Critical path-combined hybrid neighborhood search algorithm for job-shop scheduling
A critical path and job shop technology, applied in the field of job shop scheduling combination optimization, can solve problems such as computing time and memory limitations, insufficient diversity, complex combination of multiple algorithms, etc., to save time cost and memory cost, and avoid duplication Search, avoid the effect of neighborhood movement
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[0013] 1. Job shop scheduling problem description
[0014] combine figure 1 Represents a 3*3 JSP instance, the job shop problem (JSP) can be described as n workpieces {J i |(i=1, 2, ..., n)} on m machines {M k |(k=1, 2,..., m)} upper processing, O ik Indicates the workpiece J i On device M k The upper processing procedure. Constraints that need to be met during workpiece processing include: Process O ik The processing time p ik It is known in advance, and there is no process preemption, that is, once the process starts processing on the machine, it cannot be interrupted until it is completed; J i Can only be processed on one device at a time; M k Only one workpiece can be processed at a time. The goal is to satisfy all priority and capacity constraints, and to determine the starting processing time (rt ik ≥0).
[0015]
[0016] Constraints: rr jk -rt ik ≥p ik (i, j) ∈ J, k ∈ M
[0017] rt jk -rt ik ≥p ik ∪rt jk -rt ik ≥p ik
[0018] rt ik ≥0
[0019]...
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