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Speeding-Up Routing Schedules on Aisle-Graphs
Proceedings of the 16th Annual International Conference on Distributed Computing in Sensor Systems (2020)
  • Francesco Betti Sorbelli
  • Federico Coro
  • Sajal K. Das, Missouri University of Science and Technology
  • Alfredo Navarra
  • Cristina M. Pinotti
Abstract

In this paper, we study the Orienteering Aisle-graphs Single-column Problem (OASP), which is a variant of the route planning problem for an entity/robot moving along a specific aisle-graph consisting of a set of rows connected via just one column at one endpoint of the rows. Such constrained aisle-graph may model, for instance, a vineyard or warehouse, where each vertex is assigned with a reward that a robot gains when visiting it for accomplishing a task. As the robot is energy limited, it must visit a subset of vertices before going back to the depot for recharging, while maximizing the total reward gained. It is known that the OASP for constrained aisle-graphs composed by m rows of length n is polynomially solvable in Om2n2) time, which can be prohibitive for graphs of large dimensions. With the goal of designing more time efficient solutions, we propose four algorithms that iteratively build the solution in a greedy manner. These solutions take at most O(mn(m + n)) time, thus improving the optimal solution by a factor of n. Experimentally, we show that these algorithms collect more than 80% of the optimum reward. For two of them, we also guarantee an approximation ratio of 12(1-1e) on the reward function by exploiting the submodularity property, where e is the base of the natural logarithm.

Meeting Name
16th Annual International Conference on Distributed Computing in Sensor Systems, DCOSS 2020 (2020: Jun. 15-17, On-line)
Department(s)
Computer Science
Research Center/Lab(s)
Center for High Performance Computing Research
Second Research Center/Lab
Intelligent Systems Center
International Standard Book Number (ISBN)
978-172814351-4
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2020 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
5-1-2020
Publication Date
01 May 2020
Disciplines
Citation Information
Francesco Betti Sorbelli, Federico Coro, Sajal K. Das, Alfredo Navarra, et al.. "Speeding-Up Routing Schedules on Aisle-Graphs" Proceedings of the 16th Annual International Conference on Distributed Computing in Sensor Systems (2020) (2020) p. 69 - 76
Available at: http://works.bepress.com/sajal-das/196/