GMM_MCLP.ipynb

{
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    {
      "cell_type": "code",
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      "id": "15299ff1",
      "metadata": {
        "id": "15299ff1",
        "outputId": "363338ca-ce29-40b0-8a30-2d7d28e8e0d1"
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      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
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        }
      ],
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "from sklearn.mixture import GaussianMixture\n",
        "import matplotlib.pyplot as plt\n",
        "from matplotlib.patches import Ellipse\n",
        "\n",
        "#MCLP\n",
        "from mclp import *\n",
        "%matplotlib inline\n",
        "\n",
        "# 파일 이름과 경로 지정\n",
        "park_file = 'park.csv'\n",
        "market_file = 'market.csv'\n",
        "culture_file = 'center.csv'\n",
        "school_file = 'school.csv'\n",
        "busstop_file = 'bus.csv'\n",
        "\n",
        "df = pd.read_csv('Variables for Clustering ver2.csv', encoding='euc-kr')\n",
        "\n",
        "# csv 파일 읽어오기\n",
        "park_data = pd.read_csv(park_file)\n",
        "market_data = pd.read_csv(market_file)\n",
        "culture_data = pd.read_csv(culture_file)\n",
        "school_data = pd.read_csv(school_file)\n",
        "busstop_data = pd.read_csv(busstop_file)\n",
        "\n",
        "# 필요한 데이터만 추출\n",
        "park_location = park_data[['위도', '경도']].values\n",
        "market_location = market_data[['위도', '경도']].values\n",
        "culture_location = culture_data[['위도', '경도']].values\n",
        "school_location = school_data[['위도', '경도']].values\n",
        "busstop_location = busstop_data[['위도', '경도']].values\n",
        "\n",
        "# 가중치 적용하여 데이터프레임 만들기\n",
        "park_weight = 0.992\n",
        "market_weight = 0.916\n",
        "culture_weight = 0.708\n",
        "school_weight = 0.1\n",
        "busstop_weight = 0.002\n",
        "\n",
        "park_weighted = np.column_stack((park_location, np.full(len(park_location), park_weight)))\n",
        "market_weighted = np.column_stack((market_location, np.full(len(market_location), market_weight)))\n",
        "culture_weighted = np.column_stack((culture_location, np.full(len(culture_location), culture_weight)))\n",
        "school_weighted = np.column_stack((school_location, np.full(len(school_location), school_weight)))\n",
        "busstop_weighted = np.column_stack((busstop_location, np.full(len(busstop_location), busstop_weight)))\n",
        "\n",
        "total_weighted = np.vstack((park_weighted, market_weighted, culture_weighted, school_weighted, busstop_weighted))\n",
        "\n",
        "# 군집화\n",
        "gmm = GaussianMixture(n_components=400, random_state=0).fit(total_weighted)\n",
        "\n",
        "# 중심점의 위치 데이터 출력\n",
        "\n",
        "centers = gmm.means_[:, :2]\n",
        "print(centers)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "356935e1",
      "metadata": {
        "id": "356935e1",
        "outputId": "b09955fb-c440-425d-ea2e-e2de141b7a2a"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# 원본 위치 데이터 시각화\n",
        "plt.scatter(park_location[:, 1], park_location[:, 0], s=3, label='park')\n",
        "plt.scatter(market_location[:, 1], market_location[:, 0], s=3, label='market')\n",
        "plt.scatter(culture_location[:, 1], culture_location[:, 0], s=3, label='culture')\n",
        "plt.scatter(school_location[:, 1], school_location[:, 0], s=3, label='school')\n",
        "plt.scatter(busstop_location[:, 1], busstop_location[:, 0], s=3, label='busstop')\n",
        "plt.legend()\n",
        "plt.title('Original Locations')\n",
        "plt.show()\n",
        "\n",
        "# 군집화된 위치 데이터 시각화\n",
        "plt.scatter(total_weighted[:, 1], total_weighted[:, 0], s=3, label='total')\n",
        "plt.scatter(centers[:, 1], centers[:, 0], s=20, c='r', marker='x', label='centers')\n",
        "plt.legend()\n",
        "plt.title('Clustered Locations')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "570235f1",
      "metadata": {
        "id": "570235f1",
        "outputId": "2d8380f5-6fc8-4c92-ad1b-eaef7fdf312b"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "----- Configurations -----\n",
            "  Number of points 400\n",
            "  K 100\n",
            "  Radius 0.000450755\n",
            "  M 1000\n",
            "----- Output -----\n",
            "  Running time : 0.19198393821716309 seconds\n",
            "  Optimal coverage points: 53\n",
            "\n",
            "MCLP 결과 좌표\n",
            "37.53425985457823 126.8155379722532\n",
            "37.55442546447067 126.84375339757366\n",
            "37.53676800906762 126.85170541340285\n",
            "37.573169151754925 126.79229631032389\n",
            "37.5620531706046 126.81058821907101\n",
            "37.56629558031234 126.79923688662109\n",
            "37.571440333188846 126.79715827531315\n",
            "37.5665002145618 126.8392236686104\n",
            "37.558297967677454 126.79380746117293\n",
            "37.568358929295066 126.82321248271606\n",
            "37.53556963886797 126.83154197566522\n",
            "37.58266454228356 126.81657468036991\n",
            "37.53496617361822 126.8417854104054\n",
            "37.57610947600813 126.81948599597611\n",
            "37.57023868862471 126.81839802655914\n",
            "37.57722598351384 126.79168005537481\n",
            "37.54333259108039 126.80784743981931\n",
            "37.5501803542122 126.82160691236959\n",
            "37.542262825705286 126.83744594356028\n",
            "37.55552900832144 126.83527544466729\n",
            "37.556384499168544 126.83532916307857\n",
            "37.56472046794296 126.85328291607748\n",
            "37.53971388544574 126.79597145120077\n",
            "37.53444027997291 126.8186742380451\n",
            "37.5613044009215 126.85823364048376\n",
            "37.55421934196684 126.84810710385077\n",
            "37.55647088403739 126.82139255332427\n",
            "37.55914608158374 126.8276124498553\n",
            "37.561058312957854 126.81962835904518\n",
            "37.5698796980762 126.83047872813152\n",
            "37.55475636342093 126.86989416441126\n",
            "37.569491189141736 126.8050828427108\n",
            "37.54023713758205 126.82139878915191\n",
            "37.567488394817026 126.8185889571627\n",
            "37.53492848909451 126.82181477710682\n",
            "37.58217675662995 126.80842298420552\n",
            "37.553998656349535 126.83963189372434\n",
            "37.55979100282871 126.83128936551375\n",
            "37.553528749359955 126.81039057399197\n",
            "37.5679486382934 126.79413278587816\n",
            "37.55390118171926 126.77329894624913\n",
            "37.557798820353106 126.77258748982916\n",
            "37.57391298615986 126.80238425976067\n",
            "37.5440142553722 126.86764096490862\n",
            "37.53019839155051 126.84560410036345\n",
            "37.53624408031878 126.81458465006018\n",
            "37.5577224767405 126.86318515230246\n",
            "37.5728843908398 126.81313828937498\n",
            "37.56645437949192 126.80610210006658\n",
            "37.54118432934542 126.8290649175051\n",
            "37.55936615844663 126.83425387732133\n",
            "37.53553389545167 126.85857583809235\n",
            "37.57336432208118 126.79733869766903\n",
            "37.54655210692052 126.80552859080562\n",
            "37.57262515303711 126.81844294731063\n",
            "37.55290370526333 126.86559261981557\n",
            "37.56834657446491 126.81262686841326\n",
            "37.539736019733766 126.80006705840778\n",
            "37.556957491886365 126.83990159168354\n",
            "37.5374353623758 126.83054204243012\n",
            "37.56778665183092 126.84882928454147\n",
            "37.56645021947879 126.82490628488138\n",
            "37.55907331445572 126.852414470267\n",
            "37.56609946804076 126.83477766490667\n",
            "37.540593073024866 126.83553426985846\n",
            "37.58107375115032 126.81083308374089\n",
            "37.54834103379032 126.85227807771493\n",
            "37.557917977159526 126.86883031762179\n",
            "37.555447153839786 126.81157211905062\n",
            "37.58158634976294 126.81332072633205\n",
            "37.53287489120559 126.8595785912721\n",
            "37.56679113568055 126.80543162031891\n",
            "37.566439681739396 126.82605912582463\n",
            "37.53316396170783 126.8383689583161\n",
            "37.55776386607665 126.82167514023755\n",
            "37.55383765968381 126.83670942718659\n",
            "37.53448341829927 126.8607275570634\n",
            "37.58228291210356 126.81322459983896\n",
            "37.556548646484885 126.86400560957121\n",
            "37.5613761532256 126.84837890144175\n",
            "37.56792387241962 126.81923602335173\n",
            "37.576086700382064 126.81262933202642\n",
            "37.54959514189678 126.82445468997656\n",
            "37.53303521854603 126.85285701229908\n",
            "37.57010554025049 126.83876313863541\n",
            "37.54685815929734 126.82073090800141\n",
            "37.56943613851243 126.83502834834938\n",
            "37.567074819380444 126.82522735156319\n",
            "37.536079310007125 126.85433091722139\n",
            "37.56061815172729 126.84669507314781\n",
            "37.53084283802613 126.84819396053882\n",
            "37.55316568632913 126.8435764943471\n",
            "37.540459076206325 126.83566131024179\n",
            "37.57457910599759 126.83679202800967\n",
            "37.55758666282736 126.85438971941052\n",
            "37.56499825342636 126.84135254358011\n",
            "37.56714140199725 126.82524552759556\n",
            "37.53086151021712 126.8484731745426\n",
            "37.5701745314265 126.83928122107982\n",
            "37.5798317203293 126.82116442466828\n",
            "일치하지 않는 구간\n",
            "37.53425985457823 126.8155379722532\n",
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        {
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        {
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          "output_type": "stream",
          "text": [
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        {
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        {
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\n",
            "text/plain": [
              "<Figure size 576x576 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "points = centers\n",
        "\n",
        "K = 100\n",
        "radius = 0.00045075501464953804\n",
        "M = 1000\n",
        "\n",
        "opt_sites, f = mclp(points, K, radius, M)\n",
        "plot_result(points, opt_sites, radius)\n",
        "\n",
        "print(\"\\nMCLP 결과 좌표\")\n",
        "for opt_site in opt_sites:\n",
        "    print(opt_site[0], opt_site[1])"
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3 (ipykernel)",
      "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": "3.9.12"
    },
    "colab": {
      "provenance": []
    }
  },
  "nbformat": 4,
  "nbformat_minor": 5
}