COMPUTERS & OPERATIONS RESEARCH, cilt.28, sa.2, ss.127-137, 2001 (SCI-Expanded)
We address the problem of scheduling jobs with family setup times on identical parallel machines to minimize total weighted flowtime. We present two dynamic programming algorithms - a backward algorithm and a forward algorithm - and we identify characteristics of problems where each algorithm is best suited. We also derive two properties that improve the computational efficiency of the algorithms.