Suppose the plane is divided by a straight line into two regions with different norms. We want to find the location of a single new facility such that the sum of the distances from the existing facilities to this point is minimized. This is in fact a non-convex optimization problem. The main...

In most western countries, there is a strong incentive for defence department budget-holders to expend all of the funds they are authorized to spend in a fiscal year. In this paper, we question whether this emphasis makes sense. We develop a model of a defence department's operating expenditure...

Recently I competed in a club golf competition where there was organized parimutuel betting on the outcome. I made an across-the-board (ATB) bet of $20 on our team to win, place, and show. Subsequently I wondered whether this was the best thing to do. Hence, this paper examines the theory of an...

In some organized minor sports programs where there is early competitive streaming, players born early in the year are more likely to reach elite levels than those born late in the year. This is generally attributed to the calendar year system most minor sports programs use to group players for...