mcm2006B Wheel Chair Access at Airports 机场轮椅的使用美国数学建模 - matlab数学建模

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标题：mcm2006B Wheel Chair Access at Airports 机场轮椅的使用美国数学建模
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所属分类: 数学建模资源类型：文档文件大小: 5.79 KB 上传时间: 2019-08-19 20:03:45 下载次数: 86 资源积分：1分提供者: jiqiren 20190819080432135

内容：
(MCM 2006B)

One of the frustrations with air travel is the need to fly through multiple airports, and each stop generally requires each traveler to change to a different airplane. This can be especially difficult for people who are not able to easily walk to a different flight's waiting area. One of the ways that an airline can make the transition easier is to provide a wheel chair and an escort to those people who ask for help. It is generally known well in advance which passengers require help, but it is not uncommon to receive notice when a passenger first registers at the airport. In rare instances an airline may not receive notice from a passenger until just prior to landing.

Airlines are under constant pressure to keep their costs down. Wheel chairs wear out and are expensive and require maintenance. There is also a cost for making the escorts available. Moreover, wheel chairs and their escorts must be constantly moved around the airport so that they are available to people when their flight lands. In some large airports the time required to move across the airport is nontrivial. The wheel chairs must be stored somewhere, but space is expensive and severely limited in an airport terminal. Also, wheel chairs left in high traffic areas represent a liability risk as people try to move around them. Finally, one of the biggest costs is the cost of holding a plane if someone must wait for an escort and becomes late for their flight. The latter cost is especially troubling because it can affect the airline's average flight delay which can lead to fewer ticket sales as potential customers may choose to avoid an airline.

Epsilon Airlines has decided to ask a third party to help them obtain a detailed analysis of the issues and costs of keeping and maintaining wheel chairs and escorts available for passengers. The airline needs to find a way to schedule the movement of wheel chairs throughout each day in a cost effective way. They also need to find and define the costs for budget planning in both the short and long term.

Epsilon Airlines has asked your consultant group to put together a bid to help them solve their problem. Your bid should include an overview and analysis of the situation to help them decide if you fully understand their problem. They require a detailed description of an algorithm that you would like to implement which can determine where the escorts and wheel chairs should be and how they should move throughout each day. The goal is to keep the total costs as low as possible. Your bid is one of many that the airline will consider. You must make a strong case as to why your solution is the best and show that it will be able to handle a wide range of airports under a variety of circumstances.

Your bid should also include examples of how the algorithm would work for a large (at least 4 concourses), a medium (at least two concourses), and a small airport (one concourse) under high and low traffic loads. You should determine all potential costs and balance their respective weights. Finally, as populations begin to include a higher percentage of older people who have more time to travel but may require more aid, your report should include projections of potential costs and needs in the future with recommendations to meet future needs.

机场轮椅的使用(美国竞赛2006年B题)

航空旅行中的一个难题，是旅客需要通过多个机场飞行，旅客每一次机场停留通常都需要换乘不同的飞机，这对于那些行走不便的旅客来说要行走到不同侯机厅尤为困难。航空公司为使这些旅客的转机变得方便的一个方法是为这类有帮助需求的旅客准备一个轮椅和一个陪送。一般来说这些旅客会事先提出帮助的要求，但是也有旅客在换登机牌时才提出要求，也有很少的旅客在降落前才提出要求。

航空公司承受着减少成本的压力。这些轮椅昂贵且容易损坏，经常需要维修，还有轮椅陪送的费用也不低。另外，轮椅和它们的陪送必须在机场内往返穿梭，使得有需求的旅客在降落时可以使用。在一些大的机场，通过机场所需要的时间是有限制的。轮椅必须存放在机场的某一地方，但机场的空间很宝贵，且机场登机口只允许进入有限的轮椅，而且轮椅在人流密集的地方还有危险，因为人们走路时必须绕开它们。最后，最大的费用是飞机延误造成的费用，如果有人必须等待陪送而延误了时间，该航班就不能立即起飞。最后的最麻烦，因为其引起了该航空公司的平均延误时间，潜在的顾客可能因此不选择该公司而使该公司减少票源。

爱普斯隆航空公司决定寻求第三方帮助做一个关于保留和维护乘客的轮椅和陪送详尽的分析。航空公司需要找到一个办法去规划每天轮椅的最经济的调度方式，他们也需要找到确定这一项计划短期和长期的费用。

爱普斯隆航空公司要求你们顾问团投标帮助他们解决上述问题。如果你完全明白他们的问题，你的投标应该包括目前情况的总观和分析以帮助他们做决定。他们需要你的算法的一个详细地描述，应用你的方法，他们可以确定轮椅和陪送应该出现在什么地方，以及每天应该怎么操作，目标是使总成本尽可能低，你的投标是航空公司会考虑的许多投标方案中的一个。你必须有一个强有力的证据说明你的方案是最好的。并且说明它可以处理不同情况下各种机场的情况。

你的投标还必须包括你的算法是如何为大型机场（至少4个候机区），中型机场（至少2个候机区），小型机场（1个候机区）在高的河低的客流量时服务的。你要决定所有可能的费用，并且权衡它们的重要性。最后，随着有时见出行并且需要帮助的老年人比例越来越大，你的报告还应该包括应付这种情况带来的潜在的费用需要的计划。

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mcm2006B Wheel Chair Access at Airports 机场轮椅的使用 .doc