---
author: Umesh Malik
canonical: "https://umesh-malik.com/blog/rebalance-shards-across-servers"
description: "Rebalance shards across servers without hand-rolling a solver. Meta's Rebalancer places 265k objects in 12s p99 — and the MIP it replaces needs 848M variables."
image: "/blog/rebalance-shards-across-servers-cover.svg"
imageAlt: "Dashboard-style cover showing an assignment-problem pipeline from objects and containers through specs to a local-search solver, with a 265,000-object, 12-second result"
publishDate: "2026-09-22"
category: "Web Engineering"
keywords: rebalance shards across servers, assignment problem solver, Rebalancer Meta open source, shard placement algorithm, local search vs MIP solver
primaryKeyword: rebalance shards across servers
secondaryKeywords:
- assignment problem solver python
- shard placement algorithm
- local search vs MIP solver
- Meta Rebalancer open source
- capacity constraint solver
featured: false
published: true
readingTime: "8 min read"
tags:
- Distributed Systems
- Infrastructure
- Open Source
- Optimization
- Python
title: "Rebalance shards across servers in production: 265k objects in 12s"
geoHooks:
  - "What is Rebalancer, and which problem does it actually solve?"
  - "How to rebalance shards across servers with Rebalancer"
  - "Local search vs a MIP solver: which one fits your problem size?"
  - "What breaks if you rebalance greedily instead?"
faq:
  - q: "Do I need a commercial solver license to use Rebalancer?"
    a: "No. The optimal solver path compiles your model into a Mixed Integer Program that can run on HiGHS, which is open source, alongside the commercial Gurobi and FICO Xpress backends. The local-search solver needs no external solver at all, and that is the path Meta uses for its largest problems anyway."
  - q: "How large a fleet can the local-search solver actually handle?"
    a: "Meta reports averaging 171 seconds on problems with more than a million objects across 5,000 containers, and runs over 3,400 of those per day. The reason it scales is that each search step evaluates a neighborhood of about objects-plus-containers candidate moves, not the objects-times-containers decision matrix a MIP has to build. Practically, the limit you hit first is usually how long you are willing to wait, not the model size."
  - q: "Is this only useful for sharded databases?"
    a: "No — sharding is just the most recognizable instance. Meta runs the same library for assigning servers to services, routing edge traffic to datacenters, grouping serverless functions for locality, and balancing online ML training workloads. Anything shaped as put these N things into these M places without violating constraints is the same problem."
  - q: "How do I stop a rebalance from moving everything at once?"
    a: "Model churn as a cost rather than trying to bolt on a limit afterwards. You seed the solver with the current assignment through set_assignment, then express movement as something the objective penalizes, so a move has to buy more balance than it costs in disruption. A solver that does not know the current placement will happily return a mathematically better layout that is operationally a full reshuffle."
  - q: "What is the difference between a constraint and an objective here?"
    a: "A constraint is a hard rule the solution must satisfy, like a container never exceeding its memory dimension. An objective is what gets optimized once the hard rules hold, such as spreading a dimension evenly across containers. Getting this split wrong is the most common modeling mistake: encoding a preference as a constraint is how you end up with an infeasible problem and no solution at all."
---

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**TL;DR** You can now rebalance shards across servers with the solver Meta runs 40 million times a day: Rebalancer, open-sourced in September 2026 under Apache 2.0. Its local-search engine explores a neighborhood of roughly 268,200 candidate moves instead of the 848 million binary variables the equivalent Mixed Integer Program would need, which is how a 265,000-object, 3,200-container placement lands in 12 seconds at p99. Model your fleet as objects, containers, dimensions and specs, then pick the solver that matches your scale.

## What is Rebalancer, and which problem does it actually solve?

**Rebalancer is a domain-specific language for assignment problems: putting N objects into M containers while satisfying hard constraints and optimizing something you care about.** Meta [open-sourced it on September 21, 2026](https://engineering.fb.com/2026/09/21/open-source/rebalancer-generic-high-performance-library-assignment-problems/) under Apache 2.0, with a Python package on PyPI.

That description sounds abstract until you notice how many infrastructure problems have exactly that shape. Shards to database servers. Servers to services. Edge traffic to backend datacenters. Serverless functions grouped for locality. Online ML training workloads spread across a pool. Meta reports running 40 million of these problems a day across more than 30 distinct formulations — an average of about 463 solves per second, every second.

The reason this matters more than another optimization library: most teams write this logic by hand. A greedy loop that picks the emptiest host, plus a tie-breaker, plus a special case for the rack-diversity rule someone added in 2023. It works until the constraint list grows, and then nobody can say whether the placement is good or just the first thing the loop found.

## Why hand-rolled placement stops working

The search space is the part people underestimate. Take Rebalancer's own published benchmark size — 265,000 objects across 3,200 containers. The number of distinct assignments is 3,200 raised to the power of 265,000. Written out, that number is nearly 929,000 digits long.

No amount of cleverness enumerates that. So every real system uses a heuristic, and the question is only whether your heuristic is written down as a model or buried in a loop. A model you can audit, constrain, and re-solve. A loop you can only rewrite.

![Comparison of two solver formulations for a 265,000-object, 3,200-container placement: the Mixed Integer Program builds 848 million binary variables while local search evaluates a neighborhood of 268,200 candidate moves per step, a 3,162x difference](/blog/rebalance-shards-across-servers-search-space.svg)

## How to rebalance shards across servers with Rebalancer

The library separates specification from storage from solving from debugging, and the modeling flow follows that same order. Here is the shape of a minimal run:

1. **Install it.** `pip install rebalancer` pulls the Python package; Debian packages and a Homebrew formula are published on the repo as well.
2. **Name your two sides.** `set_object_name("shard")` and `set_container_name("host")` — objects get placed, containers receive them.
3. **Seed the current assignment.** `set_assignment({"host0": ["shard0", "shard1"], "host1": ["shard2"]})`. This is what makes it a *rebalance* rather than a cold placement, and it is the hook you need for churn control later.
4. **Declare dimensions.** `add_object_dimension("memory", {...})` says what each shard consumes; `add_container_dimension("memory", {}, default_value=20.0)` says what each host offers.
5. **Add constraints as specs.** A `CapacitySpec` scoped to `host` on the `memory` dimension is the hard rule that no host is overcommitted.
6. **Add objectives.** A balance spec spreads a dimension evenly across containers once the hard rules are satisfied.
7. **Choose a solver.** A `LocalSearchSolverSpec` takes a `moveTypeList` — `SingleMoveTypeSpec` moves one object, `SwapMoveTypeSpec` exchanges two — and those move types are literally the neighborhood the search explores.

```python
from rebalancer import ProblemSolver
from rebalancer.specs import (
    CapacitySpec, ConstraintSpec, LocalSearchSolverSpec,
    MoveTypeSpec, SingleMoveTypeSpec, SwapMoveTypeSpec, SolverSpec,
)

solver = ProblemSolver(service_name="rebalancer", service_scope="example")
(solver
    .set_object_name("task")
    .set_container_name("host")
    .set_assignment({"host0": ["task0", "task1", "task2"], "host1": ["task3"]})
    .add_object_dimension("memory", {"task0": 10, "task1": 10, "task2": 10, "task3": 10})
    .add_container_dimension("memory", {}, default_value=20.0)
    .add_constraint(ConstraintSpec(capacitySpec=CapacitySpec(
        name="memory_capacity", scope="host", dimension="memory")))
    .add_solver(SolverSpec(localSearchSolverSpec=LocalSearchSolverSpec(
        moveTypeList=[MoveTypeSpec(singleMoveTypeSpec=SingleMoveTypeSpec()),
                      MoveTypeSpec(swapMoveTypeSpec=SwapMoveTypeSpec())])))
)
solution = solver.solve()
```

Underneath, constraints and objectives compile into an expression graph with recursive operations — sum, max, square, absolute value — over utilization leaves. That graph is what gets re-evaluated on every candidate move, which is why the choice of solver is a scaling decision rather than a style preference.

## Local search vs a MIP solver: which one fits your problem size?

Rebalancer ships two engines, and they fail in opposite directions. The optimal solver translates your expression graph into a Mixed Integer Program for HiGHS, Gurobi, or FICO Xpress, and gives you a provably optimal answer — if it finishes. Model size is worst-case proportional to objects times containers.

Run that against the 265,000-object benchmark and the MIP needs on the order of 848 million binary variables. Local search, whose neighborhood is proportional to objects *plus* containers, considers about 268,200 moves per step — roughly 3,162 times smaller. At a million objects and 5,000 containers, the MIP formulation crosses 5 billion variables while local search still returns in an average of 171 seconds.

| | Optimal (MIP) solver | Local-search solver |
| --- | --- | --- |
| Model size | Objects × containers | Objects + containers |
| At 265k × 3.2k | ~848M binary variables | ~268,200 moves per step |
| Answer quality | Provably optimal | Good, no optimality proof |
| Backend needed | HiGHS, Gurobi, or Xpress | None |
| Best fit | Small models, audit and reference runs | Fleet-scale rebalancing |

The honest read: use the optimal solver as a correctness oracle on a scaled-down instance, then run local search in production. Meta's own largest problems are explicitly described as too big for any MIP solver, which is a useful admission from the team that built both paths.

![Two solve-time data points from Meta production: 12 seconds at p99 for 265,000 objects across 3,200 containers, and 171 seconds on average for problems above one million objects across 5,000 containers, at over 3,400 large runs per day](/blog/rebalance-shards-across-servers-solve-times.svg)

Those 3,400 large runs a day are worth converting into a capacity number before you adopt this. At 171 seconds each, that is 581,400 solver-seconds per day — about 6.7 machine-days of compute consumed every single day. Rebalancing at fleet scale is a background service with its own fleet, not a cron job on the control plane.

## What breaks if you rebalance greedily instead?

Three failure modes, in the order teams hit them.

**Constraint creep.** The first version has one rule. The fifth has capacity, rack diversity, a version-affinity rule, and a customer-isolation rule, and they interact. A greedy loop cannot tell you a combination is infeasible; it just returns something and lets you find out in production.

**Churn.** A rebalancer that does not know the current assignment returns the layout it likes best, which can move nearly everything. Seeding `set_assignment` with today's placement and letting the objective pay for movement is what separates a rebalance from a reshuffle. Getting this wrong turns an optimizer into a self-inflicted [traffic event that looks a lot like a yo-yo DDoS](/blog/yo-yo-ddos-attack-mitigation) — repeated, self-triggered load.

**No way to debug the answer.** When the solver returns a placement you did not expect, you need to see which constraint bound and which objective dominated. Rebalancer ships an Explorer web UI in a container for exactly that, and the team notes that once modeling gets easy, most of the engineering effort shifts to debugging.

![Traced four-stage Rebalancer pipeline: constructs declare dimensions, partitions and scopes; the expression API builds a graph of sum, max, square and absolute-value nodes; the spec API attaches capacity and balance rules; and the solver stage branches to either a MIP backend or local search, with the Explorer UI reading the graph for debugging](/blog/rebalance-shards-across-servers-pipeline.svg)

## When should you not reach for a solver?

If your placement problem has one constraint and fewer than a few hundred objects, a sorted loop is the right answer and adding a solver is resume-driven architecture. The threshold is not object count, it is constraint count: the moment two rules can conflict, you want a model that can report infeasibility instead of a loop that silently picks a winner.

The second case to skip it is when placement is not actually your bottleneck. If you are moving data between nodes, the [PCIe and NIC path usually dominates](/blog/eliminate-pcie-bottleneck-ai-training) any gains from a smarter layout. And if you are running a small cluster, [the $166-a-year answer frequently beats the clever one](/blog/docker-swarm-vs-kubernetes-166-dollar-reality-check).

For related reading, the same infrastructure discipline shows up in [the cloud integrations you have to build yourself on bare-metal Kubernetes](/blog/kubernetes-on-bare-metal-cloud-integrations) and in [planning a migration with no downtime window](/blog/zero-downtime-cms-migration-playbook). If the workloads you are placing are model training or inference jobs, the [LLM engineering topic hub](/topics/llm-engineering) collects the adjacent capacity and latency work, including [why multi-agent text handoffs cost 2.5x in latency](/blog/multi-agent-llm-latency-text-handoffs).

## FAQ

**Do I need a commercial solver license to use Rebalancer?**
No. The optimal solver path compiles your model into a Mixed Integer Program that can run on HiGHS, which is open source, alongside the commercial Gurobi and FICO Xpress backends. The local-search solver needs no external solver at all, and that is the path Meta uses for its largest problems anyway.

**How large a fleet can the local-search solver actually handle?**
Meta reports averaging 171 seconds on problems with more than a million objects across 5,000 containers, and runs over 3,400 of those per day. The reason it scales is that each search step evaluates a neighborhood of about objects-plus-containers candidate moves, not the objects-times-containers decision matrix a MIP has to build. Practically, the limit you hit first is usually how long you are willing to wait, not the model size.

**Is this only useful for sharded databases?**
No — sharding is just the most recognizable instance. Meta runs the same library for assigning servers to services, routing edge traffic to datacenters, grouping serverless functions for locality, and balancing online ML training workloads. Anything shaped as put these N things into these M places without violating constraints is the same problem.

**How do I stop a rebalance from moving everything at once?**
Model churn as a cost rather than trying to bolt on a limit afterwards. You seed the solver with the current assignment through `set_assignment`, then express movement as something the objective penalizes, so a move has to buy more balance than it costs in disruption. A solver that does not know the current placement will happily return a mathematically better layout that is operationally a full reshuffle.

**What is the difference between a constraint and an objective here?**
A constraint is a hard rule the solution must satisfy, like a container never exceeding its memory dimension. An objective is what gets optimized once the hard rules hold, such as spreading a dimension evenly across containers. Getting this split wrong is the most common modeling mistake: encoding a preference as a constraint is how you end up with an infeasible problem and no solution at all.

## Sources

- [Meta Engineering: Open-sourcing Rebalancer](https://engineering.fb.com/2026/09/21/open-source/rebalancer-generic-high-performance-library-assignment-problems/) — the announcement, production scale figures, solve-time benchmarks, and the list of internal systems built on it.
- [facebook/rebalancer on GitHub](https://github.com/facebook/rebalancer) — Apache 2.0 source, install instructions, and the Python example this post's code is based on.
- [Rebalancer documentation](https://facebook.github.io/rebalancer/) — the spec catalog, expression API reference, and the Explorer debugging tool.

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Umesh Malik is a software engineer specialising in AI engineering: RAG pipelines, agentic workflows, and Model Context Protocol servers. He works as a Software Development Engineer 2 at Expedia Group on workflow orchestration infrastructure, has 5+ years of production engineering experience across Expedia Group, Tekion Corp and BYJU'S, and writes a technical blog on LLM engineering, Claude Code and the agentic web at umesh-malik.com.

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| --- | --- | --- |
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