Search Algorithms for a System of Different Representatives of Subsets of a Finite Set

The paper considers various aspects and approaches regarding the search for a system of differenrt representatives (SDR) subsets finite set. Algorithm 3 has been developed, which is an algorithmization process SDR on basis Hall's theorem existence SDR. Algorithms 1-5 searching partial complete SDRs based technology solving problems transport type, in particular, algorithm associated with construction cycles, are given. algorithms can be used as auxiliary tools combinatorial problems. It also shown, conversely, that considered optimization problem.
 Mathematics Subject Classification – MSC2020: 90-08, 90B06, 90C27