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2002_年美国大学生数学建模竞赛_mcm_icm_试题 [2008/01/12 22:49]
amao 		2002_年美国大学生数学建模竞赛_mcm_icm_试题 [2014/12/30 22:36] (当前版本)
行 21: 行 21:
  
 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. 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.
 +
 +
  
  
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 The Florida scrub lizard is a small, gray or gray-brown lizard that lives throughout upland sandy areas in the Central and Atlantic coast regions of Florida.  The Florida Committee on Rare and Endangered Plants classified the scrub lizard as endangered. The Florida scrub lizard is a small, gray or gray-brown lizard that lives throughout upland sandy areas in the Central and Atlantic coast regions of Florida.  The Florida Committee on Rare and Endangered Plants classified the scrub lizard as endangered.
  
-You will find a fact sheet on the Florida Scrub Lizard at http://www.comap.com/undergraduate/contests/icm/2002problem/scrublizard.pdf +You will find a fact sheet on the Florida Scrub Lizard at http://www.comap.com/undergraduate/contests/mcm/contests/2002/problems/icm2002data/scrublizard.pdf 
  
 The long-term survival of the Florida scrub lizard is dependent upon preservation of the proper spatial configuration and size of scrub habitat patches.  The long-term survival of the Florida scrub lizard is dependent upon preservation of the proper spatial configuration and size of scrub habitat patches. 
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 ^Year ^ Age ^ Total Number Living ^ Number of Living Females ^ Avg. Female Size (mm) ^ ^Year ^ Age ^ Total Number Living ^ Number of Living Females ^ Avg. Female Size (mm) ^
-  
 | 1 | 0 | 972| 495| 30.3| | 1 | 0 | 972| 495| 30.3|
 | 2 | 1 | 180| 92| 45.8| | 2 | 1 | 180| 92| 45.8|
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 Migration data for juvenile lizards marked, released, and recaptured up to 6 months later.  Surveys for recapture were conducted up to 750m from release sites. Migration data for juvenile lizards marked, released, and recaptured up to 6 months later.  Surveys for recapture were conducted up to 750m from release sites.
  
 +{{mcm-icm:lizard.gif|}}
  
- +**Task 5**:  Develop a model to estimate the overall population size of scrub lizards for the landscape given in Table 3.  Also, determine which patches are suitable for occupation by scrub lizards and which patches would not support a viable population.
- +
-Task 5:  Develop a model to estimate the overall population size of scrub lizards for the landscape given in Table 3.  Also, determine which patches are suitable for occupation by scrub lizards and which patches would not support a viable population. +
- +
- +
  
 Patch size and amount of open sandy habitat for a landscape of 29 patches located on the Avon Park Air Force Range.  See: Patch size and amount of open sandy habitat for a landscape of 29 patches located on the Avon Park Air Force Range.  See:
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 for a map of the landscape. for a map of the landscape.
  
-Patch Identification +^Patch Identification^ Patch Size (ha)^ Sandy Habitat (ha)^ 
- Patch Size (ha) +|1| 13.66| 5.38| 
- Sandy Habitat (ha)+|2| 32.74| 11.91| 
 +|3| 1.39| 0.23| 
 +|4| 2.28| 0.76| 
 +|5| 7.03| 3.62| 
 +|6| 14.47| 4.38| 
 +|7| 2.52| 1.99| 
 +|8| 5.87| 2.49| 
 +|9| 22.27| 8.44| 
 +|10| 19.25| 7.58| 
 +|11| 11.31| 4.80| 
 +|12| 74.35| 19.15| 
 +|13| 21.57| 7.52| 
 +|14| 15.50| 2.82| 
 +|15| 35.54| 11.31| 
 +|16| 2.93| 1.15| 
 +|17| 47.21| 10.73| 
 +|18| 1.67| 0.13| 
 +|19| 9.80| 2.23| 
 +|20| 39.31| 7.15| 
 +|21| 2.23| 0.78| 
 +|22| 3.73| 1.02| 
 +|23| 8.46| 1.67| 
 +|24| 3.89| 1.89| 
 +|25| 1.33| 1.11| 
 +|26| 0.85| 0.79| 
 +|27| 8.75| 5.30| 
 +|28| 9.77| 6.22| 
 +|29| 13.45| 4.69|
    
-1 
- 13.66 
- 5.38 
-  
-2 
- 32.74 
- 11.91 
-  
-3 
- 1.39 
- 0.23 
-  
-4 
- 2.28 
- 0.76 
-  
-5 
- 7.03 
- 3.62 
-  
-6 
- 14.47 
- 4.38 
-  
-7 
- 2.52 
- 1.99 
-  
-8 
- 5.87 
- 2.49 
-  
-9 
- 22.27 
- 8.44 
-  
-10 
- 19.25 
- 7.58 
-  
-11 
- 11.31 
- 4.80 
-  
-12 
- 74.35 
- 19.15 
-  
-13 
- 21.57 
- 7.52 
-  
-14 
- 15.50 
- 2.82 
-  
-15 
- 35.54 
- 11.31 
-  
-16 
- 2.93 
- 1.15 
-  
-17 
- 47.21 
- 10.73 
-  
-18 
- 1.67 
- 0.13 
-  
-19 
- 9.80 
- 2.23 
-  
-20 
- 39.31 
- 7.15 
-  
-21 
- 2.23 
- 0.78 
-  
-22 
- 3.73 
- 1.02 
-  
-23 
- 8.46 
- 1.67 
-  
-24 
- 3.89 
- 1.89 
-  
-25 
- 1.33 
- 1.11 
-  
-26 
- 0.85 
- 0.79 
-  
-27 
- 8.75 
- 5.30 
-  
-28 
- 9.77 
- 6.22 
-  
-29 
- 13.45 
- 4.69 
-  
- 
-TASK 6: It has been determined from aerial photographs that vegetation density increases by about 6% a year within the Florida scrub areas.  Please make a recommendation on a policy for controlled burning.  
  
 +**TASK 6**: It has been determined from aerial photographs that vegetation density increases by about 6% a year within the Florida scrub areas.  Please make a recommendation on a policy for controlled burning. 
  
2002_年美国大学生数学建模竞赛_mcm_icm_试题.1200149384.txt.gz · 最后更改: 2014/12/30 22:35 (外部编辑)

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