Minimization of the maximal lateness for a single machine


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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.

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A. Lazarev

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

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Email: jobmath@mail.ru
俄罗斯联邦, Moscow; Moscow; Moscow; Dolgoprudnyi

D. Arkhipov

Trapeznikov Institute of Control Sciences

Email: jobmath@mail.ru
俄罗斯联邦, Moscow

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