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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2008 Volume 150, Book 4, Pages 154–161 (Mi uzku710)

Pseudopolynomial Approximation Algorithm for Solving the $NP$-Complete Problem of Minimizing Maximum Lateness

O. N. Shulgina, N. K. Sherbakova

Chair of Economic Cybernetics of Kazan State University

Abstract: The article states and proves pseudopolynomial complexity approximation algorithm for solving the scheduling theory known as $NP$-complete problem, namely minimizing maximum lateness on a single machine, interruption in job processing being banned. The bound value absolute error of criterion function for schedule constructed by algorithm is received.

Keywords: schedule, lateness, pseudopolynomial algorithm, $NP$-complete, complexity.

UDC: 519.854

Received: 01.10.2008



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