智能分单算法

算法描述

目前在物流,企业用工等领域,都有着大量的通过算法对接到的订单进行智能分配的需求。本文模拟的是用户下订单,然后商家接到订单,由配送人员进行派送的场景。在实际的应用中类似于百度外卖等有着非常多的实际应用。这种问题因为算法的复杂度太高,很难在短的时间周期内求解成功,所以有了像遗传算法,退火算法等启发式算法,以便在短的时间内能够求出近似的最优解。

本文模拟8个骑士,40个订单和40个商家进行计算。

算法描述

目前在物流,企业用工等领域,都有着大量的通过算法对接到的订单进行智能分配的需求。首先设计bean,商家接到订单的bean,这里需要商家和订单的坐标信息。

public class BusinessmenAndOrder {
	
	private String id;//job标号
	private String businessX;//商家坐标x
	private String businessy;//商家坐标y
	private String orderx;//订单坐标x
	private String ordery;//订单坐标y
	
	public BusinessmenAndOrder(){
		
	}
	
	public BusinessmenAndOrder(String id,String businessX,String businessy,String orderx,String ordery){
		this.id=id;
		this.businessX=businessX;
		this.businessy=businessy;
		this.orderx=orderx;
		this.ordery=ordery;
	}
	
	public String getId() {
		return id;
	}
	public void setId(String id) {
		this.id = id;
	}
	public String getBusinessX() {
		return businessX;
	}
	public void setBusinessX(String businessX) {
		this.businessX = businessX;
	}
	public String getBusinessy() {
		return businessy;
	}
	public void setBusinessy(String businessy) {
		this.businessy = businessy;
	}
	public String getOrderx() {
		return orderx;
	}
	public void setOrderx(String orderx) {
		this.orderx = orderx;
	}
	public String getOrdery() {
		return ordery;
	}
	public void setOrdery(String ordery) {
		this.ordery = ordery;
	}

}

模拟40个商家接到40个订单,其中商家和订单都可以是同一坐标位置,后续会考虑将坐标相近的位置进行聚类计算。

// 得到取件坐标和送达坐标(相当于商家和订单)
	List<BusinessmenAndOrder> baoList = new ArrayList<BusinessmenAndOrder>();
	BusinessmenAndOrder bao1 = new BusinessmenAndOrder("商家订单1", "137.45", "554.19", "138.83", "557.56");
	BusinessmenAndOrder bao2 = new BusinessmenAndOrder("商家订单2", "840.6", "532.46", "139.37", "558.54");
	BusinessmenAndOrder bao3 = new BusinessmenAndOrder("商家订单3", "157.38", "573.96", "359.96", "794.99");
	BusinessmenAndOrder bao4 = new BusinessmenAndOrder("商家订单4", "120.45", "604.18", "193.49", "571.18");
	BusinessmenAndOrder bao5 = new BusinessmenAndOrder("商家订单5", "137.50", "564.16", "357.33", "784.03");
	BusinessmenAndOrder bao6 = new BusinessmenAndOrder("商家订单6", "131.90", "570.68", "118.60", "597.49");
	BusinessmenAndOrder bao7 = new BusinessmenAndOrder("商家订单7", "150.21", "557.68", "140.98", "573.79");
	BusinessmenAndOrder bao8 = new BusinessmenAndOrder("商家订单8", "115.13", "585.43", "115.01", "596.83");
	BusinessmenAndOrder bao9 = new BusinessmenAndOrder("商家订单9", "120.13", "641.55", "141.20", "593.01");
	BusinessmenAndOrder bao10 = new BusinessmenAndOrder("商家订单10", "150.06", "575.78", "355.11", "784.26");
	BusinessmenAndOrder bao11 = new BusinessmenAndOrder("商家订单11", "114.50", "588.19", "119.16", "583.38");
	BusinessmenAndOrder bao12 = new BusinessmenAndOrder("商家订单12", "137.28", "563.04", "355.24", "790.13");
	BusinessmenAndOrder bao13 = new BusinessmenAndOrder("商家订单13", "151.04", "609.23", "179.37", "570.66");
	BusinessmenAndOrder bao14 = new BusinessmenAndOrder("商家订单14", "113.73", "583.88", "139.83", "538.04");
	BusinessmenAndOrder bao15 = new BusinessmenAndOrder("商家订单15", "185.75", "551.86", "187.18", "543.81");
	BusinessmenAndOrder bao16 = new BusinessmenAndOrder("商家订单16", "116.39", "500.71", "173.63", "583.75");
	BusinessmenAndOrder bao17 = new BusinessmenAndOrder("商家订单17", "112.73", "534.10", "108.60", "604.41");
	BusinessmenAndOrder bao18 = new BusinessmenAndOrder("商家订单18", "137.66", "590.41", "139.63", "577.69");
	BusinessmenAndOrder bao19 = new BusinessmenAndOrder("商家订单19", "161.38", "558.01", "161.83", "560.24");
	BusinessmenAndOrder bao20 = new BusinessmenAndOrder("商家订单20", "137.28", "561.46", "143.01", "616.94");
	BusinessmenAndOrder bao21 = new BusinessmenAndOrder("商家订单21", "128.48", "570.59", "135.86", "597.34");
	BusinessmenAndOrder bao22 = new BusinessmenAndOrder("商家订单22", "136.45", "564.88", "139.55", "558.59");
	BusinessmenAndOrder bao23 = new BusinessmenAndOrder("商家订单23", "128.96", "568.38", "139.37", "559.08");
	BusinessmenAndOrder bao24 = new BusinessmenAndOrder("商家订单24", "133.41", "581.50", "357.09", "789.24");
	BusinessmenAndOrder bao25 = new BusinessmenAndOrder("商家订单25", "134.83", "573.03", "136.14", "578.20");
	BusinessmenAndOrder bao26 = new BusinessmenAndOrder("商家订单26", "146.76", "516.91", "165.01", "483.61");
	BusinessmenAndOrder bao27 = new BusinessmenAndOrder("商家订单27", "127.41", "634.78", "152.30", "598.38");
	BusinessmenAndOrder bao28 = new BusinessmenAndOrder("商家订单28", "137.48", "549.33", "141.20", "561.10");
	BusinessmenAndOrder bao29 = new BusinessmenAndOrder("商家订单29", "178.75", "595.65", "204.53", "619.03");
	BusinessmenAndOrder bao30 = new BusinessmenAndOrder("商家订单30", "97.72", "564.24", "640.4", "556.01");
	BusinessmenAndOrder bao31 = new BusinessmenAndOrder("商家订单31", "628.48", "260.59", "125.86", "497.34");
	BusinessmenAndOrder bao32 = new BusinessmenAndOrder("商家订单32", "336.45", "364.88", "439.55", "458.59");
	BusinessmenAndOrder bao33 = new BusinessmenAndOrder("商家订单33", "228.96", "268.38", "239.37", "559.08");
	BusinessmenAndOrder bao34 = new BusinessmenAndOrder("商家订单34", "153.41", "291.50", "257.09", "489.24");
	BusinessmenAndOrder bao35 = new BusinessmenAndOrder("商家订单35", "136.83", "363.03", "276.14", "168.20");
	BusinessmenAndOrder bao36 = new BusinessmenAndOrder("商家订单36", "446.76", "216.91", "465.01", "283.61");
	BusinessmenAndOrder bao37 = new BusinessmenAndOrder("商家订单37", "527.41", "674.78", "158.30", "528.38");
	BusinessmenAndOrder bao38 = new BusinessmenAndOrder("商家订单38", "637.48", "549.33", "191.20", "591.10");
	BusinessmenAndOrder bao39 = new BusinessmenAndOrder("商家订单39", "637.48", "549.33", "291.20", "491.10");
	BusinessmenAndOrder bao40 = new BusinessmenAndOrder("商家订单40", "637.48", "549.33", "691.20", "291.10");

然后将商家和订单加入到集合中。

baoList.add(bao1); baoList.add(bao2); baoList.add(bao3); baoList.add(bao4); baoList.add(bao5); baoList.add(bao6); baoList.add(bao7); baoList.add(bao8); baoList.add(bao9); baoList.add(bao10); baoList.add(bao11); baoList.add(bao12); baoList.add(bao13); baoList.add(bao14); baoList.add(bao15); baoList.add(bao16); baoList.add(bao17); baoList.add(bao18); baoList.add(bao19); baoList.add(bao20); baoList.add(bao21); baoList.add(bao22); baoList.add(bao23); baoList.add(bao24); baoList.add(bao25); baoList.add(bao26); baoList.add(bao27); baoList.add(bao28); baoList.add(bao29); baoList.add(bao30); baoList.add(bao31); baoList.add(bao32); baoList.add(bao33); baoList.add(bao34); baoList.add(bao35); baoList.add(bao36); baoList.add(bao37); baoList.add(bao38); baoList.add(bao39); baoList.add(bao40);

然后将商家和订单加入到集合中。

接着模拟骑士,假设骑士位置散落在不同的坐标点。

public class Driver {
	private String driverId;//骑士编号
	private String driverx;//骑士坐标x
	private String drivery;//骑士坐标y
	public Driver(){
		
	}
	public Driver(String driverId,String driverx,String drivery){
		this.driverId=driverId;
		this.driverx=driverx;
		this.drivery=drivery;
	}
	public String getDriverId() {
		return driverId;
	}
	public void setDriverId(String driverId) {
		this.driverId = driverId;
	}
	public String getDriverx() {
		return driverx;
	}
	public void setDriverx(String driverx) {
		this.driverx = driverx;
	}
	public String getDrivery() {
		return drivery;
	}
	public void setDrivery(String drivery) {
		this.drivery = drivery;
	}
}

模拟8个骑士

// 模拟骑士
		List<Driver> driveList = new ArrayList<Driver>();
		Driver driver1 = new Driver("driveA", "137.50", "575.78");
		Driver driver2 = new Driver("driveB", "151.04", "534.10");
		Driver driver3 = new Driver("driveC", "137.28", "558.01");
		Driver driver4 = new Driver("driveD", "127.41", "634.78");
		Driver driver5 = new Driver("driveE", "46.76", "285.75");
		Driver driver6 = new Driver("driveF", "176.76", "485.75");
		Driver driver7 = new Driver("driveG", "386.76", "405.75");
		Driver driver8 = new Driver("driveH", "246.76", "685.75");

		driveList.add(driver1);
		driveList.add(driver2);
		driveList.add(driver3);
		driveList.add(driver4);
		driveList.add(driver5);
		driveList.add(driver6);
		driveList.add(driver7);
		driveList.add(driver8);

将模拟数据代入算法

List<DistributionSep> distList = new ArrayList<DistributionSep>();
		distList = autoSeperateOrder(baoList, driveList);
		for (DistributionSep distribution : distList) {
			System.out.println("配送人员 "+distribution.getDriverName());
			List<OrderSort> orderSet = distribution.getDist();
			for (OrderSort order : orderSet) {
				System.out.println(order.getOrder() + " " + order.getPors() + " " + order.getBussinessOrder()); 
			}
		}

结果查看

查看运行结果,可知,迭代了1024次,耗时10秒。

2017-06-30 14:49:38,888 INFO  [main] problem.VehicleRoutingProblem - setup problem: [fleetSize=FINITE][#jobs=40][#vehicles=8][#vehicleTypes=1][transportCost=[name=crowFlyCosts]][activityCosts=com.graphhopper.jsprit.core.problem.cost.WaitingTimeCosts@47d90b9e]
2017-06-30 14:49:38,970 INFO  [main] algorithm.VehicleRoutingAlgorithm - algorithm starts: [maxIterations=2000]
2017-06-30 14:49:38,972 INFO  [main] algorithm.InsertionInitialSolutionFactory - create initial solution
2017-06-30 14:49:39,823 INFO  [main] algorithm.VehicleRoutingAlgorithm - iterations start
2017-06-30 14:49:39,825 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 1
2017-06-30 14:49:39,843 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 2
2017-06-30 14:49:39,910 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 4
2017-06-30 14:49:40,032 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 8
2017-06-30 14:49:40,142 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 16
2017-06-30 14:49:41,014 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 32
2017-06-30 14:49:41,194 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 64
2017-06-30 14:49:41,728 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 128
2017-06-30 14:49:42,439 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 256
2017-06-30 14:49:43,599 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 512
2017-06-30 14:49:45,723 INFO  [main] algorithm.VehicleRoutingAlgorithm$Counter - iterations 1024
2017-06-30 14:49:49,703 INFO  [main] algorithm.VehicleRoutingAlgorithm - iterations end at 2000 iterations
2017-06-30 14:49:49,703 INFO  [main] algorithm.VehicleRoutingAlgorithm - took 10.732 seconds

分配的结果及cost计算结果为:

+--------------------------------------------------------------------------------------------------------------------------------+
| detailed solution                                                                                                              |
+---------+----------------------+-----------------------+-----------------+-----------------+-----------------+-----------------+
| route   | vehicle              | activity              | job             | arrTime         | endTime         | costs           |
+---------+----------------------+-----------------------+-----------------+-----------------+-----------------+-----------------+
| 1       | driveA               | start                 | -               | undef           | 0               | 0               |
| 1       | driveA               | pickupShipment        | 商家订单25          | 4               | 4               | 4               |
| 1       | driveA               | deliverShipment       | 商家订单25          | 9               | 9               | 9               |
| 1       | driveA               | pickupShipment        | 商家订单21          | 20              | 20              | 20              |
| 1       | driveA               | pickupShipment        | 商家订单23          | 22              | 22              | 22              |
| 1       | driveA               | pickupShipment        | 商家订单22          | 30              | 30              | 30              |
| 1       | driveA               | pickupShipment        | 商家订单20          | 34              | 34              | 34              |
| 1       | driveA               | deliverShipment       | 商家订单22          | 38              | 38              | 38              |
| 1       | driveA               | deliverShipment       | 商家订单23          | 38              | 38              | 38              |
| 1       | driveA               | pickupShipment        | 商家订单18          | 70              | 70              | 70              |
| 1       | driveA               | deliverShipment       | 商家订单18          | 82              | 82              | 82              |
| 1       | driveA               | deliverShipment       | 商家订单21          | 102             | 102             | 102             |
| 1       | driveA               | deliverShipment       | 商家订单20          | 123             | 123             | 123             |
| 1       | driveA               | end                   | -               | 123             | undef           | 123             |
+---------+----------------------+-----------------------+-----------------+-----------------+-----------------+-----------------+
| 2       | driveB               | start                 | -               | undef           | 0               | 0               |
| 2       | driveB               | pickupShipment        | 商家订单7           | 24              | 24              | 24              |
| 2       | driveB               | deliverShipment       | 商家订单7           | 42              | 42              | 42              |
| 2       | driveB               | pickupShipment        | 商家订单19          | 68              | 68              | 68              |
| 2       | driveB               | deliverShipment       | 商家订单19          | 70              | 70              | 70              |
| 2       | driveB               | pickupShipment        | 商家订单15          | 96              | 96              | 96              |
| 2       | driveB               | deliverShipment       | 商家订单15          | 104             | 104             | 104             |
| 2       | driveB               | end                   | -               | 104             | undef           | 104             |
+---------+----------------------+-----------------------+-----------------+-----------------+-----------------+-----------------+
| 3       | driveC               | start                 | -               | undef           | 0               | 0               |
| 3       | driveC               | pickupShipment        | 商家订单1           | 4               | 4               | 4               |
| 3       | driveC               | pickupShipment        | 商家订单28          | 9               | 9               | 9               |
| 3       | driveC               | deliverShipment       | 商家订单1           | 17              | 17              | 17              |
| 3       | driveC               | deliverShipment       | 商家订单28          | 21              | 21              | 21              |
| 3       | driveC               | pickupShipment        | 商家订单12          | 26              | 26              | 26              |
| 3       | driveC               | pickupShipment        | 商家订单5           | 27              | 27              | 27              |
| 3       | driveC               | pickupShipment        | 商家订单6           | 35              | 35              | 35              |
| 3       | driveC               | pickupShipment        | 商家订单8           | 58              | 58              | 58              |
| 3       | driveC               | pickupShipment        | 商家订单11          | 61              | 61              | 61              |
| 3       | driveC               | deliverShipment       | 商家订单8           | 69              | 69              | 69              |
| 3       | driveC               | deliverShipment       | 商家订单6           | 73              | 73              | 73              |
| 3       | driveC               | deliverShipment       | 商家订单11          | 87              | 87              | 87              |
| 3       | driveC               | pickupShipment        | 商家订单24          | 101             | 101             | 101             |
| 3       | driveC               | pickupShipment        | 商家订单10          | 119             | 119             | 119             |
| 3       | driveC               | pickupShipment        | 商家订单3           | 127             | 127             | 127             |
| 3       | driveC               | pickupShipment        | 商家订单29          | 157             | 157             | 157             |
| 3       | driveC               | deliverShipment       | 商家订单29          | 192             | 192             | 192             |
| 3       | driveC               | deliverShipment       | 商家订单10          | 415             | 415             | 415             |
| 3       | driveC               | deliverShipment       | 商家订单5           | 418             | 418             | 418             |
| 3       | driveC               | deliverShipment       | 商家订单24          | 423             | 423             | 423             |
| 3       | driveC               | deliverShipment       | 商家订单12          | 425             | 425             | 425             |
| 3       | driveC               | deliverShipment       | 商家订单3           | 432             | 432             | 432             |
| 3       | driveC               | end                   | -               | 432             | undef           | 432             |
+---------+----------------------+-----------------------+-----------------+-----------------+-----------------+-----------------+
| 4       | driveD               | start                 | -               | undef           | 0               | 0               |
| 4       | driveD               | pickupShipment        | 商家订单27          | 0               | 0               | 0               |
| 4       | driveD               | pickupShipment        | 商家订单9           | 10              | 10              | 10              |
| 4       | driveD               | pickupShipment        | 商家订单13          | 55              | 55              | 55              |
| 4       | driveD               | deliverShipment       | 商家订单27          | 66              | 66              | 66              |
| 4       | driveD               | deliverShipment       | 商家订单9           | 78              | 78              | 78              |
| 4       | driveD               | pickupShipment        | 商家订单14          | 107             | 107             | 107             |
| 4       | driveD               | pickupShipment        | 商家订单30          | 132             | 132             | 132             |
| 4       | driveD               | deliverShipment       | 商家订单14          | 182             | 182             | 182             |
| 4       | driveD               | deliverShipment       | 商家订单13          | 233             | 233             | 233             |
| 4       | driveD               | pickupShipment        | 商家订单37          | 596             | 596             | 596             |
| 4       | driveD               | deliverShipment       | 商家订单30          | 760             | 760             | 760             |
| 4       | driveD               | pickupShipment        | 商家订单40          | 768             | 768             | 768             |
| 4       | driveD               | pickupShipment        | 商家订单39          | 768             | 768             | 768             |
| 4       | driveD               | pickupShipment        | 商家订单38          | 768             | 768             | 768             |
| 4       | driveD               | pickupShipment        | 商家订单2           | 971             | 971             | 971             |
| 4       | driveD               | deliverShipment       | 商家订单40          | 1255            | 1255            | 1255            |
| 4       | driveD               | pickupShipment        | 商家订单31          | 1325            | 1325            | 1325            |
| 4       | driveD               | deliverShipment       | 商家订单39          | 1734            | 1734            | 1734            |
| 4       | driveD               | deliverShipment       | 商家订单38          | 1875            | 1875            | 1875            |
| 4       | driveD               | deliverShipment       | 商家订单2           | 1936            | 1936            | 1936            |
| 4       | driveD               | deliverShipment       | 商家订单37          | 1972            | 1972            | 1972            |
| 4       | driveD               | deliverShipment       | 商家订单31          | 2017            | 2017            | 2017            |
| 4       | driveD               | end                   | -               | 2017            | undef           | 2017            |
+---------+----------------------+-----------------------+-----------------+-----------------+-----------------+-----------------+
| 5       | driveE               | start                 | -               | undef           | 0               | 0               |
| 5       | driveE               | pickupShipment        | 商家订单35          | 119             | 119             | 119             |
| 5       | driveE               | pickupShipment        | 商家订单34          | 192             | 192             | 192             |
| 5       | driveE               | pickupShipment        | 商家订单33          | 271             | 271             | 271             |
| 5       | driveE               | deliverShipment       | 商家订单35          | 382             | 382             | 382             |
| 5       | driveE               | pickupShipment        | 商家订单36          | 559             | 559             | 559             |
| 5       | driveE               | deliverShipment       | 商家订单36          | 628             | 628             | 628             |
| 5       | driveE               | deliverShipment       | 商家订单34          | 921             | 921             | 921             |
| 5       | driveE               | deliverShipment       | 商家订单33          | 993             | 993             | 993             |
| 5       | driveE               | end                   | -               | 993             | undef           | 993             |
+---------+----------------------+-----------------------+-----------------+-----------------+-----------------+-----------------+
| 6       | driveF               | start                 | -               | undef           | 0               | 0               |
| 6       | driveF               | pickupShipment        | 商家订单26          | 43              | 43              | 43              |
| 6       | driveF               | deliverShipment       | 商家订单26          | 81              | 81              | 81              |
| 6       | driveF               | pickupShipment        | 商家订单16          | 133             | 133             | 133             |
| 6       | driveF               | pickupShipment        | 商家订单17          | 166             | 166             | 166             |
| 6       | driveF               | deliverShipment       | 商家订单17          | 237             | 237             | 237             |
| 6       | driveF               | pickupShipment        | 商家订单4           | 249             | 249             | 249             |
| 6       | driveF               | deliverShipment       | 商家订单16          | 306             | 306             | 306             |
| 6       | driveF               | deliverShipment       | 商家订单4           | 329             | 329             | 329             |
| 6       | driveF               | end                   | -               | 329             | undef           | 329             |
+---------+----------------------+-----------------------+-----------------+-----------------+-----------------+-----------------+
| 7       | driveG               | start                 | -               | undef           | 0               | 0               |
| 7       | driveG               | pickupShipment        | 商家订单32          | 65              | 65              | 65              |
| 7       | driveG               | deliverShipment       | 商家订单32          | 204             | 204             | 204             |
| 7       | driveG               | end                   | -               | 204             | undef           | 204             |
+--------------------------------------------------------------------------------------------------------------------------------+

这样就可以得到

配送人员 driveA
1 取 商家订单25
2 送 商家订单25
3 取 商家订单21
4 取 商家订单23
5 取 商家订单22
6 取 商家订单20
7 送 商家订单22
8 送 商家订单23
9 取 商家订单18
10 送 商家订单18
11 送 商家订单21
12 送 商家订单20
配送人员 driveB
1 取 商家订单7
2 送 商家订单7
3 取 商家订单19
4 送 商家订单19
5 取 商家订单15
6 送 商家订单15
配送人员 driveC
1 取 商家订单1
2 取 商家订单28
3 送 商家订单1
4 送 商家订单28
5 取 商家订单12
6 取 商家订单5
7 取 商家订单6
8 取 商家订单8
9 取 商家订单11
10 送 商家订单8
11 送 商家订单6
12 送 商家订单11
13 取 商家订单24
14 取 商家订单10
15 取 商家订单3
16 取 商家订单29
17 送 商家订单29
18 送 商家订单10
19 送 商家订单5
20 送 商家订单24
21 送 商家订单12
22 送 商家订单3
配送人员 driveD
1 取 商家订单27
2 取 商家订单9
3 取 商家订单13
4 送 商家订单27
5 送 商家订单9
6 取 商家订单14
7 取 商家订单30
8 送 商家订单14
9 送 商家订单13
10 取 商家订单37
11 送 商家订单30
12 取 商家订单40
13 取 商家订单39
14 取 商家订单38
15 取 商家订单2
16 送 商家订单40
17 取 商家订单31
18 送 商家订单39
19 送 商家订单38
20 送 商家订单2
21 送 商家订单37
22 送 商家订单31
配送人员 driveE
1 取 商家订单35
2 取 商家订单34
3 取 商家订单33
4 送 商家订单35
5 取 商家订单36
6 送 商家订单36
7 送 商家订单34
8 送 商家订单33
配送人员 driveF
1 取 商家订单26
2 送 商家订单26
3 取 商家订单16
4 取 商家订单17
5 送 商家订单17
6 取 商家订单4
7 送 商家订单16
8 送 商家订单4
配送人员 driveG
1 取 商家订单32
2 送 商家订单32

配送人员的配送顺序。

总结

目前算法中使用的是欧式距离来进行两个点之间距离的计算,运算的时间随着单子数量的增加会加长,并且在某些情况下还会有很多的约束条件,这些都是下一步算法需要改进的重点。

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