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OP-9544Status unassessedComputational geometry

Complexity of rectangular pallet loading

Given positive integer dimensions A,B,a,bA,B,a,b and an integer nn in binary, decide whether nn interior-disjoint a×ba\times b rectangles fit inside an A×BA\times B rectangle. Each small rectangle may use either axis-parallel orientation. Determine the complexity in terms of the compact input length.

Inferred from the community field; finer classification has not been reviewed.

Research-list selection · status unassessedAs of 2026-09-09Source & evidence ↓

Problem statement

Given positive integer dimensions A,B,a,bA,B,a,b and an integer nn in binary, decide whether nn interior-disjoint a×ba\times b rectangles fit inside an A×BA\times B rectangle. Each small rectangle may use either axis-parallel orientation. Determine the complexity in terms of the compact input length.

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Background

Editorial selection inspected on 9 September 2026. Current research status has not been independently reassessed; consult the original source and subsequent literature.

References
  1. [1]The Open Problems Project — Computational geometry: Complexity of rectangular pallet loading (inspected 2026-09-09) link

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