mcm2002B Airline Overbooking 航空公司超员订票美国数学建模 - matlab数学建模

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标题：mcm2002B Airline Overbooking 航空公司超员订票美国数学建模
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所属分类: 数学建模资源类型：文档文件大小: 4.69 KB 上传时间: 2019-08-19 20:40:49 下载次数: 24 资源积分：1分提供者: jiqiren 20190819084142988

内容：
(MCM 2002B)

You're all packed and ready to go on a trip to visit your best friend in New York City. After you check in at the ticket counter, the airline clerk announces that your flight has been overbooked. Passengers need to check in immediately to determine if they still have a seat.

Historically, airlines know that only a certain percentage of passengers who have made reservations on a particular flight will actually take that flight. Consequently, most airlines overbook-that is, they take more reservations than the capacity of the aircraft. Occasionally, more passengers will want to take a flight than the capacity of the plane leading to one or more passengers being bumped and thus unable to take the flight for which they had reservations.

Airlines deal with bumped passengers in various ways. Some are given nothing, some are booked on later flights on other airlines, and some are given some kind of cash or airline ticket incentive.

Consider the overbooking issue in light of the current situation: Less flights by airlines from point A to point B Heightened security at and around airports Passengers' fear Loss of billions of dollars in revenue by airlines to date.

Build a mathematical model that examines the effects that different overbooking schemes have on the revenue received by an airline company in order to find an optimal overbooking strategy, i.e., the number of people by which an airline should overbook a particular flight so that the company's revenue is maximized. Insure that your model reflects the issues above, and consider alternatives for handling "bumped" passengers. Additionally, write a short memorandum to the airline's CEO summarizing your findings and analysis.

航空公司超员订票(美国竞赛2002年B题)

你备好行装准备去旅行，访问New York城的一位挚友。在检票处登记之后，航空公司职员告诉说，你的航班已经超员订票。乘客们应当马上登记以便确定他们是否还有一个座位。

航空公司一向清楚，预订一个特定航班的乘客们只有一定的百分比将实际乘坐那个航班。因而，大多数航空公司超员订票--也就是，他们办理超过飞机定员的订票手续。而有时，需要乘坐一个航班的乘客是飞机容纳不下的，导致一位或多位乘客被挤出而不能乘坐他们预订的航班。

航空公司安排延误乘客的方式各有不同。有些得不到任何补偿，有些改订到其他航线的稍后航班，而有些给予某种现金或者机票折扣。

根据当前情况，考虑超员订票问题：航空公司安排较少的从A地到B地航班, 机场及其外围加强安全性, 乘客的恐惧, 航空公司的收入迄今损失达数千万美元。

建立数学模型，用来检验各种超员订票方案对于航空公司收入的影响，以求找到一个最优订票策略，就是说，航空公司对一个特定的航班订票应当超员的人数，使得公司的收入达到最高。确保你的模型反映上述问题，而且考虑处理“延误”乘客的其他办法。此外，书写一份简短的备忘录给航空公司的CEO（首席执行官），概述你的发现和分析。

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