“…The notion of time constraint strictly speaking is not conventional and can be found in the literature under different denominations, namely queue time or process queue time (Wu, Lin, and Chien 2012;Kobayashi, Kuno, and Arima 2013;Wu et al 2016;Lee, Chen, and Wu 2005;Wu, Lin, and Chien 2010;Yurtsever, Kutanoglu, and Johns 2009), time window (Feng, Chu, and Che 2018;Cho et al 2014;Jung et al 2014), time lag or time link (Wang, Huang, and Li 2018;Maleck and Eckert 2017;Knopp, Dauzère-Pérès, and Yugma 2017). To the best of our knowledge, the term Time Constraint Tunnel has itself been introduced for the first time by Sadeghi et al (2015) and extended in our previous work (Lima et al 2017(Lima et al , 2019. Note that simpler representations of successions of TCs have been the subject of several publications, which either deal with only two consecutive time constraints (Wang, Huang, and Li 2018;Feng, Chu, and Che 2018;Wu, Lin, and Chien 2012;Maleck and Eckert 2017;Pappert et al 2016;Kitamura, Mori, and Ono 2006;Robinson 1998;Lee, Chen, and Wu 2005;Wu, Lin, and Chien 2010;Yurtsever, Kutanoglu, and Johns 2009;Jung et al 2014), or focus on a single critical TC under multiple process queue time constraints (Wu et al 2016).…”