The present paper studies the effect of inexact computations on the effecti
veness of the routing version of dynamic programming in the problem of bypa
ssing sections of multivalued mappings. We study a specific definition of t
he general routing procedure in the bypass problem for substantially nonsta
tionary performance indices and "reachability domains" when the sequential
motion in the space of problems along the paths that are formed in conformi
ty with the route being realized under conditions of several possible passa
ges from the solution of one problem to the solution of the other. The meth
ods thus developed can be applied to the problems of freight transportation
and of locating radio equipment components on printed circuit boards, etc.