search.noResults

search.searching

note.createNoteMessage

search.noResults

search.searching

orderForm.title

orderForm.productCode
orderForm.description
orderForm.quantity
orderForm.itemPrice
orderForm.price
orderForm.totalPrice
orderForm.deliveryDetails.billingAddress
orderForm.deliveryDetails.deliveryAddress
orderForm.noItems
Optimizing Pupil Transportation to Solve Routing Challenges


WRITTEN BY ALI HAGHANI, PH.D. & ALI SHAFANI, PH.D. N


ationwide, school districts are faced with the problem of transporting elementary, middle and high school students daily. Pupil trans- portation is a large and complex problem. In


such problems, improving operational efficiency by even a few percentages could result in great advantages. Tere are many aspects of pupil transportation in which optimiza- tion can be used for improving efficiency. We have been working with David Ramsay, director of transportation for Howard County Public School System (HCPSS) in Ellicott City, Maryland over the past year to analyze the transportation system and recommend ways to improve it.


Our work focused on three important areas. Te first


is related to route generation. Routes are the sequence of trips that can be served by one bus. Te goal of the route generation problem is both reducing the aggregate dead- head time and the number of routes. Fewer routes equate to fewer buses, since each route is assigned to a single bus. In this problem, we take the bus trips as input, and with- out modifying them, we assign them to routes such that the aggregate deadhead time and the number of routes are minimized. Since the trips are fixed, by minimizing the deadhead we are minimizing the total time the buses are en route. Minimizing the deadhead travel results in cost


QUAL IT Y MAT TERS


44 School Transportation News • APRIL 2017


CELEBRATING25YEARS


Page 1  |  Page 2  |  Page 3  |  Page 4  |  Page 5  |  Page 6  |  Page 7  |  Page 8  |  Page 9  |  Page 10  |  Page 11  |  Page 12  |  Page 13  |  Page 14  |  Page 15  |  Page 16  |  Page 17  |  Page 18  |  Page 19  |  Page 20  |  Page 21  |  Page 22  |  Page 23  |  Page 24  |  Page 25  |  Page 26  |  Page 27  |  Page 28  |  Page 29  |  Page 30  |  Page 31  |  Page 32  |  Page 33  |  Page 34  |  Page 35  |  Page 36  |  Page 37  |  Page 38  |  Page 39  |  Page 40  |  Page 41  |  Page 42  |  Page 43  |  Page 44  |  Page 45  |  Page 46  |  Page 47  |  Page 48  |  Page 49  |  Page 50  |  Page 51  |  Page 52  |  Page 53  |  Page 54  |  Page 55  |  Page 56  |  Page 57  |  Page 58  |  Page 59  |  Page 60