Abstract

The paper considers two-agent simultaneous optimization problems on an unbounded serial-batching machine, in which the objective function of agent A is either the maximum lateness or the total completion time and that of agent B is makespan. The above two problems have O(nB+nA4)-time algorithm and O(nAnB+nA4)-time algorithm respectively, where nX is the number of jobs owned by agent X(X∈{A,B}). In the paper, the running time of the two algorithms is improved to be O(nB+nA2lognA) time.

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