An Auction-Based Task Allocation Algorithm in Heterogeneous Multi-Robot System

Today, robots are facing dynamic, real-time, complex adversarial, and stochastic work environment. It’s of great significance to research on task allocation problem in multi-robot system. In this paper, we propose a dynamic auction method for differentiated tasks under cost rigidities (DAMCR) which can find the optimal result in a static auction between robots and tasks. Then we analyze the optimality of DAMCR. Considering the dynamics of the system, we propose a partition-based task allocation adjustment method via distributed approach. To verify the effectiveness of the proposed scheme, we compare it with other task allocation methods based on classic Hungarian algorithm. In the experiments, we analyze the impact of the number of tasks and robots on the running time and robustness of the methods. The results suggest that our solution outperforms others, that is, robots can accomplish tasks faster and more effectively.

[1]  Shuwen Zhang,et al.  Using auction-based task allocation scheme for simulation optimization of search and rescue in disaster relief , 2018, Simul. Model. Pract. Theory.

[2]  Max Q.-H. Meng,et al.  A Hierarchical Auction-Based Mechanism for Real-Time Resource Allocation in Cloud Robotic Systems , 2017, IEEE Transactions on Cybernetics.

[3]  Minglu Li,et al.  A Double Auction Mechanism to Bridge Users’ Task Requirements and Providers’ Resources in Two-Sided Cloud Markets , 2018, IEEE Transactions on Parallel and Distributed Systems.

[4]  T. Martin McGinnity,et al.  A Distributed Task Allocation Algorithm for a Multi-Robot System in Healthcare Facilities , 2015, J. Intell. Robotic Syst..

[5]  Ali Asghar Alesheikh,et al.  Agent-based task allocation under uncertainties in disaster environments: An approach to interval uncertainty , 2017 .

[6]  Rahul Garg,et al.  Auction Algorithms for Market Equilibrium , 2006, Math. Oper. Res..

[7]  Sameera S. Ponda,et al.  Distributed chance-constrained task allocation for autonomous multi-agent teams , 2012, 2012 American Control Conference (ACC).

[8]  J. Christopher Beck,et al.  A Constraint Programming Approach to Multi-Robot Task Allocation and Scheduling in Retirement Homes , 2016, CP.

[9]  Min Yao,et al.  Multi-Robot Coordination in Complex Environment with Task and Communication Constraints , 2013 .

[10]  Manoj Kumar Tiwari,et al.  Balancing task allocation in multi-robot systems using K-means clustering and auction based mechanisms , 2011, Expert Syst. Appl..