title   
  

A note on "A LP-based heuristic for a time-constrained routing problem"

Muter, İbrahim and Birbil, Ş. İlker and Bülbül, Kerem and Şahin, Güvenç (2012) A note on "A LP-based heuristic for a time-constrained routing problem". European Journal of Operational Research, 221 (2). pp. 306-307. ISSN 0377-2217

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Official URL: http://dx.doi.org/10.1016/j.ejor.2012.03.048

Abstract

In their paper, Avella et al. (2006) investigate a time-constrained routing problem. The core of the proposed solution approach is a large-scale linear program that grows both row- and column-wise when new variables are introduced. Thus, a column-and-row generation algorithm is proposed to solve this linear program optimally, and an optimality condition is presented to terminate the column-and-row generation algorithm. We demonstrate by using Lagrangian duality that this optimality condition is incorrect and may lead to a suboptimal solution at termination.

Item Type:Article
Uncontrolled Keywords:Large-scale optimization; Column generation; Column-and-row generation; Time-constrained routing
Subjects:T Technology > T Technology (General) > T055.4-60.8 Industrial engineering. Management engineering
T Technology > T Technology (General) > T055.4-60.8 Industrial engineering. Management engineering > T57.6-57.97 Operations research. Systems analysis
ID Code:19146
Deposited By:Kerem Bülbül
Deposited On:04 Jul 2012 15:39
Last Modified:12 Jul 2012 10:14

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