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problem schedule batch algorithm value processing scheduling completion programming completion time lagrangian instance solution number machine column processing time relaxation section generation column generation hoogeveen constraint order velde partition objective column generation algorithm function 1998 john wiley vector lagrangean processing times heuristic weight programming relaxation research proof solution value programming algorithm result np-hard velde / lagrangian problem lagrangean relaxation multiplier operation polynomial state job jj precedence constraints point 0.00 polynomial time class variable condition theorem van den akker objective function pricing interchange sense method completion times formulation integer model bound trade-o curve batch k precedence lagrangian relaxation lemma processor 3- partition tardiness copyright © 1999. inequality job completion times