Abstract
The organization of flow production, which is typical found in assembly processes, involves a repetitive, fixed-takt time flow of same-size production batches. The cyclic nature of the production flow, which ensures a steady production rhythm, enables just-in-time planning and organization of the associated supply chains. Disruptions in the operation of machinery and equipment, which occur in practice, lead to deviations from nominal operation times. These types of local disturbances lead to changes in production takt time, making it necessary to adjust previously created schedules for delivery/reception of materials and products. Assuming that a control action can be taken to adjust transport operation times within a specified time range, the problem of cyclic scheduling of production flows boils down to seeking conditions the satisfaction of which will guarantee robustness to this kind of disruptions. Satisfaction of robustness conditions allows a return to the nominal production takt time and appropriate adjustment of the production flow trajectory (which makes it possible for the system to return to the previously scheduled delivery times). Numerous examples are included to illustrate the principles of the proposed research methodology aimed at finding solutions for robust scheduling of fixed-takt time production flow.
Highlights
Cyclic scheduling is known to be one of the most effective methods of operational planning in transport and production systems.[1]
The problems of reachability of cyclic steady states considered in an system of local concurrent cyclic processes (SCCPs) environment fall into the category of cyclic scheduling problems, and in particular the problems associated with planning of concurrent multimodal processes
The experiments performed in this study indicate that correction of a disturbance is possible only in cases where the disturbance does not interfere with the location and load of the bottleneck. This observation allows a formulation of the following condition: If a disruption in workstation operation time occurring on the workstation of a SCCP that is the bottleneck of this SCCP results in an increase in production takt time T, a cyclic steady state that allows for appropriate correction of the disruption is not reachable in this system
Summary
Cyclic scheduling is known to be one of the most effective methods of operational planning in transport and production systems.[1]. The problems of reachability of cyclic steady states considered in an SCCP environment fall into the category of cyclic scheduling problems, and in particular the problems associated with planning of concurrent multimodal processes (of different nature and character) As such, they are of vital importance to the performance of systems for production, urban transport, digital communications and so on. Assuming that a control action can be taken to adjust transport operation times within a specified time range, the problem reduces to seeking conditions which, when satisfied, will guarantee robustness to disruptions understood as the ability of the system to return to the nominal cyclic state Such conditions guarantee a return to the nominal cyclic steady state (with a specified production takt time and cycle period) and appropriate adjustment of the production flow trajectory (allowing a return to scheduled delivery times).
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