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arXiv · 1212.1609

The 2-valued case of makespan minimization with assignment constraints

Stavros G. Kolliopoulos·Yannis Moysoglou
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Abstract

We consider the following special case of minimizing makespan. A set of jobs $J$ and a set of machines $M$ are given. Each job $j \in J$ can be scheduled on a machine from a subset $M_j$ of $M$. The processing time of $j$ is the same on all machines in $M_j.$ The jobs are of two sizes, namely $b$ (big) and $s$ (small). We present a polynomial-time algorithm that approximates the value of the optimal makespan within a factor of 1.883 and some further improvements when every job can be scheduled on at most two machines.

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Stavros G. Kolliopoulos, Yannis Moysoglou. 2012-12-07. The 2-valued case of makespan minimization with assignment constraints. https://arxiv.org/abs/1212.1609

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