A metric for total tardiness minimization


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Abstract

In this paper we consider the NP-hard 1|rjTj scheduling problem, suggesting a polynomial algorithm to find its approximate solution with the guaranteed absolute error. The algorithm employs a metric introduced in the parameter space. In addition, we study the possible application of such an approach to other scheduling problems.

About the authors

A. A. Lazarev

Trapeznikov Institute of Control Sciences; Lomonosov State University; Moscow Institute of Physics and Technology; Higher School of Economics (National Research University)

Author for correspondence.
Email: jobmath@mail.ru
Russian Federation, Moscow; Moscow; Moscow; Moscow

P. S. Korenev

Trapeznikov Institute of Control Sciences; Lomonosov State University

Email: jobmath@mail.ru
Russian Federation, Moscow; Moscow

A. A. Sologub

Trapeznikov Institute of Control Sciences; Lomonosov State University

Email: jobmath@mail.ru
Russian Federation, Moscow; Moscow


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