Minimization of the maximal lateness for a single machine


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Resumo

Consideration was given to the classical NP-hard problem 1|rj|Lmax of the scheduling theory. An algorithm to determine the optimal schedule of processing n jobs where the job parameters satisfy a system of linear constraints was presented. The polynomially solvable area of the problem 1|rj|Lmax was expanded. An algorithm was described to construct a Pareto-optimal set of schedules by the criteria Lmax and Cmax for complexity of O(n3logn) operations.

Sobre autores

A. Lazarev

Trapeznikov Institute of Control Sciences; National Research University Higher School of Economics; Lomonosov State University; Moscow Physical and Technical Institute

Autor responsável pela correspondência
Email: jobmath@mail.ru
Rússia, Moscow; Moscow; Moscow; Dolgoprudnyi

D. Arkhipov

Trapeznikov Institute of Control Sciences

Email: jobmath@mail.ru
Rússia, Moscow

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