2026-06-30T04:06:48Zhttps://repisalud.isciii.es/rest/oai/requestoai:repisalud.isciii.es:20.500.12105/204582024-11-28T21:55:24Zcom_20.500.12105_15322com_20.500.12105_2051col_20.500.12105_16967
Repisalud
author
Guerrero, Jose
author
Miñana, Juan-José
author
Valero, Oscar
author
Oliver, Gabriel
2024-07-11T09:10:45Z
2024-07-11T09:10:45Z
2017-10
Guerrero J, Miñana Prats JJ, Valero O, Oliver G. Indistinguishability Operators Applied to Task Allocation Problems in Multi-Agent Systems. Appl Sci-Basel. 2017 Oct;7(10):963.
10.3390/app7100963
2076-3417
Applied Sciences-Basel
http://hdl.handle.net/20.500.13003/9619
2-s2.0-85029787156
http://hdl.handle.net/20.500.12105/20458
414457800001
In this paper we show an application of indistinguishability operators to model response functions. Such functions are used in the mathematical modeling of the task allocation problem in multi-agent systems when the stimulus, perceived by the agent, to perform a task is assessed by means of the response threshold model. In particular, we propose this kind of operators to represent a response function when the stimulus only depends on the distance between the agent and a determined task, since we prove that two celebrated response functions used in the literature can be reproduced by appropriate indistinguishability operators when the stimulus only depends on the distance to each task that must be carried out. Despite the fact there is currently no systematic method to generate response functions, this paper provides, for the first time, a theoretical foundation to generate them and study their properties. To validate the theoretical results, the aforementioned indistinguishability operators have been used to simulate, with MATLAB, the allocation of a set of tasks in a multi-robot system with fuzzy Markov chains.
eng
Task allocation
Multi-agents
Multi-robot
Swarm
Response function
t-norm
Additive generator
Indistinguishability operator
Distance
Indistinguishability Operators Applied to Task Allocation Problems in Multi-Agent Systems
research article