In this paper we study the permutation flowshop scheduling problem with an
increasing and decreasing series of dominating machines. The objective is t
o minimize one of the five regular performance criteria, namely, total weig
hted completion time, maximum lateness, maximum tardiness, number of tardy
jobs and makespan. We establish that these five cases are solvable by prese
nting a polymonial-time solution algorithm for each case. (C) 2000 Elsevier
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