Bin packing problem with restricted item fragmentation: Assignment of jobs in multi-product assembly environment with overtime
Open Access
- 3 November 2023
- journal article
- research article
- Published by AccScience Publishing in An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
- Vol. 14 (1) , 32-40
Abstract
This paper studies the assignment problem of multi product assembly jobs to days. The problem aims to minimize the amount of overtime while avoiding assembly delays for jobs that can be fragmented into smaller sub-tasks. When sequence-dependent setup times are negligible, the problem considered transforms into the bin packing problem with restricted item fragmentation where jobs represent items and days stand for bins. We present a mixed integer programming model of the problem by extending earlier formulations in the literature. Computational experiments show that the mathematical model obtained optimal solutions for majority of instances tested within reasonable computation times.Keywords
This publication has 21 references indexed in Scilit:
- Bin packing with fragmentable items: Presentation and approximationsTheoretical Computer Science, 2015
- Optimization of one-dimensional Bin Packing Problem with island parallel grouping genetic algorithmsComputers & Industrial Engineering, 2014
- Mathematical programming algorithms for bin packing problems with item fragmentationComputers & Operations Research, 2014
- The min-conflict packing problemComputers & Operations Research, 2012
- Efficient lower bounds and heuristics for the variable cost and size bin packing problemComputers & Operations Research, 2011
- A Branch-and-Price Algorithm for the Bin Packing Problem with ConflictsINFORMS Journal on Computing, 2011
- Average-weight-controlled bin-oriented heuristics for the one-dimensional bin-packing problemEuropean Journal of Operational Research, 2011
- New lower bounds for bin packing problems with conflictsEuropean Journal of Operational Research, 2010
- Solving the one-dimensional bin packing problem with a weight annealing heuristicComputers & Operations Research, 2008
- The Loading ProblemManagement Science, 1971