id author title date pages extension mime words sentence flesch summary cache txt iajs-3094 kalaf, Bayda Atiya; Nagham Muosa Neamah; Khalifa , Hamiden Abd El-Wahed Solving the Multi-Criteria, Total Completion Time, Total Earliness Time, and Maximum Tardiness Problem 2024 17 .pdf application/pdf 7483 431 81 Proof: let 𝛽 be an optimal schedule for 1// βˆ‘πΆπ‘— + βˆ‘πΈπ‘— + π‘‡π‘šπ‘Žπ‘₯ problem. proof: Let 𝑠𝑗 = 𝑑𝑗 βˆ’ 𝑝𝑗 be the slack time of the job j (𝑗 = 1,… , 𝑛) since 𝑑𝑗 = π‘˜π‘π‘— then 𝑠𝑗 = π‘˜π‘π‘— βˆ’ 𝑝𝑗 = (π‘˜ βˆ’ 1)𝑝𝑗. cache/iajs-3094.pdf txt/iajs-3094.txt