In this paper, we model mass running urban races, taking into consideration several conditioning factors. The main goal is to find ideal configurations of the start of the race, splitting it into several waves, reducing the density of athletes and the overall time lost, when comparing the normal race results with a race without density constraints. This model takes into account distinct realistic runners' profi...
We consider a time series with real data from a water lift station, equipped with three water pumps which are activated and deactivated depending on certain starting and halting thresholds. Given the water level and the number of active pumps, both read every 5 min, we aim to infer when each pump was activated or deactivated. To do so, we build an algorithm that sets a hierarchy of criteria based on the past an...
We consider a time series with real data from a water lift station, equipped with three water pumps which are activated and deactivated depending on certain starting and halting thresholds. Given the water level and the number of active pumps, both read every 5 min, we aim to infer when each pump was activated or deactivated. To do so, we build an algorithm that sets a hierarchy of criteria based on the past an...
Vipex is a plastic injection company whose mission is to "Architect plastics industrialization for production". The company is a leading company that continues seeking to be on the cutting edge of plastic injection. In order to better understand all the multi-physics involved in plastic injection, Vipex presented the following challenge: "Vipex is producing a large container lid in conditions considered to be n...
Vipex is a plastic injection company whose mission is to "Architect plastics industrialization for production". The company is a leading company that continues seeking to be on the cutting edge of plastic injection. In order to better understand all the multi-physics involved in plastic injection, Vipex presented the following challenge: "Vipex is producing a large container lid in conditions considered to be n...
Lap2Go is the portuguese timekeeping leader for sport events (e.g. running, trail running, MTB). The company manages more than 150 events by year, with thousands of participants using chips to sort out the results of all the participants for each event. Sometimes the road running events use start waves as segmentation. Each wave is based on the running rythm of each participant (e.g. under 40 minutes in a 10 Km...
Lap2go is a Portuguese timekeeping for several types of sport events. The challenge posed by this company is how to better manage the starting waves for mass running events in order to avoid congestions, taking into account each participant natural running pace, the total number of participants and, if possible, the topography and width of the road. As a case study the group has received the time each participa...
In this paper we prove the existence of bounded solutions in the real line for the equation u+ sign( u) = p( t), where p is a function with average. Some useful density results for the space of functions with zero average are also obtained.