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Showing papers by "Flip Klijn published in 2001"


Posted Content
TL;DR: In this article, the authors considered a special class of sequencing situations with two parallel machines in which each agent has precisely two jobs to be processed, one on each machine, and the costs of an agent depend linearly on the final completion time of his jobs.
Abstract: This paper considers a special class of sequencing situations with two parallel machines in which each agent has precisely two jobs to be processed, one on each machine.The costs of an agent depend linearly on the final completion time of his jobs.We describe a procedure that provides an optimal processing order of the jobs.Furthermore, we study cooperative games arising from these sequencing situations.Our main result is balancedness of these games.

10 citations


Posted Content
TL;DR: In this article, the dual egalitarian solution of Dutta and Ray (1989) for convex games was shown to coincide with the dual-egalitarian solution for dual concave games.
Abstract: In this note we introduce an egalitarian solution, called the dual egalitarian solution, that is the natural counterpart of the egalitarian solution of Dutta and Ray (1989). We prove, among others, that for a convex game the egalitarian solution coincides with the dual egalitarian solution for its dual concave game.

1 citations