Team 13074: Best schedule to utilize the Big Long River

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Chart3 Schedule where Y=425
(ⅲ)Arrangement of separate campsite sets if the proportions of all trip types are
given
As shown above in chart3, the number of “forgone loss” can be ignored compared
with the total number of days available of all campsites, namely180 ∗ Y. In other
word, the schedule enables the trips to occupy nearly all campsites for all days in a
six months period, and obviously it can be regarded as the best s chedule.
Furthermore, if we ignore the “forgone loss” and the total number of a specific trip
180∗n i
type i can be calculated asm i = [
]. Therefore n duration of type i ican be determined
by m i .
We can now design a schedule with given proportions of all trip types. This is
because:
Given proportions of all trip types→the ratio of the total number of any two trip
types m i
m j
→the ratio of the campsites n i
n j
→combine with ∑ i n i = Y → n i
(Note this makes sense because the river agency is supposed to provide with a
variety of trip types and the flexibility to control the proportions of all trip types is
even more meaningful, since the river agency can refer to historical data and design a
schedule with proportions of all trip types compatible with previous demands of
tourists.)
Therefore we only need to design a schedule to allocate all Y campsites to n i orbits
respectively.