Title
A comparative study of modeling and solution approaches for the coordinated lot-size problem with dynamic demand
Abstract
In the coordinated lot-size problem, a major setup cost is incurred when at least one member of a product family is produced and a minor setup cost for each different item produced. This research consolidates the various modeling and algorithmic approaches reported in the literature for the coordinated replenishment problem with deterministic dynamic demand. For the two most effective approaches, we conducted extensive computational experiments investigating the quality of the lower bound associated with the model's linear programming relaxation and the computational efficiency of the algorithmic approaches when used to find heuristic and optimal solutions. Our findings indicate the superiority of the plant location type problem formulation over the traditional approach that views the problem as multiple single-item Wagner and Whitin problems that are coupled by major setup costs. Broader implications of the research suggest that other classes of deterministic dynamic demand lot-size problems may also be more effectively modeled and solved by adapting plant location type models and algorithms.
Year
DOI
Venue
2008
10.1016/j.mcm.2007.02.035
Mathematical and Computer Modelling
Keywords
Field
DocType
computational experiments,lot-sizing,lot-size problem,deterministic dynamic demand lot-size,major setup cost,deterministic dynamic demand,computational efficiency,whitin problem,plant location type problem,mixed-integer-programming,algorithmic approach,comparative study,uncapacitated,solution approach,replenishment problem,minor setup cost,inventory modeling,lower bound,computer experiment,linear programming relaxation,mixed integer programming
Heuristic,Mathematical optimization,Algorithmics,Upper and lower bounds,Linear model,Integer programming,Dynamic demand,Linear programming,Linear programming relaxation,Mathematics
Journal
Volume
Issue
ISSN
47
11-12
Mathematical and Computer Modelling
Citations 
PageRank 
References 
5
0.46
12
Authors
3
Name
Order
Citations
PageRank
Li-Lian Gao1191.53
Nezih Altay227114.90
E. Powell Robinson31338.70