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A Method in Constructing a No-Waits and No-Interruptions Periodic Schedule for the Transport Robots of the Flexible Automatic Lines

Authors: Ptuskin A.S. Published: 17.11.2025
Published in issue: #5(122)/2025  
DOI:

 
Category: Mathematics and Mechanics | Chapter: Mathematical Simulation, Numerical Methods and Software Packages  
Keywords: periodic schedule, flexible automated lines, transport robots, mathematical model, prohibited interval method

Abstract

Mathematical simulation makes it possible to find optimal solutions to various manufacture problems. An important class of such problems includes scheduling, which involves allocating limited resources in production operations and is related to the discrete optimization problems. Particularly important is efficient scheduling of the expensive equipment, such as the flexible production lines widely used in the industries to improve productivity, flexibility, and safety in manufacture. Managing them raises a variety of complex scheduling issues. The paper considers a problem of constructing a periodic schedule for the flexible automated production line with multiple robots ensuring its no-waits and no-interruptions. The objective lies in finding a periodic schedule for the robots that minimizes the cycle time. Unlike studies that impose the artificial and simplified operating conditions for an automated line, the paper accounts for the real-world requirements, such as robots moving along a single path and avoiding collisions. It proposes a modification to the prohibited interval method in constructing schedules with several robots. The new model provides efficient schedules for the real-world manufacture systems. A numerical example is presented to demonstrate the new method

Please cite this article in English as:

Ptuskin A.S. A method in constructing a no-waits and no-interruptions periodic schedule for the transport robots of the flexible automatic lines. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2025, no. 5 (122), pp. 24--40 (in Russ.). EDN: TYIGHH

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