A column generation-based algorithm for solving combined inventory and routing problems

Carlos Franco-Franco, Juan Carlos Figueroa-García

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


This paper presents a column generation algorithm for solving combined vehicle and inventory problems. This problem is based on the idea of coordinating customer inventory levels through a minimum routing cost. This is a combinatory decision problem since vehicle routing and inventory problems, are combined. Using the column generation method, we can iteratively generate interesting routes to the system, based on their dual costs, this is routes that will improve the quality of the objective function because its reduced costs are negatives. The initial mixed integer problem has to be relaxed for getting its reduced costs. The sub problem is defined as the shortest pathproblem that returns a set of desirable routes. Finally, when the set of desirable routes is obtained, the mixed integer model should select a set of routes that fulfill bothminimum shipping costs and the constraints of the system.

Translated title of the contributionAlgoritmo basado en generación de columnas para resolver problemas combinados de ruteo e inventarios
Original languageEnglish (US)
Pages (from-to)305-313
Number of pages9
Issue number2
StatePublished - Apr 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Engineering


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