zjvvuMzAXXfdpfvvv9/rJgEBi2ECACFnzpw5WrduncLDw/XYY4+pYcOGXjcJCGhkBgCEjNTUVDcscPLkSZUvX95tMmRVBQFcHcEAgJCwc+dOTZ061ZUXbtmypR566CGvmwQEDYYJAAS9BQsWaOXKla6U8MCBA9W0aVOvmwQEFTIDAIKWbTVswwJHjx5VQkKCGxaw7wCuD8EAgKBkuwxOmjRJmZmZLhNgGQE2GQJuDMEAgKDz8ccfa8mSJQoLC1Pfvn11xx13eN0kIKgRDAAIGjY5cPz48Tpw4IBKly7tigjZqgEAN4dgAEBQOHz4sAsE0tPT1aBBAw0ePJhhAaCIEAwACHirVq1yKwaMVRK0ioIAig7BAICAZaWEJ0+erF27dikmJsZtOWx7DAAoWgQDAAKSVRG0ZYNWVdB2GRw2bJgiIviTBRQH/s8CEHDWrl2ruXPnymqidenSRZ06dfK6SUBIIxgAEFDDAm+//ba2bt3qthq2bEDNmjW9bhYQ8ggGAASEpKQkjRkzRmfPnlXVqlU1atQoFxAAKH4EAwA89+WXX2rGjBkuM9C+fXt1797d6yYBvsJGRQA8Y53/nDlztGHDBjc50GoH1KtXz+tmAb5DZgCAJ1JSUtxqgdOnT6tixYpukyFbPgig5BEMAChx27dv11tvvaXs7Gy1bt1affr08bpJgK8xTACgRL333ntas2aNwsPDNWjQIDVu3NjrJgG+R2YAQIlIS0tzwwLHjx9XYmKinnzyScXHx3vdLAAEAwBKwp49ezRlyhRlZmbqtttuU//+/dlkCAggDBMAKFaLFi3SsmXLXOffr18/NW/e3OsmASiAzACAYpGRkeG2HD506JAbDrDVAmXLlvW6WQAug2AA8LOsc1L6KSknUwqLkKLKSpEJN31YCwAmTJig9PR03XLLLXr00UcZFgACGMEA4CfZ6dLxT6RTn0tnvpBSdknZGZJstDBMKhUpla4llW0hlb1dqtpViih9XS+xfPlyffjhhwoLC1Pv3r3Vpk2bYns7AIoGcwYAP7Cr/wMzpf0zpHN7pQtZUqmoix19qWgpLOxiPHAhQ8o+J2WnSWGlpNhqUs2HpFoDpbgalxzSigUlJyerTp067uesrCxNmjRJe/fuVWxsrNtboFKlSh69YQDXg2AACGX2v/fRxdLWl6SzO6XwGCm60sXv12KBQfoJKSvlYiBwyw+kmv1ckGB/Nl599VW3TNA6/ejoaI0bN07nz59X3bp1NWTIEFdeGEBwIBgAQpVd3W9+Xto/82ImIK6WVOoGOuicC1LqATugVOU+6fZntX3vCbdU0FggYHMDTLdu3dShQ4eificAihmhOxCKslKl9b+QDn8gRVeUosrd+LFsuKB0bSnzrHT4feVknNaKTS3dnAC7lrBAwP5tqwVq1Lh0KAFAcGB6LxBqLmRKG397MRCwMf+bCQTyiywjxdVR5pFluj17giKVlneXBQW7du0qmtcBUOIIBoBQs3eqdHCeFFNViijacr854dE6khylWrEHdGfimkvuW7x4sSs5DCD4MEwAhJLk7dL2V6Xw2ItX8kXIJhcdPXpU520lYqlYNSvzpY5kN9SFCu1UvXp11a5dmy2IgSBFMACECpsLvO0vUvpxKb5hkR8+OTlJSUlJioqKUtnyVVU656iGNjyqsA6PS+FRRf56AEoOwQAQKpK3SCdWSzFVLk76K2JxcaVVq1YtxcXGXrwhO0pK/upiESMrTgQgaDFnAAgVB+derAkQcfPlhC8nMiLi/wcCxtUqyJYOzCqW1wNQcggGgFApM3xovhRR5mI1wZISVUE6sUpKPVhyrwmgyBEMAEHG1vSfOXPm0htTdkuZZ25qk6EzKZn6v1N2XHLbky9u0OJ1J678JAs+LBtxdvsNvy4A7xEMAKEgZYeUlXZxFUERBgOv/7SFutxR8cpPchUNc6Szlz4PQHBhAiEQxD777DP98Ic/VMrJvYrJOaW/PF1eHZqXd/fNW3lUz47/ShmZF1w24dX/aK67mpbTkD+s1bb955SRdUG1KsVqzM9uV9XyMXrqfzbq7PkstXxyqSLCw/TZqx11749X6McP11e/e6rq2Ol0PfWXjdp+4JxbuPB0/7r6Tt+LmxTV7fQTDX9ynxYuXKgjR464aoS/+tWvPD47AAqLYAAIUhkZGRowYIBee+019ay9SZ/M+ZsG/vZz7ZjcRYdOpGnUCxu09K/t1aR2vDKzLig1Lds97+UfNFOlstHu35YJePaNr/TKf9yuV/6juQsE1r/e6bKv9/TfNqlxrdKa8X/udIFB6+8sU4uGCWpX2xKMF9zQxcqVK3XixAk1aNDAbWBEeWIgOBAMAEFq27ZtKlWqlHr27Clt2ah7msWpSrkord+RrA07knV/m0ouEDCREaWUGH9xVHDKhwc1ceFBpWVcUFpGtiomFq5GwIdrT+jz73R0/65cLloDOlbVh5+fULva4e62wYMHu+8VK1ZU/fr1tXv3boIBIEgQDACh4Ou5AjYccDWfbDylv83co5X/28F16HOWH9Fvxn11Qy/5/1/rgv10SfXB8PBwZWVl3dBxAZQ8JhACQapx48a6cOGCG6e37YlXbEnVkVNpatkwQT3bVtIHnx3X1n0p7rE2TJCUkqnTZzNVJjZCFRKi3FyCV9/dl3e8hLgInc+44G6/nG6tKuq1uRcff/xMumYsO6zurSterFNcKrKE3jWA4kBmAAhSVhZ4xowZbgLhfyadVEzWCb3zm2aKj41QwxoRGvezFhr63DoXCISHh+mVZ5rr/raVNGnhATUevtgFBN1aV9TBExc3FyqfEKXhPWro9ieWuGPYBML8/vb0bfruyxvVfPQSN4Hwl0Ma6a4mZaTUU1IYf0qAYBaWY3uPAghu2WnSoh4Xv1s54pKScUa6kC51nC6VrlVyrwugSDFMAIQCKw1craeUmXRxw6KSknFSKt9KiqtZcq8JoMgRDAChosaDUkRpKeus+zFHOTqTlKT0DNtzuJhKICtMqjWgZEsgAyhyDPQBIeJCQjNlxDVV2InlOp1ZUWdTzurChRzVqFFd0VHFsMVw2kGpTAOp8uXrEgAIHgQDQJAXHnr//fe1f/9+nTp1SuUjEtW3cpZK6ZAuXIhX1SpVFF86vhhe+LRUKkpq8szXuxcCCGYMEwBBLDs7W5s2bXJV/2yZ4YmMylqXfIeiSmUoMT5SiYmJxfCiGVL6calmf6nyvUV/fAAljmAACGKxsbF68MEHL7nti7MttPt8fVUqnS5lny/aF7yQIaXukcq3lho/zVwBIEQQDABBzLIBO3fuvPQ2RepU7Z8ovGoXKXW/lJlcNC+WlSqd2yOVaym1ekmKKlc0xwXgOeYMAEEqKSlJY8eOVXJyssqXL++GDOw226+gQ+f7pZhe0qbfS4feuzjGb8v/wi7uI3Bdci5I5w9LF9Kkyp2lFn+QYioXx1sC4BGCASAIrV27VvPmzXOZgbZt26pXr15u62DbwdB+LlOmzMUHtvy/UuWO0ta/Sik7pYh4Kbrixcl/13Ih62IdAatdEF1JavQfUp1HKT0MhCAqEAJBxDr/KVOmuKEBK0f8+OOPq27dunn3nz17VqVLl3bZgUucPyLtmyYdmH3xKt+u9m1zI6tLUCr64ti//SmwOQHZqRe/bNOB6MpS9V4Xg4D4+iX/hgGUCIIBIEgcPnxYEyZMUFpammrWrKlhw4a5gOC6ZJ2TjnwknfpcOr1eSjtyMQBwfwbCLl71W+ag3O1SuTukqt2l6PLF9ZYABAiCASAILFmyRB9//LHbNvi+++5Thw4dbv6g9r9++smLQwEXMi8GApGJF/c2YJUA4CsEA0AAsyzA+PHj3XyAuLg4jRw5UpUqVfK6WQBCDBMIgQBl8wKmTp2qrKwsNW7cWI888sg35wIAQBEgMwAEoHfffdetGLDOv2/fvmrRooXXTQIQwsgMAAHEagaMGzdOZ86cUbly5dywQEJCgtfNAhDiCAaAALFhwwbNmTPHLR9s3bq1+vTp43WTAPgEwwSAx6zzt7kB27dvV2RkpB577DHVr8+afgAlh8wA4KFjx4651QKpqamqVq2aGxa47toBAHCTCAYAjyxfvlwfffSRLDl37733qnPnzl43CYBPEQwAJSwjI8NVEjx48KDbgnjEiBGqUqWK180C4GMEA0AJ2rNnj9tbIDMzUw0aNNDgwYOpHQDAc0wgBErI/Pnz9emnn7rO/4EHHlCrVq28bhIAOGQGgGKWkpLiagecOnVKiYmJGjVqlPsOAIGCYAAoRps2bdLMmTPd8sGWLVvqwQcfZFgAQMBhmAAoBtb5v/POO9qyZYsiIiLcvgKNGjXyulkAcFlkBoAidvLkSb3xxhtueMBWCVjtgJiYGK+bBQBXRDAAFKFVq1ZpwYIFrnZAx44d1bVrV6+bBADXRDAAFAHbZnjixInat2+foqOjNXz4cFWvXt3rZgFAoRAMADdp//79mjRpkismVLduXQ0ZMsTNEwCAYMFfLOAmLFy4UCtWrFBYWJh69+6tNm3aeN0kALhuBAPADbCNhax2wIkTJ1SmTBlXO6BcuXJeNwsAbgjBAHCdtm7d6pYNZmdn67bbblP//v2pHQAgqFFnALiO2gFWQMgKCYWHh2vgwIG69dZbvW4WANw0MgNAIZw+fdoNC5w9e1YVK1Z0wwJxcXFeNwsAigTBAHANa9ascZsMWRLt7rvvVo8ePbxuEgAUKYIB4Cq1A2y74d27dysqKkpDhw5VrVq1vG4WABQ5ggHgMg4dOuSKCKWlpal27doaNmwYtQMAhCz+ugEFLFq0SMuWLXO1A3r27Kl27dp53SQAKFYEA8DXLAtgGwwdPXpUpUuXdhsM2WRBAAh1BAOApO3bt2vatGlunoAtF3z44YepHQDAN6gzAPm9dsC7776r9evXu87fCghZISEA8BMyA/CtpKQkVzvAvpcvX97VDoiPj/e6WQBQ4ggG4Evr1q3T3LlzXWagbdu26tWrl9dNAgDPMEwAX7HO/80339SOHTsUGRmpwYMHu22HAcDPyAzAN2yVwPjx43X+/HnVqFFDw4cPd8WEAMDvCAbgC0uXLtXixYtd7YD77rtP99xzj9dNAoCAQTCAkJaRkeFqBxw+fNhtLDRixAhVrlzZ62YBQEAhGEDI2rVrl6ZOnarMzEzdcsstevTRR6kdAACXwQRChKR58+bps88+c51/37591aJFC6+bBAABi8wAQkpKSorGjh2r06dPq2zZsq52QEJCgtfNAoCARjCAkLFx40bNmjXLLR9s1aqVHnzwQa+bBABBgWECBD3r/G1fgW3btrlthm1uQMOGDb1uFgAEDTIDCGrHjx93qwVSU1NVtWpVt1ogJibG62YBQFAhGEDQWrFihT788ENZcqtz58669957vW4SAAQlggEEZe2AiRMn6sCBAy4LYJUEq1Wr5nWzACBoEQwgqOzbt0+TJ092AUGDBg30+OOPKzw83OtmAUBQIxhA0Pjggw+0atUqV1K4T58+at26tddNAoCQQDCAgGeTA612wMmTJ13NAKsdYDUEAABFg2AAAW3z5s2aMWOGsrOzdfvtt+uhhx6ipDAAFDHqDCBgawdMnz7dBQNWO+Dhhx9W48aNvW4WAIQkMgMIOKdOndK4ceNcaWHbYdCGBagdAADFh2AAAWX16tVuoqAlrDp06KBu3bp53SQACHkEAwgIWVlZmjRpkvbu3avo6GgNGzZMNWrU8LpZAOALBAPwnBUPskAgPT1ddevW1ZAhQ9w8AQBAyeAvLjxl5YSXL1/uagf06tVLbdu29bpJAOA7BAPwrHaAbTBkGw3Fx8e7SYLly5f3ulkA4EsEAyhxttXw22+/7WoHNGvWTAMGDKB2AAB4iDoDKNHaAbNmzdLGjRvdfgIWBDRt2tTrZgGA75EZQIk4c+aMqx2QnJysChUqaPTo0YqLi/O6WQAAggGUhM8//1zz5s1ztQPatWunnj17et0kAEA+BAMo1toBb775pnbt2qWoqCi3ZLB27dpeNwsAUADBAIrF4cOHNWHCBKWlpalWrVquiFBkZKTXzQIAXAbBAIrc4sWLtXTpUlc7oHv37mrfvr3XTQIAXAXBAIqMZQHGjx+vI0eOqHTp0ho5cqQqVqzodbMAANdAMIAisWPHDr311ltunkCTJk00aNAgagcAQJCgzgBuunbA3LlztW7dOtf59+vXT82bN/e6WQCA60BmADfMagZY7QCrIWClhK2ksJUWBgAEF4IB3JD169fr3XffdZmBNm3aqHfv3l43CQBwgxgmwHWxzn/q1Knavn27Wyr4+OOPq169el43CwBwE8gMoNCOHj3qVgucP39e1atX14gRI1wxIQBAcCMYQKEsW7bM1Q+wRFLXrl3VsWNHr5sEACgiBAO4qoyMDJcNOHTokGJjY102oEqVKl43CwBQhAgGcEV79uzRlClTlJmZqYYNG7r5AdQOAIDQwwRCXNZ7772nNWvWuM7/wQcfVMuWLb1uEgCgmJAZwCVSUlJc7YBTp04pMTFRo0ePVkJCgtfNAgAUI4IB5Nm0aZNmzpzplg/ecccd6tOnD8MCAOADDBPAdf5vv/22tm7dqoiICD3yyCNq1KiR180CAJQQMgM+d+LECb3xxhs6d+6cqlat6lYLxMTEeN0sAEAJIhjwsZUrV2rhwoWudkCnTp3UpUsXr5sEAPAAwYAP2TbDEyZM0P79+10WYPjw4apWrZrXzQIAeIRgwGf27dunyZMnu2JC9evXd7UDbJ4AAMC/6AV8ZMGCBW5oICwsTA888IDuvPNOr5sEAAgABAM+kJqa6moH2GTBMmXKuNoBZcuW9bpZAIAAQTAQ4rZs2aLp06crOztbzZs3V79+/agdAAC4BHUGQrh2gBUQskJC4eHhGjRokBo3bux1swAAAYjMQAiyUsJWO+Ds2bOqVKmSRo4cqbi4OK+bBQAIUAQDIcY2F5o/f76rHdC+fXt1797d6yYBAAIcwUAI1Q6wJYO27XB0dLSGDBmiWrVqed0sAEAQIBgIAQcPHtTEiROVnp6uOnXqaOjQodQOAAAUGj1GkFu0aJGWLVvmagf07NlT7dq187pJAIAgQzAQpNLS0lztgGPHjik+Pt5NEqxQoYLXzQIABCGCgSC0fft2TZs2zc0TaNq0qQYOHEjtAADADaPOQJDVDpgzZ442bNjgagf0799fzZo187pZAIAgR2YgSCQlJWns2LFKTk52wwE2LGDDAwAA3CyCgSCwdu1azZs3z2UG2rZtq169enndJABACCEYCGDW+U+ZMkU7d+5UVFSU2264bt26XjcLABBiCAYC1OHDh13tgPPnz6tmzZoaNmyYCwgAAChqBAMBaMmSJfr4449d7YBu3bqpQ4cOXjcJABDCCAYCSEZGhttgyLICtrGQTRK0jYYAAChOBAMBwuYFvPXWW8rMzHRbDT/yyCPUDgAAlAjqDASAd999160YsM6/b9++atGihddNAgD4CJkBD1nNACspfObMGZUrV84NCyQkJHjdLACAzxAMeMSqCFo1QVs+2Lp1a/Xp08frJgEAfIphghJmnb/NDfjqq68UGRmpxx57TPXr1/e6WQAAHyMzUIJsh8Hx48crNTVV1apVc8MC1A4AAHiNYKCELF++XB999JEsEXPvvfeqc+fOXjcJAACHYKAEagdMmDBBBw8eVGxsrEaMGKEqVap43SwAAPIQDBSjPXv2uL0FrHZAgwYNNHjwYGoHAAACDhMIi8n8+fP16aefus7/gQceUKtWrbxuEgAAl0VmoIilpKS4ksInT55UYmKiRo0a5b4DABCoCAaK0JdffqmZM2cqOztbLVu21IMPPsiwAAAg4DFMUES1A6ZPn67NmzcrIiLC7SvQqFEjr5sFAEChkBm4STYcYMMCNjxgqwSsdkBMTIzXzQIAoNAIBm7CqlWrtGDBAlc7oGPHjuratavXTQIA4LoRDNyArKwsTZw4Ufv27VN0dLSGDx+u6tWre90sAABuCMHAddq/f78mT56s9PR01a1bV0OGDHHzBAAACFb0Ytdh4cKFWrFihcLCwtS7d2+1adPG6yYBAHDTCAYKwTYWskmCx48fV5kyZVztgHLlynndLAAAigTBwDVs3bpV77zzjqsdcNttt6l///7UDgAAhBTqDHwtOTnZLQnM3VLYagfMmjVLGzduVHh4uAYOHKhbb73V62YCAFDkyAxIbjLgK6+8orJly+qJJ55wgcG4ceN09uxZVaxY0Q0LxMXFed1MAACKBZkBSUuXLtXHH3/s6gXUr19fu3fvdv++++671aNHD6+bBwBAsfJ9ZuD8+fNavny56/zNrl273FLBYcOGqXbt2l43DwCAYhcSwYBN7jtx4oQrDWwz/01sbKzKly+vSpUqXbUOwMqVK5WRkXHJbZGRkapQoUKxtxsAgEAQEexj/bY5kM34T0pKcpUBrQaAsSt9m/hnSwGbNGmiZs2auQAhv3PnzrmswOWyBR988IEGDBhQYu8FAACvBG0wcODAAX3yyScuI2BX/jbBz77nDwYsOLAO3/YQ+Oqrr9wcgHr16rn77b7XX3/drRrIz4IH23CIXQcBAH4RlBMId+zY4Sb8WWYgMTHRZQCuxjp8yxxYsNChQweXJZgyZYo7jg0HWJBgAYANKeQuLQQAwC+CLhg4fPiw3nvvPTfOb4FAbibgWuxt2lJBe7ytEEhLS3NVBC0IAADAz4KqlJ4FADbGb2P61xMIGHusDQHY8IDtL1CnTh0CAQAAgi0Y2L59u44ePXrdgUAue44999SpU9qyZUuxtBEAgGATkMHAnj17XEXAgml+68CtQ7+ZLYNtXwF7vh3LliQCAOB3QRMMWIlgu6K/VlngwnTwdgybP2B1CQAA8DvPJxDa+P/IkSPdhkBW7MfG8fft26e9e/eqcePGrgrgnDlzNHv2bD3zzDNuzN8eZxUC7X7bVvgXv/iF7rvvPneMjh07qlatWpo2bZoyMzPd43v37q0uXbq41zt9+rT+9a9/uSWJVnrYHmt1CJ599ln3+F//+tdatGiRm59wyy236NVXX2W7YgBASPO8zsD777+vM2fOuOJBxq7+v/jiC/34xz/W+vXr3W3WMT/11FOuCNA999zjigy9/PLL+stf/uLut6qDNWrU0OOPP+5+TklJcZ27DQnYv//7v/9bt99+u1tGOH78eNfJ2/HsuwUVFgyYF198UaVLl9ann37qfv7973+vX/3qV/rHP/7h0dkBAMAHwUCLFi3c+P33vvc9de7c2V3FF7Rt2zbXsTdt2tT9bJ23TQS04QTr4K3OgAUJuSwAeO2119wyRLvPhgSsSJE99ssvv9SQIUPc42xHwj59+uQ9z7YstnoE06dPzwtC6tatWwJnAQAAH88ZsFS9ZQXuv/9+t2zwtttuc6n8gnJXD+TOCci/miA6OtoFC7nGjBnjrvqff/55/elPf1K1atUu2X/ARkbsy7IA+Y9jt/397393GQn7snZZTQMAAEKZ58GAXbFbh9y3b1/9+c9/dh2yXcHbFXoumxtgj7GKgdapW2lhG1q40lW7lSC2aoL2HMs62PyDXFZ90KoX2rwDm08wd+7cvPv69evnhh5yNzuy75ZJAAAglHk+TGCT/mwCYO5eAjaG3759e9dpW5bAMgc2gXDGjBnuPpsYGBMTox/96Efuuw0BFGRzB8aOHauZM2e64kINGzbMu2/48OHu6n/NmjVuuOGuu+5S2bJl3X0///nPXYljuy03Y2C3WVsAAAhVnq8muN6iQwsXLlR8fLy7sr8RdrVvmYOuXbu64YN27dpp0qRJLgAAAMCPgioYsPkCNoZvaf/y5ctfdxVCe6ubNm1ymxQlJCS4pYTf/va33ZJFAAD8yvNhguthKwNs10GbYGhftv7/ejYqsnkGNmSwevVq9iUAACBQJhBeL8sIdOvWzW06ZDUJ8q8SuBLLANhjY2NjXXEiAgEAAIJ0mCA/ywx88skn2r9/v7vqt44+KirKLTG0bIENKVigYBUOTfXq1V0tAltlAAAAQiAYMBcuXNCuXbtcRcIjR464zt9uMxYU2CRD6/xvvfVWNWjQ4KY2OAIAIFQFdTCQy96CZQBsKMBWChjLFNiQQsHCQgAAIASDAQAA4KMJhAAAoGgRDAAA4HMEAwAA+BzBAAAAPkcwAACAzxEMAADgcwQDAAD4HMEAAAA+RzAAAIDPEQwAAOBzBAMAAPgcwQAAAD5HMAAAgM8RDAAA4HMEAwAA+BzBAAAAPkcwAACAzxEMAADgcwQDAAD4HMEAAAA+RzAAAIDPEQwAAOBzBAMAAPgcwQAAAD5HMAAAgM8RDAAA4HMEAwAA+BzBAAAAPkcwAACAzxEMAAAgf/t/zUcYaFZXIL8AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define file names for this sample\n", "## input data\n", "sample_file = 'portfolio_robust_optimization.json'\n", "timegrid_file = 'timegrid.json'\n", "portf = eao.serialization.load_from_json(file_name= sample_file)\n", "timegrid = eao.serialization.load_from_json(file_name=timegrid_file)\n", "eao.network_graphs.create_graph(portf = portf,title = 'Simple sample portfolio')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define price samples\n", "Each contract comes with its own price. In this example we keep two price series fixed (for fix price sales contracts) and sample the floating price (sourcing). Note that the storage is the main element that requires robust optimization. In a deterministic case, it is steered hard to a specific price vector. In the robust case it takes into account prices are uncertain." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "price_samples = []\n", "# szenario 1\n", "ts = 5+4*np.sin(np.linspace(0.,15., timegrid.T)) \n", "price_samples.append({'price': ts})\n", "# szenario 2\n", "ts = 5+5*np.sin(3.+np.linspace(0.,15., timegrid.T)) \n", "price_samples.append({'price': ts})\n", "# szenario 3\n", "ts = 5+3*np.sin(1+np.linspace(0.,12., timegrid.T)) \n", "price_samples.append({'price': ts})\n", "# mean price - to provide an alternative optimization target\n", "mean_prices = {}\n", "for myp in price_samples[0]:\n", " ts = 0.\n", " for i, ps in enumerate(price_samples):\n", " ts += ps[myp]\n", " ts /= len(price_samples)\n", " mean_prices[myp] = ts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running the optimization\n", "### (1) deterministic optimization on the mean price" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "op_mean = portf.setup_optim_problem(mean_prices, timegrid)\n", "res_mean = op_mean.optimize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (2) robust optimization on the whole set of prices\n", "In the implementation we re-use the optimization problem with all its restrictions and add the samples. For this purpose, the price samples need to be translated to specific cost arrays for each asset in the portfolio." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "cost_samples = portf.create_cost_samples(price_samples = price_samples, timegrid = timegrid)\n", "res_robust = op_mean.optimize(target = 'robust', samples = cost_samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Portfolio value\n", "Looking at the plain portfolio value, it is not surprising, that the robust optimization achieves less value on the mean price, than the optimization that is optimized directly on the mean" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Portfolio value against mean prices:\n", "... optimized against mean: 359.2\n", "... robust optimization : 118.3\n" ] } ], "source": [ "print('Portfolio value against mean prices:')\n", "print('... optimized against mean: ' + '{:10.1f}'.format(res_mean.value))\n", "print('... robust optimization : ' + '{:10.1f}'.format(res_robust.value))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let us look at the performance of the optimized portfolios against price samples." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minimum portfolio value on original samples:\n", "... optimized against mean: -2018.6\n", "... robust optimization : 118.3\n" ] } ], "source": [ "values_mean = np.empty(len(price_samples))\n", "values_robust = np.empty(len(price_samples))\n", "for i, myc in enumerate(cost_samples):\n", " values_mean[i] = -sum(res_mean.x*myc)\n", " values_robust[i] = -sum(res_robust.x*myc)\n", "print('Minimum portfolio value on original samples:')\n", "print('... optimized against mean: ' + '{:10.1f}'.format(values_mean.min()))\n", "print('... robust optimization : ' + '{:10.1f}'.format(values_robust.min())) \n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "n_bins = 10\n", "fig, ax = plt.subplots(1,2, sharey = True, sharex = True, tight_layout = True)\n", "fig.suptitle('Results on training samples')\n", "ax[0].hist(values_mean, bins = n_bins)\n", "ax[1].hist(values_robust, bins = n_bins)\n", "ax[0].set_xlabel('portfolio value')\n", "ax[0].set_ylabel('sample frequency')\n", "ax[0].set_title('optimized against mean')\n", "ax[1].set_title('robust optimization')\n", "ax[0].axvline(x = values_mean.mean(), c = 'g', label = 'mean')\n", "ax[1].axvline(x = values_robust.mean(), c = 'g', label = 'mean')\n", "ax[0].axvline(x = values_mean.min(), c = 'r', label = 'min')\n", "ax[1].axvline(x = values_robust.min(), c = 'r', label = 'min')\n", "ax[1].legend()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Detailed view\n", "Let us look at prices and the dispatch" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "out_mean = eao.io.extract_output(portf, op_mean, res_mean , mean_prices)\n", "out_robust = eao.io.extract_output(portf, op_mean, res_robust , mean_prices)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, sharey = True, sharex = True, tight_layout = True)\n", "fig.suptitle('Asset dispatch and prices')\n", "# add price info to dispatches\n", "out_mean['dispatch']['mean price'] = mean_prices['price']\n", "out_robust['dispatch']['mean price'] = mean_prices['price']\n", "out_robust['dispatch'].drop(['market'], axis = 1, inplace=True)\n", "out_mean['dispatch'].drop(['market'], axis = 1, inplace=True)\n", "for i, ps in enumerate(price_samples):\n", " out_robust['dispatch']['sample '+str(i)] = ps['price']\n", " out_mean['dispatch']['sample '+str(i)] = ps['price']\n", "out_mean['dispatch'].plot(kind='line', ax = ax[0])\n", "out_robust['dispatch'].plot(kind='line', ax = ax[1], legend = None)\n", "ax[0].set_title('optimized against mean')\n", "ax[1].set_title('robust optimization')\n", "#ax[0].axis('off')\n", "#ax[1].axis('off')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This illustrates the approach (being a very simple example): The dispatch optimized against the mean exploits ups and downs in the mean of prices. However, due to the design of the szenarios, this optimum may prove a very bad fit for some szenarios. The robust optimization maximizes against all single szenarios jointly using a MaxiMin target." ] } ], "metadata": { "kernelspec": { "display_name": "my_env", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.9" }, "orig_nbformat": 2 }, "nbformat": 4, "nbformat_minor": 2 }