1017 Queueing at Bank (25 分)

本文介绍了一种计算银行排队系统中客户平均等待时间的方法。考虑到银行的营业时间限制和多个服务窗口的情况,通过输入每个客户的到达时间和处理时间,算法能够精确计算出所有在营业时间内到达并被服务的客户平均等待时间。

Suppose a bank has K windows open for service. There is a yellow line in front of the windows which devides the waiting area into two parts. All the customers have to wait in line behind the yellow line, until it is his/her turn to be served and there is a window available. It is assumed that no window can be occupied by a single customer for more than 1 hour.

Now given the arriving time T and the processing time P of each customer, you are supposed to tell the average waiting time of all the customers.

Input Specification:

Each input file contains one test case. For each case, the first line contains 2 numbers: N (≤10​4​​) - the total number of customers, and K (≤100) - the number of windows. Then N lines follow, each contains 2 times: HH:MM:SS - the arriving time, and P - the processing time in minutes of a customer. Here HH is in the range [00, 23], MM and SS are both in [00, 59]. It is assumed that no two customers arrives at the same time.

Notice that the bank opens from 08:00 to 17:00. Anyone arrives early will have to wait in line till 08:00, and anyone comes too late (at or after 17:00:01) will not be served nor counted into the average.

Output Specification:

For each test case, print in one line the average waiting time of all the customers, in minutes and accurate up to 1 decimal place.

Sample Input:

7 3
07:55:00 16
17:00:01 2
07:59:59 15
08:01:00 60
08:00:00 30
08:00:02 2
08:03:00 10

Sample Output:

8.2
#include <iostream>	
#include <vector>	
#include <algorithm>	

using namespace std;

struct customer
{
	int come, time;
};

bool cmp(customer c1, customer c2)
{
	return c1.come < c2.come;
}

int main()
{
	//freopen("in.txt", "r", stdin);
	int n, k, hour, minute, second, index = 1, lateCount = 0;
	cin >> n >> k;
	vector<int> waitTime(n + 1, 0);
	vector<customer> custome(n + 1);
	for (int i = 1; i <= n; i++)
	{
		int temptime = 0;
		scanf("%d:%d:%d %d", &hour, &minute, &second, &temptime);
		int comeTime = hour * 60 * 60 + minute * 60 + second;
		custome[i].come = comeTime;
		custome[i].time = temptime * 60;
		if (comeTime > 61200)//太晚了  银行关门了  这个人不用考虑 所以最后除的时候减去来晚的人
		{
			lateCount++;
			continue;
		}
	}
	sort(custome.begin(), custome.end(), cmp);
	//所有窗口的初始化 都是从8点开始
	vector<int> window(k + 1, 28800);//save endtime
	


	while (index <= n)
	{
		int minEndtime = window[1], tempWindow = 1;
		for (int i = 2; i <= k; i++)
		{
			if (minEndtime > window[i])
			{
				minEndtime = window[i];
				tempWindow = i;
			}
		}
		if (custome[index].come < window[tempWindow])  //早到需要等和到的时候正好有空窗口不需要等两种情况
		{
			waitTime[index] += (window[tempWindow] - custome[index].come);
			window[tempWindow] += custome[index].time;
		}
		else
		{
			window[tempWindow] = custome[index].come + custome[index].time;
		}
		
		index++;
	}

	double totalWaitTime = 0.0;
	for (int i = 1; i <= n; i++)
	{
		totalWaitTime += waitTime[i];
	}
	if (n - lateCount == 0)
	{
		cout << "0.0\n" << endl;
	}
	else
	{
		printf("%.1f\n", totalWaitTime / (n - lateCount) / 60);
	}

	//fclose(stdin);
	return 0;
}

 

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