It is safe to say that traveling impacts the peak performance of teams and athletes in general - studies have been done across all kinds of sports that confirm this intuitive idea. Thus, to avoid unfair- and unhappiness, an organizer should aim to minimize the effect of travel time disparities.
The Premier League of Darts is an annual competition where the best darts players of the world compete over several months for the title, and the prize of £275.000. However… the schedule chosen by the PDC is unbalanced: some matches between pairs of specific players will occur relatively often, while others will occur very rarely.
Around the world, tens of thousands of people are waiting to receive a kidney transplant. Read how mathematics can help more people receive one.
Every January, the best chess players in the world compete in the TATA Steel Chess Championship, organized in Wijk aan Zee (The Netherlands). Among this year’s fourteen participants were Magnus Carlsen, world no. 1, coming into the tournament with an unbeaten streak of 104 matches, and Fabiano Caruana, the world no. 2.
Finding a dating schedule that matches pairs of potential lovers up into dating couples, is an example of an algorithmic problem. There is a clearly defined input, given by the lists of who is considered an acceptable dating partner to whom. It is also clear what we want as the output: a pairing of classmates into acceptable boy-girl pairs that has as many pairs (dates) as possible. How can you find the best dating schedule?