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In this paper, a combination transit operating strategy which consists of a system of short-turn and full-length trips operating along the same route is presented. The critical issue in short-turn service is to determine the turn-back point and the route schedule to balance passenger loads among the trips, and to minimize the total fleet size and the passenger waiting times. The turn-back point serviced by short-turn vehicles is first determined by the unbalanced coefficient of passenger demand on the line. The underlying scheduling model with short-turn strategy for a public bus line is formulated as a nonlinear programming problem with the objective of minimizing the total cost for both operators and passengers. A heuristic procedure using genetic algorithms is also presented. Finally, the proposed model and algorithm are successfully tested with the help of a real-world case. The application shows the effects on service patterns and the trade-offs over operation periods between passengers' and operator's costs.
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