Cross-sections of Milnor fibrations and Motion planning

Consider a fibration $$p:E\to S^{p-1}$$ with fiber $F$. We have the following natural question: Under what conditions does this fibration admit a cross-section? Our purpose is to discuss this problem when the fibration $p$ is the Milnor fibration $f_{\mid}:f^{-1}(S^{p-1}{\delta})\cap D^{n}{\epsilon}\to S^{p-1}_{\delta}$withMilnorfiber$F_f$ and the Milnor fibration of arrangements $Q:\mathcal{M}(\mathcal{A})\to {\mathbb{C}}^{\ast }$ with fiber $F=F(\mathcal{A})$. Furthermore, we use our results to study the tasking planning problem for the Milnor fibration as a work map and we give the tasking algorithms.