Mean-performance of sharp restart: II. Inequality roadmap

Abstract Restarting a deterministic process always impedes its completion. However, it is known that restarting random can lead to an opposite outcome—expediting Hence, the effect of restart contingent on underlying statistical heterogeneity process’ completion times. To quantify this we introduce novel approach research: methodology inequality indices, which widely applied in economics and social sciences measure income wealth disparities. Utilizing establish ‘inequality roadmap’ for mean-performance sharp restart: whole new set universal criteria determine when with timers (i.e. fixed timers) impedes/expedites mean The are based key Lorenz-curve indices including Bonferroni, Gini, Pietra. From practical perspective, offer researchers highly useful tools tackle common real-world situation only partial information completion-time statistics available. theoretical yield—with unprecedented precision resolution—a powerful overarching take-home-message: low/high, respectively. As match any other protocol, results established here apply research at large.