{ "cells": [ { "cell_type": "markdown", "id": "df5a45f6", "metadata": {}, "source": [ "# Alocação de Frotas (Fleet Scheduling) - Aeronaves C-97\n", "\n", "Este projeto visa realizar a alocação de frota (Fleet Assignment) baseada nos princípios do livro referenciado *Airline Operations and Scheduling*.\n", "Diferentemente do modelo anterior que utilizava aeronaves de carga, este foca exclusivamente na aeronave de passageiros **C-97**.\n", "\n", "## Objetivos:\n", "1. Remover cálculos de aeronaves de carga.\n", "2. Analisar as demandas diárias para a aeronave C-97.\n", "3. Identificar os esquadrões detentores dessas aeronaves e a quantidade de aeronaves (matrículas únicas).\n", "4. Calcular os 5 trechos mais relevantes do ano de 2025 utilizando estatística e gráficos.\n", "5. Realizar o Fleet Assignment para os 5 trechos, visando minimizar o custo total da operação (Modelo 1 proposto).\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "58aeb561", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T23:25:47.665783Z", "iopub.status.busy": "2026-06-07T23:25:47.665625Z", "iopub.status.idle": "2026-06-07T23:25:48.273737Z", "shell.execute_reply": "2026-06-07T23:25:48.273140Z" } }, "outputs": [], "source": [ "# Importação de bibliotecas\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pulp\n", "import pymap3d as pm\n", "import math\n", "import networkx as nx\n", "\n", "# Configuração de estilo para os gráficos\n", "sns.set_theme(style=\"whitegrid\")\n", "\n", "# Constantes globais\n", "CSV_FILEPATH = \"SISCO_AEREA_01-01-2025_A_31-12-2025_1911251714Z.csv\"\n", "JSON_AEROPORTOS = \"airports.json\"\n", "CAPACIDADE_C97 = 30 # Capacidade média de passageiros do C-97 (Brasília)\n" ] }, { "cell_type": "markdown", "id": "936c8bb7", "metadata": {}, "source": [ "## 1. Leitura e Limpeza dos Dados\n", "Vamos carregar os dados, filtrar apenas para o modelo `C-97` e tratar os campos de localidades e datas.\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "b61078e4", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T23:25:48.275586Z", "iopub.status.busy": "2026-06-07T23:25:48.275378Z", "iopub.status.idle": "2026-06-07T23:25:48.654221Z", "shell.execute_reply": "2026-06-07T23:25:48.653363Z" } }, "outputs": [], "source": [ "# Carregamento do banco de dados\n", "df = pd.read_csv(CSV_FILEPATH, low_memory=False)\n", "df_aeroportos = pd.read_json(JSON_AEROPORTOS, orient='index')\n", "\n", "# Tratamento básico de valores nulos expressos como 'NIL'\n", "df.replace('NIL', 0, inplace=True)\n", "\n", "# Filtro para a aeronave C-97 (Passageiros) e remoção de registros de carga\n", "df_c97 = df[df['Modelo'] == 'C-97'].copy()\n", "\n", "# Filtrando decolagens e pousos conhecidos\n", "df_c97 = df_c97[df_c97['Localidade Decolagem'] != 0]\n", "df_c97 = df_c97[df_c97['Localidade Pouso'] != 0]\n", "\n", "# Criação da coluna Trecho\n", "df_c97['Trecho'] = df_c97['Localidade Decolagem'] + '-' + df_c97['Localidade Pouso']\n", "\n", "# Conversão da coluna PAX para numérico\n", "df_c97['PAX'] = pd.to_numeric(df_c97['PAX']).fillna(0)\n", "\n", "# Tratamento de datas\n", "df_c97['Dep TimeStamp'] = pd.to_datetime(df_c97['Data de Decolagem'] + ' ' + df_c97['Hora de Decolagem'], format='mixed', dayfirst=True)\n", "df_c97['Data Apenas'] = df_c97['Dep TimeStamp'].dt.date\n" ] }, { "cell_type": "markdown", "id": "f206cb40", "metadata": {}, "source": [ "## 2. Análise dos Esquadrões e Matrículas (Aeronaves)\n", "Identificaremos quais esquadrões operam o C-97 e qual a disponibilidade de aeronaves (número de matrículas únicas), pois isso definirá as restrições de frota.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "d682a86e", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T23:25:48.655903Z", "iopub.status.busy": "2026-06-07T23:25:48.655711Z", "iopub.status.idle": "2026-06-07T23:25:48.667640Z", "shell.execute_reply": "2026-06-07T23:25:48.666985Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Esquadrões que operam o C-97: ETA1, ETA3, ETA5, ETA6, ETA7, ETA2, PAMA SP\n", "Total de matrículas únicas (aeronaves disponíveis): 14\n", "\n", "Aeronaves por esquadrão:\n", " - ETA1: 1 aeronaves\n", " - ETA2: 1 aeronaves\n", " - ETA3: 3 aeronaves\n", " - ETA5: 1 aeronaves\n", " - ETA6: 4 aeronaves\n", " - ETA7: 3 aeronaves\n", " - PAMA SP: 1 aeronaves\n", "\n", "Bases inferidas por esquadrão (pela moda de decolagens):\n", " - ETA1: SBBE\n", " - ETA2: SBNT\n", " - ETA3: SBGL\n", " - ETA5: SBCO\n", " - ETA6: SBBR\n", " - ETA7: SBMN\n", " - PAMA SP: SBGR\n" ] } ], "source": [ "# Obtendo esquadrões e matrículas únicas\n", "esquadroes = df_c97['Emissor'].unique()\n", "matriculas_unicas = df_c97['Matrícula'].unique()\n", "total_aeronaves = len(matriculas_unicas)\n", "\n", "print(f\"Esquadrões que operam o C-97: {', '.join(esquadroes)}\")\n", "print(f\"Total de matrículas únicas (aeronaves disponíveis): {total_aeronaves}\")\n", "\n", "# Aeronaves por esquadrão\n", "aeronaves_por_esquadrao = df_c97.groupby('Emissor')['Matrícula'].nunique().to_dict()\n", "print(\"\\nAeronaves por esquadrão:\")\n", "for esq, qtd in aeronaves_por_esquadrao.items():\n", " print(f\" - {esq}: {qtd} aeronaves\")\n", " \n", "# Identificar a base principal de cada esquadrão (aeroporto com mais decolagens)\n", "bases_esquadroes = {}\n", "for esq in aeronaves_por_esquadrao.keys():\n", " base = df_c97[df_c97['Emissor'] == esq]['Localidade Decolagem'].mode()[0]\n", " bases_esquadroes[esq] = base\n", "\n", "print(\"\\nBases inferidas por esquadrão (pela moda de decolagens):\")\n", "for esq, base in bases_esquadroes.items():\n", " print(f\" - {esq}: {base}\")\n" ] }, { "cell_type": "markdown", "id": "06c21750", "metadata": {}, "source": [ "## 3. Análise Estatística das Demandas Diárias\n", "Para definir os trechos mais relevantes do ano, calcularemos a demanda de passageiros (PAX) agregada diariamente. Em seguida, extraímos a **média de passageiros diários** e o **desvio padrão** para cada trecho. A relevância será determinada pela maior média de demanda diária de PAX.\n", "Começaremos focando em 5 trechos (alvo variável).\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "f0802558", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T23:25:48.669019Z", "iopub.status.busy": "2026-06-07T23:25:48.668895Z", "iopub.status.idle": "2026-06-07T23:25:48.964755Z", "shell.execute_reply": "2026-06-07T23:25:48.964142Z" } }, "outputs": [ { "data": { "text/html": [ "
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TrechoMedia_PAX_DiarioDesvio_Padrao_PAXTotal_PAXDias_OperadosMedia_PAX_Dias_OperadosScore_Relevancia
223SBGL-SBBR0.9808224.097998358.0389.42105313604.0
69SBBR-SBGL0.7945213.483710290.0348.5294129860.0
72SBBR-SBGR0.4876712.420831178.0218.4761903738.0
272SBGR-SBBR0.4767122.481277174.0218.2857143654.0
237SBGL-SBGR0.4602742.575601168.0198.8421053192.0
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" ], "text/plain": [ " Trecho Media_PAX_Diario Desvio_Padrao_PAX Total_PAX Dias_Operados \\\n", "223 SBGL-SBBR 0.980822 4.097998 358.0 38 \n", "69 SBBR-SBGL 0.794521 3.483710 290.0 34 \n", "72 SBBR-SBGR 0.487671 2.420831 178.0 21 \n", "272 SBGR-SBBR 0.476712 2.481277 174.0 21 \n", "237 SBGL-SBGR 0.460274 2.575601 168.0 19 \n", "\n", " Media_PAX_Dias_Operados Score_Relevancia \n", "223 9.421053 13604.0 \n", "69 8.529412 9860.0 \n", "72 8.476190 3738.0 \n", "272 8.285714 3654.0 \n", "237 8.842105 3192.0 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Demanda diária por trecho\n", "demanda_diaria = df_c97.groupby(['Trecho', 'Data Apenas'])['PAX'].sum().reset_index()\n", "\n", "# Criar um range de datas para todo o ano de 2025 para contabilizar os dias sem voo\n", "import itertools\n", "datas_2025 = pd.date_range(start='2025-01-01', end='2025-12-31').date\n", "todos_trechos = demanda_diaria['Trecho'].unique()\n", "idx = pd.MultiIndex.from_product([todos_trechos, datas_2025], names=['Trecho', 'Data Apenas'])\n", "demanda_diaria_completa = pd.DataFrame(index=idx).reset_index()\n", "\n", "# Mesclar com os dados reais e preencher NaN com 0\n", "demanda_diaria_completa = pd.merge(demanda_diaria_completa, demanda_diaria, on=['Trecho', 'Data Apenas'], how='left').fillna({'PAX': 0})\n", "\n", "# Estatísticas (Média e Desvio Padrão) por trecho\n", "estatisticas_trechos = demanda_diaria_completa.groupby('Trecho').agg(\n", " Media_PAX_Diario=('PAX', 'mean'),\n", " Desvio_Padrao_PAX=('PAX', 'std'),\n", " Total_PAX=('PAX', 'sum'),\n", " Dias_Operados=('PAX', lambda x: (x > 0).sum())\n", ").reset_index()\n", "\n", "# Média PAX por dias operados (usado para o Fleet Assignment Model)\n", "estatisticas_trechos['Media_PAX_Dias_Operados'] = estatisticas_trechos.apply(\n", " lambda row: row['Total_PAX'] / row['Dias_Operados'] if row['Dias_Operados'] > 0 else 0, axis=1\n", ")\n", "\n", "# Nova métrica solicitada: PAX * Dias_Operados\n", "estatisticas_trechos['Score_Relevancia'] = estatisticas_trechos['Total_PAX'] * estatisticas_trechos['Dias_Operados']\n", "\n", "# Ordenar pelas rotas com maior métrica (PAX * Dias_Operados)\n", "estatisticas_trechos = estatisticas_trechos.sort_values(by='Score_Relevancia', ascending=False)\n", "\n", "# Definir número de trechos alvo\n", "NUM_TRECHOS = 5\n", "top_trechos = estatisticas_trechos.head(NUM_TRECHOS)\n", "\n", "display(top_trechos)\n", "\n", "# Gráfico\n", "plt.figure(figsize=(10, 6))\n", "sns.barplot(data=top_trechos, x='Trecho', y='Score_Relevancia', hue='Trecho', palette='viridis', legend=False)\n", "plt.title(f'Top {NUM_TRECHOS} Trechos Mais Relevantes (PAX * Dias Operados)')\n", "plt.ylabel('Score de Relevância (PAX * Dias Operados)')\n", "plt.xlabel('Trecho (Origem - Destino)')\n", "plt.xticks(rotation=45)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "9797e33b", "metadata": {}, "source": [ "## Diagrama de Rede dos Trechos\n", "Para melhor visualização dos trechos mais relevantes, abaixo temos um diagrama de rede conectando as origens aos destinos.\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "9a44a960", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T23:25:48.966228Z", "iopub.status.busy": "2026-06-07T23:25:48.966095Z", "iopub.status.idle": "2026-06-07T23:25:49.056039Z", "shell.execute_reply": "2026-06-07T23:25:49.055223Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Criação do grafo direcionado\n", "G = nx.DiGraph()\n", "\n", "# Adiciona arestas com peso baseado no Score de Relevância\n", "for _, row in top_trechos.iterrows():\n", " origem, destino = row['Trecho'].split('-')\n", " peso = row['Score_Relevancia']\n", " G.add_edge(origem, destino, weight=peso)\n", "\n", "# Configuração do layout do grafo\n", "pos = nx.spring_layout(G, seed=42)\n", "\n", "plt.figure(figsize=(8, 6))\n", "# Define o tamanho do nó\n", "tamanho_no = 1500\n", "\n", "# Desenha os nós\n", "nx.draw_networkx_nodes(G, pos, node_size=tamanho_no, node_color='skyblue', edgecolors='black')\n", "# Desenha as arestas, informando o node_size para que a seta não fique escondida sob o nó\n", "nx.draw_networkx_edges(\n", " G, pos, \n", " edgelist=G.edges(), \n", " arrows=True, \n", " arrowstyle='-|>', \n", " arrowsize=25, \n", " edge_color='gray', \n", " width=2, \n", " node_size=tamanho_no, \n", " connectionstyle='arc3,rad=0.15'\n", ")\n", "# Desenha os rótulos (nomes dos aeroportos)\n", "nx.draw_networkx_labels(G, pos, font_size=12, font_family='sans-serif', font_weight='bold')\n", "\n", "plt.title('Diagrama de Rede - Top Trechos Relevantes', fontsize=14)\n", "plt.axis('off')\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "1f2831aa", "metadata": {}, "source": [ "## 4. Fleet Assignment Model (FAM)\n", "Conforme o livro base *Airline Operations and Scheduling*, o problema de alocação de frotas busca atribuir os tipos de aeronaves às pernas de voo visando minimizar o custo e as perdas de receita (spill). Como temos apenas um tipo (C-97), nosso problema adapta-se a uma **alocação de esquadrões (e suas respectivas bases)** aos voos requeridos para minimizar o custo total de operação, que é proporcional à distância voada.\n", "\n", "**Modelo Matemático:**\n", "- **Variáveis de decisão:** $X_{s, r}$ (Quantidade de voos operados pelo esquadrão $s$ no trecho $r$)\n", "- **Função Objetivo:** Minimizar a distância total (Distância de posicionamento da base + Distância do trecho + Retorno para a base).\n", "- **Restrições:**\n", " 1. O número de voos alocados para o trecho deve suprir a demanda média (Média PAX / Capacidade do C-97).\n", " 2. O total de voos atribuídos a um esquadrão não pode exceder o número de aeronaves disponíveis naquele esquadrão no dia.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "64a99d0d", "metadata": { "execution": { "iopub.execute_input": "2026-06-07T23:25:49.058344Z", "iopub.status.busy": "2026-06-07T23:25:49.058189Z", "iopub.status.idle": "2026-06-07T23:25:49.117064Z", "shell.execute_reply": "2026-06-07T23:25:49.116212Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "== RESULTADO DO FLEET ASSIGNMENT ==\n", "Status: Optimal\n", "Distância Total Minimizada: 7722.27 km\n", "\n", "Alocações (Voos Diários):\n", "\n", "Trecho: SBGL-SBBR (Voos necessários: 1)\n", " -> ETA3 (Base SBGL): 1 voo(s)\n", "\n", "Trecho: SBBR-SBGL (Voos necessários: 1)\n", " -> ETA3 (Base SBGL): 1 voo(s)\n", "\n", "Trecho: SBBR-SBGR (Voos necessários: 1)\n", " -> ETA6 (Base SBBR): 1 voo(s)\n", "\n", "Trecho: SBGR-SBBR (Voos necessários: 1)\n", " -> ETA6 (Base SBBR): 1 voo(s)\n", "\n", "Trecho: SBGL-SBGR (Voos necessários: 1)\n", " -> ETA3 (Base SBGL): 1 voo(s)\n" ] } ], "source": [ "# Preparação dos dados para o modelo\n", "rotas_lista = top_trechos['Trecho'].tolist()\n", "\n", "# Dicionário de distâncias\n", "def calc_distancia(icao1, icao2):\n", " try:\n", " lat1, lon1, alt1 = df_aeroportos.loc[icao1, ['lat', 'lon', 'elevation']]\n", " lat2, lon2, alt2 = df_aeroportos.loc[icao2, ['lat', 'lon', 'elevation']]\n", " # Retorna a distância oblíqua em km\n", " return pm.geodetic2aer(lat1, lon1, alt1, lat2, lon2, alt2)[2] / 1000.0\n", " except KeyError:\n", " return 9999.0 # Penalidade caso aeroporto não exista no json\n", "\n", "distancias_voo = {}\n", "for r in rotas_lista:\n", " origem, destino = r.split('-')\n", " dist_trecho = calc_distancia(origem, destino)\n", " for esq, base in bases_esquadroes.items():\n", " dist_ida = calc_distancia(base, origem) if base != origem else 0\n", " dist_volta = calc_distancia(destino, base) if base != destino else 0\n", " distancias_voo[(esq, r)] = dist_ida + dist_trecho + dist_volta\n", "\n", "# Demanda de voos por rota (Média diária)\n", "voos_requeridos = {}\n", "for _, row in top_trechos.iterrows():\n", " # Arredondamento para cima da (demanda / capacidade)\n", " voos = math.ceil(row['Media_PAX_Dias_Operados'] / CAPACIDADE_C97)\n", " # Pelo menos 1 voo para suprir a demanda da rota selecionada\n", " voos_requeridos[row['Trecho']] = max(1, voos)\n", "\n", "# MODELAGEM COM PULP\n", "prob = pulp.LpProblem(\"Fleet_Assignment_C97\", pulp.LpMinimize)\n", "\n", "# Variáveis\n", "X = pulp.LpVariable.dicts(\"X\", [(esq, r) for esq in aeronaves_por_esquadrao.keys() for r in rotas_lista], lowBound=0, cat='Integer')\n", "\n", "# Função Objetivo\n", "prob += pulp.lpSum([distancias_voo[(esq, r)] * X[(esq, r)] for esq in aeronaves_por_esquadrao.keys() for r in rotas_lista])\n", "\n", "# Restrição 1: Suprir a demanda da rota\n", "for r in rotas_lista:\n", " prob += pulp.lpSum([X[(esq, r)] for esq in aeronaves_por_esquadrao.keys()]) >= voos_requeridos[r]\n", "\n", "# Restrição 2: Limite de aeronaves por esquadrão\n", "for esq in aeronaves_por_esquadrao.keys():\n", " prob += pulp.lpSum([X[(esq, r)] for r in rotas_lista]) <= aeronaves_por_esquadrao[esq]\n", "\n", "# Solução\n", "prob.solve(pulp.PULP_CBC_CMD(msg=False))\n", "\n", "# Exibição dos resultados\n", "print(\"== RESULTADO DO FLEET ASSIGNMENT ==\")\n", "print(f\"Status: {pulp.LpStatus[prob.status]}\")\n", "print(f\"Distância Total Minimizada: {pulp.value(prob.objective):.2f} km\\n\")\n", "\n", "print(\"Alocações (Voos Diários):\")\n", "for r in rotas_lista:\n", " print(f\"\\nTrecho: {r} (Voos necessários: {voos_requeridos[r]})\")\n", " for esq in aeronaves_por_esquadrao.keys():\n", " qtd = int(X[(esq, r)].varValue)\n", " if qtd > 0:\n", " print(f\" -> {esq} (Base {bases_esquadroes[esq]}): {qtd} voo(s)\")\n" ] } ], "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }