Key Laboratory of Computational Mathematics and Applications of Hebei Province

Shijiazhuang, China

Key Laboratory of Computational Mathematics and Applications of Hebei Province

Shijiazhuang, China
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Li P.,Hebei Normal University | Tao Y.,Hebei University of Technology | Cai B.,Hebei Normal University | Zhang Z.,Hebei Normal University | And 2 more authors.
International Journal of Industrial and Systems Engineering | Year: 2017

The period of processing of multi-entry and multi-outlet serial production line is studied in this paper. The computational algorithms of production periods of multi-entry and multi-outlet serial production line under non-blocking optimal control are given. The algorithms contain the computational algorithms of production periods of single-entry and single-outlet, single-entry and multi-outlet, multi-entry and single-outlet serial production lines, as the special cases. The algorithms based on max-plus algebra are constructive. A numerical example is provided to illustrate the computational algorithms. © 2017 Inderscience Enterprises Ltd.

Zhang H.,Hebei University of Technology | Zhang H.,Hebei Normal University | Tao Y.,Hebei University of Technology | Zhang Z.,Hebei Normal University | Zhang Z.,Key Laboratory of Computational Mathematics and Applications of Hebei Province
Systems and Control Letters | Year: 2016

This paper considers the strong solvability of interval max-plus systems. The solvable entry and solvable interval are introduced to establish the necessary and sufficient condition for strong solvability of interval max-plus systems. It is proved that such a criterion is equivalent to the criterion proposed by Cechlárová and Cuninghame-Green. The interval strong solution of interval max-plus systems is described and the necessary and sufficient condition for uniquely strong solvability is given. The method of testing strong solvability of interval max-plus systems is constructive and leads to an effective algorithm. To illustrate our results, a workshop optimal control problem is addressed. © 2016 Elsevier B.V.

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