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EN
The work deals with the issue of assigning vehicles to tasks in transport companies, taking into account the minimization of the risk of dangerous events on the route of vehicles performing the assigned transport tasks. The proposed risk management procedure based on a heuristic algorithm reduces the risk to a minimum. The ant algorithm reduces it in the event of exceeding the limit, which differs from the classic methods of risk management, which are dedicated only to risk assessment. A decision model has been developed for risk management. The decision model considers the limitations typical of the classic model of assigning vehicles to tasks, e.g. window limits and additionally contains limitations on the acceptable risk on the route of vehicles' travel. The criterion function minimizes the probability of an accident occurring along the entire assignment route. The probability of the occurrence of dangerous events on the routes of vehicles was determined based on known theoretical distributions. The random variable of the distributions was defined as the moment of the vehicle's appearance at a given route point. Theoretical probability distributions were determined based on empirical data using the STATISTICA 13 package. The decision model takes into account such constraints as the time of task completion and limiting the acceptable risk. The criterion function minimizes the probability of dangerous events occurring in the routes of vehicles. The ant algorithm has been validated on accurate input data. The proposed ant algorithm was 95% effective in assessing the risk of adverse events in assigning vehicles to tasks. The algorithm was run 100 times. The designated routes were compared with the actual hours of the accident at the bottom of the measurement points. The graphical interpretation of the results is shown in the PTV Visum software. Verification of the algorithm confirmed its effectiveness. The work presents the process of building the algorithm along with its calibration.
PL
Niniejszy artykuł jest trzecim z cyklu artykułów, jakie autorzy analizują tematykę zarządzania samochodowym taborem ciężarowym. Artykuł ten prezentuje pięć przykładów zastosowania ilościowych (optymalizacyjnych) metod rozwiązywania wybranych problemów zarządzania taborem. W artykule zaprezentowano przykłady rozwiązania następujących problemów: Make or Buy (MOB), liczebność/kompozycja taboru, wymiana taboru, przydział pojazdów do zadań przewozowych oraz marszrutyzacja (ang. vehicle routing problem - VRP). W przypadku każdego z problemów dokonano jego definicji oraz zaprezentowano dane wejściowe i uzyskane rezultaty, w tym rozwiązanie optymalne na tle rozwiązania losowego.
EN
The paper is the third one from the series of three papers that the Authors dedicate to the freight fleet management topic. The paper presents five examples of the application of quantitative (optimization) methods to selected fleet management problems. The following fleet management problems are considered: Make or Buy problem, fleet sizing/composition problem, vehicle replacement problem, assignment of vehicles to transportation tusks, and the VRP. All the selected problems are carefully defined. Moreover, input and output data (obtained solutions) are presented, including optimal solutions compared to random ones.
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