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‎15.01. Ирландский парадокс.ipynb‎

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{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {
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"id": "view-in-github",
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"colab_type": "text"
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},
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"source": [
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"<a href=\"https://colab.research.google.com/github/NikolaiZolotykh/ScientificPython/blob/master/15.01.%20%D0%98%D1%80%D0%BB%D0%B0%D0%BD%D0%B4%D1%81%D0%BA%D0%B8%D0%B9%20%D0%BF%D0%B0%D1%80%D0%B0%D0%B4%D0%BE%D0%BA%D1%81.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"id": "mmcOipA2gZdW"
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},
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"source": [
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"# Ирландский парадокс"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"colab": {
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"base_uri": "https://localhost:8080/"
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},
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"id": "XfAL9A6XgZdY",
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"outputId": "3b9b2ea7-ab34-4242-c863-fc180672f8d5"
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},
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"outputs": [
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{
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"output_type": "stream",
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"name": "stdout",
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"text": [
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"Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
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"Collecting pulp\n",
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" Downloading PuLP-2.7.0-py3-none-any.whl (14.3 MB)\n",
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"\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m14.3/14.3 MB\u001b[0m \u001b[31m56.7 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
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"\u001b[?25hInstalling collected packages: pulp\n",
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"Successfully installed pulp-2.7.0\n"
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]
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}
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],
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"source": [
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"!pip install pulp\n",
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"import pulp"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "ZqVKSwXhgZdY"
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},
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"outputs": [],
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"source": [
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"prob = pulp.LpProblem(\"The_Irish_Paradox\", pulp.LpMaximize)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "bIC5XZ79gZdZ"
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},
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"outputs": [],
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"source": [
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"P = pulp.LpVariable(\"Potato\", 0, None)\n",
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"M = pulp.LpVariable(\"Meat\", 0, None)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"id": "rkMur28agZdZ"
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},
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"source": [
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"Ovjective function:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "moSEIQqmgZdZ"
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},
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"outputs": [],
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"source": [
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"prob += M "
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]
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},
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{
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"cell_type": "markdown",
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"source": [
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"Subject to:"
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],
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"metadata": {
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"id": "bhJrXOCcnWtF"
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}
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "oUSAwbs6gZdZ"
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},
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"outputs": [],
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"source": [
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"prob += 2*P + 5*M >= 20\n",
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"prob += P + 5*M <= 15"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "uBbD442YgZdZ"
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},
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"outputs": [],
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"source": []
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "fQt8W2VugZdZ",
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"outputId": "2212a355-39eb-4af5-a0bf-e2e6b5efcf7b"
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"[Meat, Potato]"
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]
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},
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"execution_count": 13,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# prob.writeLP(\"The_Irish_Paradox.lp\") # Можно сохранить"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "fAVHzAiDgZda",
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"outputId": "d815340a-b01a-4c7b-a8cc-ce7e31630636"
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"1"
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]
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},
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"execution_count": 14,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"prob.solve()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "KD8sJeYigZda",
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"outputId": "84b5f47a-ae08-499b-eaf7-8ff74945213f"
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Status: Optimal\n"
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]
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}
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],
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"source": [
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"print(\"Status:\", pulp.LpStatus[prob.status])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "hHmhDe17gZdb",
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"outputId": "30f9ccc7-4dde-461f-f37f-b156f7f1f381"
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Meat = 2.0\n",
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"Potato = 5.0\n"
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]
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}
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],
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"source": [
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"for v in prob.variables():\n",
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" print(v.name, \"=\", v.varValue)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "U4hCn3q5gZdb",
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"outputId": "712ad6ed-6ad5-495f-a7a2-7db6da0e83ff"
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Optimal value = 2.0\n"
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]
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}
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],
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"source": [
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"print(\"Optimal value = \", pulp.value(prob.objective))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"id": "96hBYM75gZdb"
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},
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"outputs": [],
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"source": []
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.8.3"
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},
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"colab": {
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"provenance": [],
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"include_colab_link": true
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}
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},
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"nbformat": 4,
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"nbformat_minor": 0
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}

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