  This work aims to jointly optimize the coding and node selection to minimize
the processing time for distributed computing tasks over wireless edge
networks. Since the joint optimization problem formulation is NP-hard and
nonlinear, we leverage the discrete characteristic of its decision variables to
transform the problem into an equivalent linear formulation. This linearization
can guarantee to find the optimal solutions and significantly reduce the
problem's complexity. Simulations based on real-world datasets show that the
proposed approach can reduce the total processing time up to 2.3 times compared
with that of state-of-the-art approach.
