航班数据的行程规划

SQL Server 中的分层与递归查询

Jasmin Ludolf

Content Developer

机场信息牌

机场示例航班信息牌

SQL Server 中的分层与递归查询

航班数据集的结构如何?

Departure Arrival FlightNumber Cost Time
London Paris LH3827 90 2
Vienna New York MH2370 379 8
New York Paris LH9832 489 9
Vienna Paris SU2389 200 3
London Chicago OP1230 650 10
New York Chicago NL5460 150 2
SQL Server 中的分层与递归查询

如何构建航线?

一幅关于全球所有可能航线的图

  • 使用递归获取"所有可能"的航线
  • 航线由"出发"机场和"目的地"机场定义
  • 限制经停次数以保证路线现实
SQL Server 中的分层与递归查询

构建航线 - 第 1 步

WITH flightRoute (Departure, Arrival, stops) AS(
  -- Anchor query
  SELECT f.Departure,f.Arrival, 0
      FROM flightPlan f
      WHERE Departure = 'Vienna'
  -- Recursive query
  UNION ALL
      SELECT p.Departure, f.Arrival, p.stops + 1
      FROM flightPlan f, flightRoute p
      WHERE p.Arrival = f.Departure AND 
        p.stops < 5 
)
SELECT Departure, Arrival, stops
    FROM flightRoute
+-----------+---------------+--------+
| Departure | Arrival       | stops  |
|-----------|---------------|--------|
| Vienna    | Paris         | 2      |
| Vienna    | San Francisco | 3      |
| Vienna    | Vienna        | 3      |
| Vienna    | Frankfurt     | 3      |
| ...       | ...           | ...    |
+-----------+---------------+--------+
SQL Server 中的分层与递归查询

构建航线 - 第 2 步

WITH flightRoute (Departure, Arrival, stops, route) AS(
  SELECT f.Departure, f.Arrival, 0, 
  CAST(Departure + '->' + Arrival AS VARCHAR(MAX))
      FROM flightPlan f
      WHERE Departure = 'Vienna'

UNION ALL SELECT p.Departure, f.Arrival, p.stops + 1, p.totalCost + f.Cost, CAST(p.route + '->' + f.Arrival AS VARCHAR(MAX)) FROM flightPlan f, flightRoute p
WHERE p.Arrival = f.Departure AND p.stops < 5 )
  • 在锚成员中引入 route

  • 在递归成员中跟踪 route

  • 限制经停次数

SQL Server 中的分层与递归查询

构建航线 - 结果

SELECT Departure, Arrival, Route
    FROM flightRoute
+-----------+--------------+-------------------------------------------+
| Departure | Arrival      | route                                     |
|-----------|--------------|-------------------------------------------+
| London    | New York     | London -> Vienna -> Chicago -> New York   |
| Vienna    | Chicago      | Vienna -> London -> Chicago               |        
| Paris     | Los Angeles  | Paris -> Toronto -> Los Angeles           |
| Chicago   | New York     | Chicago -> New York                       |
| Rome      | New York     | Rome -> London -> Chicago -> New York     |    
| ...       | ...          | ...                                       |
+-----------+--------------+-------------------------------------------+
SQL Server 中的分层与递归查询

带限制条件查询可能航线

WITH flightRoute (Departure, Arrival, stops, totalCost, route) AS(
  SELECT f.Departure, f.Arrival, 0, Cost,
    CAST(Departure + '->' + Arrival AS NVARCHAR(MAX))
      FROM flightPlan f
      WHERE Departure = 'New York'
  UNION ALL
  SELECT  p.Departure, f.Arrival, p.stops+1, 
  p.totalCost + f.Cost, p.route + '->' + f.Arrival
      FROM flightPlan f, flightRoute p
      WHERE p.Arrival = f.Departure AND p.stops < '...' 
)
SELECT '...'    
    FROM flightRoute
    WHERE '...' ;

查找所有可能的目的地机场,满足:

  • 固定始发机场
    • New York
  • stops 限制为 n
  • 输出受条件限制
    • 成本上限
    • 到某目的地的最低成本路线
SQL Server 中的分层与递归查询

让我们寻找可能的航线!

SQL Server 中的分层与递归查询

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