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Team 13074: Best schedule to utilize the Big Long River

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team<strong>13074</strong><br />

page 8of20<br />

Chart6 <strong>schedule</strong> when <strong>the</strong> campsite set is for 2 trip types<br />

As one can see, <strong>the</strong> ratio of <strong>the</strong> two trip types can also be any number differing from<br />

2<br />

1<br />

shown in <strong>the</strong> above example. To achieve this we only need <strong>to</strong> replace <strong>the</strong> (7,7,8) in<br />

<strong>the</strong> above <strong>schedule</strong> with o<strong>the</strong>r combination of <strong>the</strong> two trip types. Therefore similar<br />

<strong>to</strong> 5.2.1, we are able <strong>to</strong> design <strong>the</strong> <strong>schedule</strong> for given proportions of all trip types by<br />

designing <strong>the</strong> <strong>schedule</strong> for corresponding ratio of every two trip types of <strong>the</strong> same<br />

group.<br />

As mentioned in assumption 47, we calculate for <strong>the</strong> exact <strong>schedule</strong> when Y=150 in<br />

order <strong>to</strong> illustrate <strong>the</strong> model. For simplicity we let different trip types distribute<br />

uniformly.<br />

Similar with 5.2.1, in order <strong>to</strong> make sure every trip can achieve its duration, we need<br />

Y ≥ 5 + 2(7 + 9 + 11 + 13 + 15 + 17) = 149. As Y=150, a certain trip can cover at<br />

most 2 intervals each day, and for most time, a certain trip can only cover 1 interval.<br />

Therefore, similar with 5.2.1, we can find out that only 2 days form a cycle. We only<br />

present two days’ <strong>schedule</strong>, and <strong>the</strong> following days’ <strong>schedule</strong> can copy <strong>the</strong> cycle.

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