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Robust single machine scheduling method based on interval uncertainty

A robust stand-alone, scheduling method technology for control/regulation systems, instruments, adaptive control, etc.

Active Publication Date: 2018-06-19
TSINGHUA UNIV
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Problems solved by technology

The selection of uncertain parameters and robust evaluation criteria are very diverse, but there is no related technology for single-machine scheduling problems based on release time uncertainty and optimizing the maximum waiting time

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  • Robust single machine scheduling method based on interval uncertainty
  • Robust single machine scheduling method based on interval uncertainty
  • Robust single machine scheduling method based on interval uncertainty

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Embodiment Construction

[0070] The present invention proposes a robust single-machine scheduling method based on interval uncertainty, which is described in further detail below in conjunction with specific embodiments.

[0071] The present invention proposes a robust single-machine scheduling method based on interval uncertainty, including the following steps:

[0072] 1) Construct a robust optimization model RSMSP for single-machine scheduling, which is composed of objective functions and constraints; the specific steps are as follows:

[0073] The present invention focuses on the single-machine scheduling problem with random release time (Job ReleaseTime, JRT). Considering that the workpiece release time is uncertain, seek a workpiece processing sequence that minimizes the maximum waiting time of a single workpiece, and establishes for this problem A robust optimization model RSMSP. In this problem, all workpieces are processed on one machine, and once the workpiece starts processing, it cannot be inter...

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Abstract

The invention provides a robust single machine scheduling method based on interval uncertainty, and belongs to the field of production scheduling and operations research. The method includes: establishing a robust optimization model RSMSP of single machine scheduling, wherein an optimization target is to search an optimal workpiece machining sequence to enable the maximum waiting time of the sequence to be minimum in a poorest scene; during solution, converting the model RSMSP to a mixed linear integer programming model P; and solving the model P by employing a two-stage heuristic solution algorithm to obtain the optimal machining sequence, namely an optimal scheme of robust single machine scheduling. According to the method, uncertain parameters are expressed by employing the mode of interval estimation, a method for recognizing finite possible poorest scenes in an infinite scene set, which is in more accordance with the production reality, is firstly proposed, and decision risks canbe reduced to the maximum and the system performance can be guaranteed in the condition of poor information.

Description

Technical field [0001] The invention belongs to the field of production scheduling and operations research, and particularly relates to a robust single-machine scheduling method based on interval uncertainty. Background technique [0002] Scheduling plays an important role in the production process, enabling enterprises to maximize economic benefits with minimal material consumption. At present, the scheduling work has penetrated into all aspects of manufacturing, logistics, and service industries, ensuring the efficient, orderly and low-cost operation of enterprise production and people's lives. Single machine scheduling means that when a factory or machine processes multiple products, a reasonable product processing sequence is specified to optimize system performance. In a multi-process production system, there are often some bottleneck processes. Using single-machine scheduling theory to optimize the processing sequence of workpieces in these processes can effectively improv...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 宋士吉岳凡张玉利
Owner TSINGHUA UNIV
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