  This paper introduces the School Bus Routing Problem with Open Offer Policy
(SBRP-OOP) that seeks to improve capacity usage and minimize the bus fleet by
openly offering a monetary incentive to students willing to opt out of using a
bus. We propose a mathematical formulation to determine a pricing strategy that
balances the trade-off between incentive payments for students who choose not
to use the bus with the expected savings obtained from operating fewer buses.
To evaluate the effectiveness of the approach, we conducted simulations using
both synthetic and real instances from a real operational context in the
Williamsville Central School District (WCSD) of New York.
