Winner Determination for Simultaneous Multi-Robot Task Allocation

Multi-robot task allocation is an important problem for heterogeneous mobile robots. Simultaneous allocations with which multiple tasks are being allocated concurrently tend to lead to more efficient allocations than online or single task allocations. However, the simultaneous allocation also increases the complexity in the winner determination process, especially when robots are required to collaborate in order to accomplish certain tasks. This paper presents a winner determination algorithm for the simultaneous allocation of multirobot tasks. The complete approach layers a low-level coalition formation algorithm for solving one multi-robot task with a high-level simultaneous task allocation approach. We implement a tree-based winner determination algorithm with an iterative deepening A* (IDA*) search and show that the algorithm is able to generate the optimal task-coalition mapping in the initial round and the IDA* performs efficiently based on time and space complexities.