Optimization Letters

, 3:123 | Cite as

Complementary column generation and bounding approaches for set partitioning formulations

  • Ahmed GhoniemEmail author
  • Hanif D. Sherali
Original Paper


We present a complementary column generation feature that produces tight upper bounds, thereby enhancing heuristic and exact column generation approaches for (minimization) set partitioning formulations that possess dense column structures. We also introduce a duality-based lower bound that prompts a useful termination criterion, which can be utilized to mitigate the tailing-off effect induced by column generation approaches. Computations are presented for the one-dimensional bin packing problem and a joint vehicle assembly-routing problem.


Column generation Complementary column generation Duality-based lower bound One-dimensional bin packing Vehicle assembly-routing 


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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of Finance and Operations Management, Isenberg School of ManagementUniversity of MassachusettsAmherstUSA
  2. 2.Grado Department of Industrial and Systems Engineering (0118)Virginia Polytechnic Institute and State UniversityBlacksburgUSA

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