Variable neighborhood search-based algorithms for the parallel machine capacitated lot-sizing and scheduling problem

YILDIZ Ş. A., Ozcan S., Cevik N.

Journal of Engineering Research (Kuwait), 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.1016/j.jer.2023.100145
  • Journal Name: Journal of Engineering Research (Kuwait)
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Arab World Research Source, Directory of Open Access Journals
  • Keywords: Capacitated lot-sizing and scheduling problem, Constraint handling techniques, Heuristics, Parallel machines, Variable neighborhood descent, Variable neighborhood search
  • Dokuz Eylül University Affiliated: Yes


This paper addresses the capacitated lot-sizing and scheduling problem on parallel machines with eligibility constraints, sequence-dependent setup times, and costs. The objective is to find a production plan that minimizes production, setup, and inventory holding costs while meeting the demands of products for each period without delay for a given planning horizon. Since the studied problem is NP-hard, we proposed metaheuristic approaches, Variable Neighborhood Search, Variable Neighborhood Descent, and Reduced Variable Neighborhood Search algorithms to analyze their performance on the problem. Initially, we presented an initial solution generation method to satisfy each period's demand. Then, we defined insert, swap, and fractional insert moves for generating neighborhood solutions. We employed an adaptive constraint handling technique to enlarge the search space by accepting infeasible solutions during the search. Lastly, we performed computational experiments over the benchmark instances. The computational results show the effectiveness of the proposed solution approaches, compared to existing solution techniques in the literature, and the improvements in various problem instances compared to the best-known results.