Research reviewer assignment balance calculator

Calculate review assignments [paper,slot,reviewer] and uncovered [paper,slot] with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use review assignments [paper,slot,reviewer] and uncovered [paper,slot] to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

JSON Review slots [paper ID,slot ID,eligible reviewer IDs]
[["P1","1",["A","B"]],["P1","2",["A","B"]],["P2","1",["A","B"]]]
JSON Reviewer total capacities [reviewer ID,count]
[["A",2],["B",2]]
Review assignments [paper,slot,reviewer]
[["P1","1","A"],["P1","2","B"],["P2","1","A"]]
Uncovered [paper,slot]
[]
Assigned slot count
3

Try another scenario

JSON Review slots [paper ID,slot ID,eligible reviewer IDs]
[["P1","1",["A","B"]],["P1","2",["A","B"]],["P2","1",["A","B"]]]
JSON Reviewer total capacities [reviewer ID,count]
[["A",1],["B",1]]
Review assignments [paper,slot,reviewer]
[["P1","1","A"],["P1","2","B"]]
Uncovered [paper,slot]
[["P2","1"]]
Assigned slot count
2
Calculation method

Calculation method

Review assignments [paper,slot,reviewer]

Exact backtracking maximizes assigned slots then minimizes sum squared reviewer loads; lexical assignment tie-break.

Uncovered [paper,slot]

Slots absent from selected exact assignment.

Assigned slot count

Number of assigned reviews.

Symbols and units
a
JSON Review slots [paper ID,slot ID,eligible reviewer IDs]
b
JSON Reviewer total capacities [reviewer ID,count]

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Expertise/conflict eligibility supplied; distinct reviewers per paper enforced. Exact maximum coverage followed by balanced load objective within stated small bounds. Supported limits: At most 10 review slots, 6 reviewers, maximum 4 eligible reviewers per slot.
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