About: High-level Optimisation of Energy Consumption of the Robotic Line with Respect to Production Cycle Time using Integer Linear Programming and Lagrangian Relaxation     Goto   Sponge   NotDistinct   Permalink

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  • The energy consumption of robotic lines, which are extensively used in industry for welding, assembling and painting, can entail considerable expenditures for manufacturing processes resulting in more expensive products, therefore it is no wonder that industrial companies are getting more and more interested in finding energy efficient solutions. In our work we propose a completely novel mathematical formulation of the energy optimisation problem for robotic lines. In contrast to the existing works our solution considers different trajectories of robots, gravity and order of robot operations from the global point of view. Moreover, our mathematical formulation takes into account the robot's power save modes (e.g. using brakes or bus-power-off) to save even more energy. The optimal solution to the problem is the one which is both the most energy efficient and meeting the desired production cycle time. As our approach is high-level, the point-to-point robot's movements for different speeds and trajectories have to be simulated by an external tool and used as an input for our algorithm. Having had the line structure and data from simulations the problem can be solved using Integer Linear Programming. The large-scale ILP problem is tackled by using the Lagrangian relaxation method that decomposes it into smaller sub-problems corresponding to individual robots. The preliminary results on generated instances confirmed the correctness of the proposed model and revealed a high potential for reducing energy consumption of robotic lines.
  • The energy consumption of robotic lines, which are extensively used in industry for welding, assembling and painting, can entail considerable expenditures for manufacturing processes resulting in more expensive products, therefore it is no wonder that industrial companies are getting more and more interested in finding energy efficient solutions. In our work we propose a completely novel mathematical formulation of the energy optimisation problem for robotic lines. In contrast to the existing works our solution considers different trajectories of robots, gravity and order of robot operations from the global point of view. Moreover, our mathematical formulation takes into account the robot's power save modes (e.g. using brakes or bus-power-off) to save even more energy. The optimal solution to the problem is the one which is both the most energy efficient and meeting the desired production cycle time. As our approach is high-level, the point-to-point robot's movements for different speeds and trajectories have to be simulated by an external tool and used as an input for our algorithm. Having had the line structure and data from simulations the problem can be solved using Integer Linear Programming. The large-scale ILP problem is tackled by using the Lagrangian relaxation method that decomposes it into smaller sub-problems corresponding to individual robots. The preliminary results on generated instances confirmed the correctness of the proposed model and revealed a high potential for reducing energy consumption of robotic lines. (en)
Title
  • High-level Optimisation of Energy Consumption of the Robotic Line with Respect to Production Cycle Time using Integer Linear Programming and Lagrangian Relaxation
  • High-level Optimisation of Energy Consumption of the Robotic Line with Respect to Production Cycle Time using Integer Linear Programming and Lagrangian Relaxation (en)
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  • High-level Optimisation of Energy Consumption of the Robotic Line with Respect to Production Cycle Time using Integer Linear Programming and Lagrangian Relaxation
  • High-level Optimisation of Energy Consumption of the Robotic Line with Respect to Production Cycle Time using Integer Linear Programming and Lagrangian Relaxation (en)
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  • RIV/68407700:21230/14:00217680!RIV15-MSM-21230___
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  • robotic lines; energy; Lagrangian relaxation; Integer Linear Programming (en)
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