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A New Exact Approach to the Space-Free Double Row Layout Problem

In: Operations Research Proceedings 2015

Author

Listed:
  • Anja Fischer

    (University of Goettingen)

  • Frank Fischer

    (University of Kassel)

  • Philipp Hungerländer

    (University of Klagenfurt)

Abstract

Given a set of departments, two rows with a common left origin and pairwise connectivities between the departments, the Space-Free Double-Row Facility Layout Problem (SF-DRFLP) looks for permutations of the departments in both rows such that the weighted sum of the center-to-center distances between all pairs of departments is minimized. In this paper we present a new mixed-integer linear programming formulation for the (SF-DRFLP) with given assignment of the departments to both rows that combines distance and betweenness variables. Furthermore, we analyze the combinatorial structure of optimal solutions, which allows us to prove a certain balancing condition. We then use this formulation in an enumeration scheme for solving the (SF-DRFLP). Indeed, we test all possible row assignments, where some assignments are excluded by our new combinatorial investigations. This approach allows us to solve (SF-DRFLP) instances with up to 16 departments to optimality for the first time.

Suggested Citation

  • Anja Fischer & Frank Fischer & Philipp Hungerländer, 2017. "A New Exact Approach to the Space-Free Double Row Layout Problem," Operations Research Proceedings, in: Karl Franz Dörner & Ivana Ljubic & Georg Pflug & Gernot Tragler (ed.), Operations Research Proceedings 2015, pages 125-130, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-42902-1_17
    DOI: 10.1007/978-3-319-42902-1_17
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    Cited by:

    1. Xing Wan & Xing-Quan Zuo & Xin-Chao Zhao, 2021. "A Surrogate Model-Based Hybrid Approach for Stochastic Robust Double Row Layout Problem," Mathematics, MDPI, vol. 9(15), pages 1-18, July.

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