Abstract
We solve a single-robot m-machine cyclic scheduling problem arising in flexible manufacturing systems served by computer-controlled robots. The problem is to find the minimum cycle time for the so-called 2-cyclic (or “2-degree”) schedules, in which exactly two parts enter and two parts leave the production line during each cycle. An earlier known polynomial time algorithm for this problem was applicable only to the Euclidean case, where the transportation times must satisfy the “triangle inequality”. In this paper we study a general non-Euclidean case. Applying a geometrical approach, we construct a polynomial time algorithm of complexity O(m 5 log m).
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Kats, V., Levner, E. (2006). A Polynomial Algorithm for 2-Cyclic Robotic Scheduling. In: Gelbukh, A., Reyes-Garcia, C.A. (eds) MICAI 2006: Advances in Artificial Intelligence. MICAI 2006. Lecture Notes in Computer Science(), vol 4293. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11925231_41
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DOI: https://doi.org/10.1007/11925231_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-49026-5
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