2012
DOI: 10.1299/jamdsm.6.672
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Petri Net Decomposition Approach for Bi-Objective Routing for AGV Systems Minimizing Total Traveling Time and Equalizing Delivery Time

Abstract: In this paper, we propose Petri net decomposition approach for bi-objective optimization of conflict-free routing for AGV systems. The objective is minimizing total traveling time and equalizing delivery time simultaneously. The dispatching and conflictfree routing problem for AGVs is represented as a bi-objective optimal firing sequence problem for Petri Net. A Petri net decomposition approach is proposed to solve the bi-objective optimization problem efficiently. The convergence of the proposed algorithm is … Show more

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Cited by 4 publications
(3 citation statements)
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References 7 publications
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“…Xu and Guo [27] set up a model with the maximum completion time, machine energy consumption, and the number of AGVs as targets, and proposed a hybrid evolutionary algorithm based on a segmented coding mode. Li et al [28] set up a mathematical model and proposed an improved harmonic search algorithm with the objectives of AGV traveling distance, standard deviation of loading capacity, and standard deviation of the difference between the latest and expected delivery times. Eda et al [29] established a model with AGV travel and balanced delivery times as targets, and proposed a Petri net decomposition method.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Xu and Guo [27] set up a model with the maximum completion time, machine energy consumption, and the number of AGVs as targets, and proposed a hybrid evolutionary algorithm based on a segmented coding mode. Li et al [28] set up a mathematical model and proposed an improved harmonic search algorithm with the objectives of AGV traveling distance, standard deviation of loading capacity, and standard deviation of the difference between the latest and expected delivery times. Eda et al [29] established a model with AGV travel and balanced delivery times as targets, and proposed a Petri net decomposition method.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Finally, the efficiency of this method in trajectory research and time optimization has been demonstrated. The method of bi-objective optimization was also used to express the dispatching and conflict-free path problem for AGVs as a bi-objective optimal firing sequence problem for Petri Net [136]. In this research, two objective functions were set, one for the deviation of delivery time from an initial position to a destination, and another for the sum of the total traveling time.…”
Section: The Shortest Time To Completementioning
confidence: 99%
“…To avoid collisions, we should exclude the situations that multiple vehicles are at the same point at the same time or that a vehicle overtakes another vehicle by accelerating or decelerating. It is assumed that tasks are assigned to vehicles by a nearest neighbor method (Eda, et al, 2012). The method is designed such that the task is assigned to the vehicle which has the least estimated traveling time.…”
Section: Routing Problem For Automated Guided Vehicles With Acceleratmentioning
confidence: 99%