The town’s Economic Development Office and the 128 Business Council are launching a pilot commuter shuttle bus between the Hartwell Avenue business district and Alewife Station on the MBTA’s Red Line this week. The shuttle bus, called “The Rev,” will begin running Tuesday, with stops at businesses along Hartwell Avenue, Preston Court, Maguire Road and Bedford Street. The bus will have wireless Internet service, and will be equipped with GPS so users can track its location along the route, said Melisa Tintocalis, Lexington’s economic development director. The town and the 128 Business Council received a federal grant of about $160,000 to start the service; Lexington is also kicking in about $3,000, and local businesses are picking up about 20 percent of the cost, said Tintocalis. The pilot program will run from 12 to 24 months, based on ridership, she said. The bus will run Mondays through Fridays with three departures from Alewife Station in the morning and three departures from Hartwell Avenue in the evening. The bus schedule can be found online at www.128bc.org/har .