S. Webster et M. Azizoglu, Dynamic programming algorithms for scheduling parallel machines with family setup times, COMPUT OPER, 28(2), 2001, pp. 127-137
We address the problem of scheduling jobs with family setup times on identi
cal parallel machines to minimize total weighted flowtime. We present two d
ynamic programming algorithms - a backward algorithm and a forward algorith
m - and we identify characteristics of problems where each algorithm is bes
t suited. We also derive two properties that improve the computational effi
ciency of the algorithms.