ampl-book/transp.ipynb

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      "cell_type": "markdown",
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      "source": [
        "# Book Example: transp\n",
        "[![transp.ipynb](https://img.shields.io/badge/github-%23121011.svg?logo=github)](https://github.com/ampl/colab.ampl.com/blob/master/ampl-book/transp.ipynb) [![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/ampl/colab.ampl.com/blob/master/ampl-book/transp.ipynb) [![Kaggle](https://kaggle.com/static/images/open-in-kaggle.svg)](https://kaggle.com/kernels/welcome?src=https://github.com/ampl/colab.ampl.com/blob/master/ampl-book/transp.ipynb) [![Gradient](https://assets.paperspace.io/img/gradient-badge.svg)](https://console.paperspace.com/github/ampl/colab.ampl.com/blob/master/ampl-book/transp.ipynb) [![Open In SageMaker Studio Lab](https://studiolab.sagemaker.aws/studiolab.svg)](https://studiolab.sagemaker.aws/import/github/ampl/colab.ampl.com/blob/master/ampl-book/transp.ipynb) [![Hits](https://h.ampl.com/https://github.com/ampl/colab.ampl.com/blob/master/ampl-book/transp.ipynb)](https://colab.ampl.com)\n",
        "\n",
        "Description: book example autogenerated using transp.mod, transp.dat, and transp.run\n",
        "\n",
        "Tags: ampl-only, ampl-book\n",
        "\n",
        "Notebook author: N/A\n",
        "\n",
        "Model author: N/A\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Install dependencies\n",
        "%pip install -q amplpy"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Google Colab & Kaggle integration\n",
        "from amplpy import AMPL, ampl_notebook\n",
        "\n",
        "ampl = ampl_notebook(\n",
        "    modules=[\"coin\"],  # modules to install\n",
        "    license_uuid=\"default\",  # license to use\n",
        ")  # instantiate AMPL object and register magics"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Example: transp\n",
        "autogenerated using transp.mod, transp.dat, and transp.run"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "%%writefile transp.mod\n",
        "set ORIG;   # origins\n",
        "set DEST;   # destinations\n",
        "\n",
        "param supply {ORIG} >= 0;   # amounts available at origins\n",
        "param demand {DEST} >= 0;   # amounts required at destinations\n",
        "\n",
        "   check: sum {i in ORIG} supply[i] = sum {j in DEST} demand[j];\n",
        "\n",
        "param cost {ORIG,DEST} >= 0;   # shipment costs per unit\n",
        "var Trans {ORIG,DEST} >= 0;    # units to be shipped\n",
        "\n",
        "minimize Total_Cost:\n",
        "   sum {i in ORIG, j in DEST} cost[i,j] * Trans[i,j];\n",
        "\n",
        "subject to Supply {i in ORIG}:\n",
        "   sum {j in DEST} Trans[i,j] = supply[i];\n",
        "\n",
        "subject to Demand {j in DEST}:\n",
        "   sum {i in ORIG} Trans[i,j] = demand[j];\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "%%writefile transp.dat\n",
        "data;\n",
        "\n",
        "param: ORIG:  supply :=  # defines set \"ORIG\" and param \"supply\"\n",
        "        GARY   1400\n",
        "        CLEV   2600\n",
        "        PITT   2900 ;\n",
        "\n",
        "param: DEST:  demand :=  # defines \"DEST\" and \"demand\"\n",
        "        FRA     900\n",
        "        DET    1200\n",
        "        LAN     600\n",
        "        WIN     400\n",
        "        STL    1700\n",
        "        FRE    1100\n",
        "        LAF    1000 ;\n",
        "\n",
        "param cost:\n",
        "         FRA  DET  LAN  WIN  STL  FRE  LAF :=\n",
        "   GARY   39   14   11   14   16   82    8\n",
        "   CLEV   27    9   12    9   26   95   17\n",
        "   PITT   24   14   17   13   28   99   20 ;\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "%%ampl_eval\n",
        "model transp.mod;\n",
        "data transp.dat;\n",
        "option solver cbc;\n",
        "solve;\n",
        "display Trans;\n"
      ]
    }
  ],
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