Lack of Network Processors

Without network processors PEs cannot compute and communicate simultaneously. Therefore, a processor starts processing its share of data after having sent the unneeded load to its idle neighbors. Hence, equations (1) should be modified in the following way:

$$\alpha_iA_i\!\!\! = S_{i+1}\!+\!(\alpha_{i+2}\!+\!\dots\!+\!\alpha_m)C_{i+1} \!+\!\alpha_{i+1}A_{i+1}, {\rm\hspace{2mm}}i\!=\!1,\dots,m-2$$

$$\alpha_{m-1}A_{m-1}\!\!\! = \alpha_mA_m$$ (3)