Irina N. Lushchakova

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The paper studies the problem of scheduling tasks on two machines to minimize the makespan. The tasks are assigned to the machine in advance. An incompatibility relation is defined over the tasks which forbids any two incompatible tasks to be processed at the same time. The problem can serve as a mathematical model for some batching problems in which the(More)
We consider a scheduling problem with two parallel machines to minimize the sum of total weighted completion time and total machine time slot cost. In this paper we focus on the case of the constant or linear decreasing sequences of time slot costs. We suggest an exact pseudopolynomial DP algorithm for the case of arbitrary integer processing times of jobs.(More)
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