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Many real situations require to find a point to point shortest path having special properties, matching non standard requirements and fulfilling unusual conditions and constraints. It is hard to write a mathematical model for just mentioned problems. One way how to solve this task is to enumerate certain number of shortest paths and to choose from them the most convenient one. There are several k-shortest...
The paper is devoted to computerized optimization of vehicle and crew schedules in municipal and regional bus transport. Vehicle scheduling problem can be formulated as an integer linear program which is solvable by means of so called solver. Minimization of the number of required vehicles and minimization of dead kilometers are the fundamental objectives of optimization. Running board for a bus is...
In this paper we study a nontraditional model for the real-world situation which can occur in bus scheduling problem. It is motivated by the question: What minimal shortenings of the driving time should be made in some sections of an existing bus schedule (on a given transport network) to obtain optimal schedule? We show that this problem can be formulated as LP problem. First we formulate a new model...
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