Question

Suppose you are going on a ski trip with friends. Each day, your friends will either
decide to stay and ski one more day or decide to leave, such that you do not
know ahead of time how long you will keep on skiing. The ski shop gives you two
options: you can either rent skis for 1$/day, or you can buy skis for B$ after which
you do not need to rent skis anymore. The OPTIMAL algorithm is omniscient and
knows exactly how many days N you will ski. If N > 2xB, the OPTIMAL algorithm
decides to buy skis otherwise rent skis every day. Without knowing N ahead of
time, the ONLINE algorithm is to rent skis for 2xB days, then buy skis on the 2xB +
1 day. What is the competitive ratio of the ONLINE algorithm?​

Answer 1

Answer:

Maybe a friend told you about the rush they get while gliding downhill, or you saw footage of professionals racing down the mountain. Whatever it was that has drawn you to skiing or snowboarding, you’re about to experience winter in a new and exciting way. But before you jump in the car and head for the hills, here’s what you need to do to plan your first time skiing or snowboarding:

Explanation:

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