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A Pareto-metaheuristic for a bi-objective winner determination problem in a combinatorial reverse auction


  • Buer, Tobias
  • Kopfer, Herbert


The bi-objective winner determination problem (2WDP-SC) of a combinatorial procurement auction for transport contracts comes up to a multi-criteria set covering problem. We are given a set B of bundle bids. A bundle bid b in B consists of a bidding carrier c_b, a bid price p_b, and a set tau_b of transport contracts which is a subset of the set T of tendered transport contracts. Additionally, the transport quality q_t,c_b is given which is expected to be realized when a transport contract t is executed by a carrier c_b. The task of the auctioneer is to find a set X of winning bids (X is subset of B), such that each transport contract is part of at least one winning bid, the total procurement costs are minimized, and the total transport quality is maximized. This article presents a metaheuristic approach for the 2WDP-SC which integrates the greedy randomized adaptive search procedure, large neighborhood search, and self-adaptive parameter setting in order to find a competitive set of non-dominated solutions. The procedure outperforms existing heuristics. Computational experiments performed on a set of benchmark instances show that, for small instances, the presented procedure is the sole approach that succeeds to find all Pareto-optimal solutions. For each of the large benchmark instances, according to common multi-criteria quality indicators of the literature, it attains new best-known solution sets.

Suggested Citation

  • Buer, Tobias & Kopfer, Herbert, 2012. "A Pareto-metaheuristic for a bi-objective winner determination problem in a combinatorial reverse auction," MPRA Paper 36062, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:36062

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    Cited by:

    1. Jothi Basu, R. & Bai, Ruibin & Palaniappan, PL.K., 2015. "A strategic approach to improve sustainability in transportation service procurement," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 74(C), pages 152-168.

    More about this item


    Pareto optimization; multi-criteria winner determination; combinatorial auction; GRASP; LNS;

    JEL classification:

    • R40 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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