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1399. Cross-dock Door Assignment Problem, CDAP, decomposition methodologies

Invited abstract in session MD-35: Cross-dock Door Problems, stream Stochastic, Robust and Distributionally Robust Optimization.

Monday, 14:30-16:00
Room: 44 (building: 303A)

Authors (first author is the speaker)

1. Aitziber Unzueta
Applied Mathematics, UPV/EHU
2. Laureano F. Escudero
Estadística e Investigación Operativa, Universidad Rey Juan Carlos
3. M. Araceli Garin
Quantitative Methods, UPV/EHU

Abstract

The Cross-dock Door Assignment problem (CDAP) consists of using a distribution-docking terminal for helping on supply chain distribution. Given a set of commodities to deliver from origin nodes to destination ones, the products are unloaded using a set of inbound doors, handled in the terminal, and reloaded using a set of outbound doors. The goal is to minimize the transportation cost of the commodities to be handled at the cross-dock. A class of strong lower bounds on the solution value of a Linearized Integer Programming reformulation is introduced for the binary quadratic optimization model to assign origin and destination nodes to strip and stack doors, respectively, in a cross-dock infrastructure. Strip- and stack-related decomposition submodels are developed by taking benefit of the Integer Linearization Property that appears in the new model. A linear search heuristic is also provided for obtaining feasible solutions by exploiting the special structure of the problem. We present an extensive computational study on a testbed of 55 instances to show that the proposed joint scheme for lower bounding and feasible solution providing is very efficient.

Keywords

Status: accepted


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