Correction to: The green marine waste collector routing optimization with puma selection-based neighborhood search algorithm (Cluster Computing, (2025), 28, 2, (80), 10.1007/s10586-024-04812-w)

In this article under the section heading “3.2 The proposed mathematical model” instead of reference citation number, the below citation coding tag appears in the text. The Citation has been now corrected. ‘‘The vessel routing optimization problem can be expressed as a complete graphG ¼ ð Þ N; E, where N is the set of nodes and E is the set of edges connecting these nodes. In this graph, the set of nodes can be divided into N = N_1[ ADDIN EN.CITE \EndNote[\Cite ExcludeYear=“1”[\Author[Abdollahzadeh\/Author[\Year[2022\/Year[ \RecNum[338\/RecNum[\record[\rec-number[338 \/rec-number[\foreign-keys[\key app=“EN”db-id=“ew00atfflefewrevtzgpwevbtepefwdrzvp0”timestamp=“1707982894”[338\/key[\/foreign-keys[\ref-type name=“Journal Article”[17\/ref-type[\contributors[\authors[\author[Abdollahzadeh, Benyamin\/author[\author[Gharehchopogh, Farhad Soleimanian\/author[\author[Khodadadi, Nima\/author[\author[Mirjalili, Seyedali\/author[\/authors[\/contributors[\titles[\title[ Mountain gazelle optimizer: A new nature-inspired metaheuristic algorithm for global optimization problems \/title[\secondary-title[Advances in Engineering Software\/secondary-title[\/titles[\periodical[\full-title[ Advances in engineering software\/full-title[\/periodical[\pages[103282\/pages[\volume[174\/volume[\dates[\year[2022\/year[\/dates[\isbn[0965–9978 \/isbn[\urls[\/urls[\/record[\/Cite[\/EndNote[[{m? 1} where N1 ¼ f1; 2;; mg is the subset of predicted debris positions while 0 and m? 1 indicate the ‘origin’ and ‘destination’ ports”. The original article has been corrected.