\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

The warehouse-retailer network design game

Abstract Related Papers Cited by
  • In this paper, we consider the warehouse-retailer network design game based on the warehouse-retailer network design problem (WRND) proposed by Teo and Shu (2004). By carefully defining the generalized distance function, we present a cost-sharing method for the warehouse-retailer network design game. We show that the proposed cost-sharing scheme is cross-monotonic, competitive, and $3$-approximate cost recovery.
    Mathematics Subject Classification: Primary: 90C59; Secondary: 90C10.

    Citation:

    \begin{equation} \\ \end{equation}
  • [1]

    N. R. Devanur, M. Mihail and V. V. Vazirani, Strategyproof cost-sharing mechanisms for set cover and facility location games, Proceedings of the 4th ACM conference on Electronic commerce, (2003), 108-114.doi: 10.1145/779928.779942.

    [2]

    L. Fleischer and S. Iwata, A push-relabel framework for submodular function minimization and applications to parametric optimization, Discrete Applied Mathematics, 131 (2003), 311-322.doi: 10.1016/S0166-218X(02)00458-4.

    [3]

    M. X. Goemans and M. Skutella, Cooperative facility location games, Journal of Algorithms, 50 (2004), 194-214.doi: 10.1016/S0196-6774(03)00098-1.

    [4]

    M. Grötschel, L. Lovász and A. Schrijver, Geometric Algorithms and Combinatorial Optimization, Springer-Verlag, Berlin, 1988.doi: 10.1007/978-3-642-97881-4.

    [5]

    N. Immorlica, M. Mahdian and V. Mirrokni, Limitations of cross-monotonic cost-sharing schemes, Proceedings of the Sixteenth Annual ACM-SIAM Symposium on Discrete Algorithms, (2005), 602-611.

    [6]

    S. Iwata, L. Fleischer and S. Fujishige, A combinatorial strongly polynomial algorithm for minimizing submodular functions, Journal of the ACM, 48 (2001), 761-777.doi: 10.1145/502090.502096.

    [7]

    K. Jain and V. V. Vazirani, Applications of approximation algorithms to cooperative games, Proceedings of the Thirty-Third Annual ACM Symposium on Theory of Computing, (2001), 364-372.doi: 10.1145/380752.380825.

    [8]

    G. Li, Y. Li, J. Shu and D. Xu, A cross-monotonic cost-sharing scheme for the concave facility location game, Journal of Global Optimization, 56 (2013), 1325-1334.doi: 10.1007/s10898-012-9852-0.

    [9]

    Y. Li, J. Shu, X. Wang, N. Xiu, D. Xu and J. Zhang, Approximation algorithms for integrated distribution network design problem, INFORMS Journal on Computing, 25 (2013), 572-584.doi: 10.1287/ijoc.1120.0522.

    [10]

    W. Lim, J. Ou and C. Teo, Inventory cost effect of consolidating several one-warehouse multiretailer systems, Operations Research, 51 (2003), 668-672.doi: 10.1287/opre.51.4.668.16092.

    [11]

    H. Moulin and S. Shenker, Strategyproof sharing of submodular costs: Budget balance versus efficiency, Econom Theory, 18 (2001), 511-533.doi: 10.1007/PL00004200.

    [12]

    M. Pál and É. Tardos, Group strategyproof mechanisms via primal-dual algorithms, Proceedings of FOCS, (2003), 584-593.

    [13]

    R. Roundy, $98%$ Effective integer-ratio lot-sizing for one warehouse multi-retailer systems, Management science, 31 (1985), 1416-1430.doi: 10.1287/mnsc.31.11.1416.

    [14]

    A. Schrijver, A combinatorial algorithm minimizing submodular functions in strongly polynomial time, Journal of Combinatorial Theory, Series B, 80 (2000), 346-355.doi: 10.1006/jctb.2000.1989.

    [15]

    J. Shu, An efficient greedy heuristic for warehouse-retailer network design optimization, Transportation Science, 44 (2010), 183-192.doi: 10.1287/trsc.1090.0302.

    [16]

    J. Shu, C. Teo and Z. Shen, Stochastic transportation-inventory network design problem, Operations Research, 53 (2005), 48-60.doi: 10.1287/opre.1040.0140.

    [17]

    C. Teo and J. Shu, Warehouse-retailer network design problem, Operations Research, 52 (2004), 396-408.doi: 10.1287/opre.1030.0096.

    [18]

    D. Xu and D. Du, The $k$-level facility location game, Operation Research Letter, 34 (2006), 421-426.doi: 10.1016/j.orl.2005.06.002.

    [19]

    J. Zhang, Cost allocation for joint replenishment models, Operations Research, 57 (2009), 146-156.doi: 10.1287/opre.1070.0491.

  • 加载中
SHARE

Article Metrics

HTML views() PDF downloads(126) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return