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Deficit Round Robin

Deficit Round Robin chooses jobs using priority, completion-time, or resource-availability rules.

Quick Facts

Compact metadata for implementation and discovery.

Category
Scheduling
Difficulty
Intermediate
Family
Scheduling
Tier
Core
Status
Verified
Review
Source Checked
Sources
1
Formulas
1
Relationships
1
Code example
Ready
Visualization
Ready
Aliases
DRR

Overview

Deficit Round Robin is a scheduling method that selects or admits work using a concrete priority, fairness, deadline, or capacity rule. It helps expose the policy tradeoff behind queue order, fairness, deadlines, or resource use.

Core Concepts

priority ruleresource allocationqueue disciplinetask order

Quick facts

Complexity

Runtime and memory behavior at a glance.

Best

O(n)

Average

O(n log n)

Worst

O(n^2)

Space

O(n)

When to Use

  • Use Deficit Round Robin when queue order, resource assignment, or deadline policy must be explicit.
  • Use it when comparing fairness, latency, throughput, or utilization policies matters.

When Not to Use

  • Avoid when the policy would hide starvation, unfairness, or deadline misses.
  • Avoid when task durations or priorities are too uncertain for the rule to be meaningful.

What It Does

  • Ranks ready work with a scheduling rule
  • Updates waiting time, deadlines, or capacity
  • Returns an order, assignment, or admission decision

Use Cases

  • CPU scheduling
  • Network queue management
  • Workflow and batch processing

Inputs

  • Jobs or requests
  • Timing constraints
  • Resource limits

Outputs

  • Execution order
  • Resource assignment
  • Timing decision

Key Formulas (1)

Deficit update

deficiti = deficiti + quantumi − bytessent i
deficit_i = deficit_i + quantum_i - bytes_sent_i

Carries unused service credit forward for each queue.

Pseudocode

  1. 1.Collect ready jobs, queues, or tasks
  2. 2.Compute the method's priority, fairness, or capacity score
  3. 3.Select the next job or resource assignment
  4. 4.Update waiting time, capacity, or completion state
  5. 5.Repeat until all work is scheduled or admitted

Canonical Example

Input
jobs = [{id:A, time:3}, {id:B, time:1}], resource = one worker
Output
ordered or assigned jobs according to the scheduling rule
Explanation
Deficit Round Robin computes the priority or capacity rule and chooses the next job from the ready set.

Implementation Notes

  • Make tie-breaking deterministic and visible in tests.
  • Track waiting time, service time, and resource state separately.
  • State whether the policy is preemptive and what fairness, latency, or deadline objective it optimizes.

Common Pitfalls

  • Forgetting tie-breaking rules makes schedules unstable across runs.
  • Ignoring starvation and fairness edge cases can make good averages hide bad tail behavior.
  • Ignoring preemption cost, release times, or starvation can make a schedule look correct only in toy cases.

Interactive Mechanism Walkthrough

Graph Frontier & Edge Relaxation

Show queued jobs moving onto processors, links, or time slots as the scheduling rule changes priorities.

Deficit Round Robin mechanism walkthrough step 1 of 5suvwxt
Step 1 of 5: Collect ready jobs, queues, or tasks
scheduling

Notes

Deficit Round Robin operates in O(n log n) time and O(n) space within the Scheduling family. Key governing relation: deficit_i = deficit_i + quantum_i - bytes_sent_i. Often compared with Round Robin Scheduling and Priority Scheduling.

Sources (1)

What each reference supports for this entry.

Deficit Round Robin

Paper

Original reference for deficit counters, quantum service, and O(1) fair queue scheduling.

Open source

Explore Next

Good next jumps from the relationship graph, ranked for useful discovery.

Conceptual neighborRound Robin Scheduling

Deficit Round Robin and Round Robin Scheduling address nearby scheduling problems but make different implementation tradeoffs.

Tags

Scheduling