{"paper":{"title":"Simpler and Better Algorithms for Minimum-Norm Load Balancing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Chaitanya Swamy, Deeparnab Chakrabarty","submitted_at":"2019-04-30T18:03:51Z","abstract_excerpt":"Recently, Chakrabarty and Swamy (STOC 2019) introduced the {\\em minimum-norm load-balancing} problem on unrelated machines, wherein we are given a set $J$ of jobs that need to be scheduled on a set of $m$ unrelated machines, and a monotone, symmetric norm; We seek an assignment $\\sg:J\\mapsto[m]$ that minimizes the norm of the resulting load vector $\\lvec_\\sg\\in\\R_+^m$, where $\\lvec_\\sg(i)$ is the load on machine $i$ under the assignment $\\sg$. Besides capturing all $\\ell_p$ norms, symmetric norms also capture other norms of interest including top-$\\ell$ norms, and ordered norms. Chakrabarty an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.00044","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}