A Hybrid VNS with TS for the Single Machine Scheduling Problem to Minimize the Sum of Weighted Tardiness of Jobs

This paper presents a hybrid variable neighborhood search (VNS) with tabu search for the single machine scheduling problem to minimize the sum of weighted tardiness of jobs, a well-known strongly NP-hard problem. In this algorithm, a pool of many solutions is used in the VNS to simultaneously generate multiple trial solutions to improve the search diversification and a tabu search is incorporated in the local search procedure of VNS to improve the search intensification. Computational results show that the proposed VNS algorithm can obtain good solutions for all standard benchmark problems.

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