Computational complexity of uncapacitated multi-echelon production planning problems

DOI10.1016/0167-6377(89)90001-1zbMath0674.90044OpenAlexW2092681793MaRDI QIDQ1121774

Dev Joneja, Robin Roundy, Esther M. Arkin

Publication date: 1989

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6377(89)90001-1

zbMATH Keywords

computational complexityproduction planningNP-completeassembly systemPolynomial time algorithmsjoint replenishment systemmulti-echelon production-distribution systems

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Deterministic scheduling theory in operations research (90B35) Production models (90B30)

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Cites Work

• Unnamed Item
• Dynamic Version of the Economic Lot Size Model
• Deterministic Production Planning: Algorithms and Complexity
• Computational Complexity of the Capacitated Lot Size Problem
• A Multi-Product Dynamic Lot-Size Model with Individual and Joint Set-up Costs
• A Deterministic Multiproduct, Multi-Facility Production and Inventory Model
• Minimum Concave-Cost Solution of Leontief Substitution Models of Multi-Facility Inventory Systems
• A Facilities in Series Inventory Model with Nested Schedules
• A Simple Continuous Review Deterministic One-Warehouse N-Retailer Inventory Problem