Branch-and-bound approach for optima localization in scheduling multiprocessor jobsстатья
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Дата последнего поиска статьи во внешних источниках: 8 октября 2025 г.
Аннотация:We consider multiprocessor task scheduling problems with dedicated processors. We determine the tight optima localization intervals for different subproblems of the basic problem. Based on the ideas of a computeraided technique developed by Sevastianov and Tchernykh for shop scheduling problems, we elaborate a similarmethod for the multiprocessor task scheduling problem. Our method allows us to find an upper bound for the length of the optimal schedule in terms of natural lower bound. As a byproduct of our results, a family of linear-time approximation algorithms with a constant ratio performance guarantee is designed for the NP-hard subproblems of the basic problem, and new polynomially solvable classes of problems are found.