基于凸重构的精确二次规划方法求解血清调度问题

Zhe Zhang, Xiaoling Song, Xue Gong, Yong Yin, Benjamin Lev, Xiaoyang Zhou
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引用次数: 11

摘要

本文以某工厂的实际生产调度问题为背景,研究了服务型生产系统(SPS)中的调度问题。Seru是一种相对较新的生产模式,起源于日本,并为生产实践带来了鼓舞人心的效益。遵循SPS的准时化思想,servu调度问题的目标是最小化提前和延迟惩罚的总和。考虑了两种常见的作业到期日类型,并将该问题形式化为具有线性约束的0-1二次规划模型,然后使用凸重新形式化方法对其进行重新形式化以保证其凸性。进行了计算实验。实验结果表明,所提出的精确解方法能够有效地求解多任务调度问题的近似最优解。
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An exact quadratic programming approach based on convex reformulation for seru scheduling problems
Motivated by a practical production scheduling problem at a factory, this article studies scheduling problems in seru production system (SPS). Seru is a relatively new‐type production mode originating in Japan and has brought inspiring benefits to production practice. Following the just‐in‐time philosophy of SPS, the objective of seru scheduling problem is to minimize the sum of earliness and tardiness penalties. Two common due date types of job are considered, and the seru scheduling problem is formulated as a 0–1 quadratic programming model with linear constraints that is then reformulated using convex reformulation methods to ensure convexity. Computational experiments are implemented. Experimental results indicate that the proposed exact solution method can obtain approximate optimal solutions efficiently and effectively for seru scheduling problems.
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