Improved integer programming models for simple assembly line balancing and related problems. (13th September 2015)

• Record Type: Journal Article
• Authors: Ritt, Marcus; Costa, Alysson M.
• Is Part Of: International transactions in operational research. Volume 25:Number 4(2018)
• Page Start: 1345
• Page End: 1359
• Publication Date: 2015-09-13
• Subjects: assembly line balancing -- integer linear programming -- valid inequalities -- precedence constraints -- station limits; Operations research -- Periodicals; 003
• DOI: 10.1111/itor.12206
• Languages: English
• ISSNs: 0969-6016

Abstract

Abstract: We propose a stronger formulation of the precedence constraints and the station limits for the simple assembly line balancing problem. The linear relaxation of the improved integer program theoretically dominates all previous formulations using impulse variables, and produces solutions of significantly better quality in practice. The improved formulation can be used to strengthen related problems with similar restrictions. We demonstrate their effectiveness on the U‐shaped assembly line balancing problem and on the bin packing problem with precedence constraints.