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This article presents an approximation algorithm for a task allocation,sequencing and scheduling problem involving a team of human operators androbots. Specifically, we present an algorithm with an approximation ratio as afunction of the number of human operators ($m$) and the number of robots ($k$)in the team. The approximation ratios are $\frac{7}{2} -\frac{5}{2k}$,$\frac{5}{2} -\frac{1}{k}$ and $\frac{7}{2} -\frac{1}{k}$ when $m=1$, $m\geqk\geq 2$ and $k>m\geq 2$ respectively. We also present computational results tocorroborate the performance of the proposed approximation algorithm.

An Approximation Algorithm for a Task Allocation, Sequencing and Scheduling Problem involving a Human-Robot Team