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savings and reductions in air pollution. Our approach uses data analysis and mathematical mod- eling to find the optimal solution of the route generation problem in a relatively short time. It is worth noting that finding the optimal solution is very valuable since even a solution that is only 1-percent worse would require a considerable number of additional buses due to the size of the operation. Te solutions found through this approach can be viewed as a lower bound to the number of buses needed by school districts. We can find the optimal solution for HCPSS in less than a minute. Using this model, we ran many different what-if scenarios using different school start and dismissal times for the HCPSS, four of which are cur- rently under consideration by the Howard County School Board for possible implementation. Te second area is related to trip generation. While


we were working on the route generation problem for HCPSS, we decided to look at this problem as well since it


has a direct impact on route generation.Te trip genera- tion problem is simply determining the required bus trips to serve the students for each school in the system given the bus capacities, the stop locations and the number of students at each stop. Most existing routing models construct bus trips that visit a sequence of stops such that either the total travel time or the total number of trips is minimized. Te belief in such cases is that by minimizing the number of trips, we would minimize the number of buses needed. How- ever, our work indicates that this is not always the case. We developed another method that minimizes neither of the above two objectives but results in fewer buses needed for satisfying the transportation demand. Te preliminary research related to this study received this year’s Transpor- tation Research Board’s Network Modeling Committee’s Stella Dafermos Award. In October, we presented our work with HCPSS at


You Make It Possible for Our Children to Access Education


Thank you to the student transportation leaders who make the Transporting Students with Disabilities and Preschoolers Conference happen every year. This year’s conference was the best one yet.


Shortly after the conference, Tyler Technologies held an online presentation where we discussed our takeaways from the event and demonstrated how our technology can streamline the process of addressing special transportation needs. Watch the presentation on demand at: tylertech.com/TSD


www.stnonline.com 45


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