Scheduling equal-length jobs with arbitrary sizes on uniform parallel batch machines

• Published in: Open mathematics (Warsaw, Poland) Vol. 21; no. 1; pp. 228 - 249
• Main Authors: Xin, Xiao, Khan, Muhammad Ijaz, Li, Shuguang
• Format: Journal Article
• Language: English
• Published: Warsaw De Gruyter 28.02.2023; De Gruyter Poland
• Subjects: 68Q25; 90B35; Algorithms; Approximation; equal job lengths; job sizes; makespan; Mathematical analysis; Scheduling; uniform parallel batch machines

We consider the problem of scheduling jobs with equal lengths and arbitrary sizes on uniform parallel batch machines with different capacities. Each machine can only process the jobs whose sizes are not larger than its capacity. Several jobs can be processed as a batch simultaneously on a machine, a...