Online load balancing with general reassignment cost

Berndt, Sebastian; Eberle, Franziska; and Megow, Nicole (2022) Online load balancing with general reassignment cost. Operations Research Letters, 50 (3). 322 - 328. ISSN 0167-6377
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We investigate a semi-online variant of load balancing with restricted assignment. In this problem, we are given n jobs, which need to be processed by m machines with the goal to minimize the maximum machine load. Since strong lower bounds rule out any competitive ratio of o(log⁡n), we may reassign jobs at a certain job-individual cost. We generalize a result by Gupta, Kumar, and Stein (SODA 2014) by giving a O(log⁡log⁡mn)-competitive algorithm with constant amortized reassignment cost.

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