Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2013, Article ID 670528, 12 pages
http://dx.doi.org/10.1155/2013/670528
Research Article

Solving a Novel Inventory Location Model with Stochastic Constraints and Inventory Control Policy

1Department of Engineering Science, University of Auckland, Auckland 1010, New Zealand
2Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile
3CIMFAV, Facultad de Ingeniería, Universidad de Valparaíso, Valparaíso 2340000, Chile
4Universidad Autónoma de Chile, Santiago 7500000, Chile
5Universidad Finis Terrae, Santiago 7500000, Chile
6Universidad de Playa Ancha, Valparaíso 33449, Chile
7Escuela de Ingeniería Industrial, Universidad Diego Portales, Santiago 8370179, Chile

Received 3 May 2013; Revised 9 August 2013; Accepted 9 August 2013

Academic Editor: Vishal Bhatnaga

Copyright © 2013 Guillermo Cabrera et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. Simchi-Levi and Y. Zhao, “The value of information sharing in a two-stage supply chain with production capacity constraints,” Naval Research Logistics, vol. 50, no. 8, pp. 888–916, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. M. Mourits and J. J. Evers, “Distribution network design: an integrated planning support framework,” International Journal of Physical Distribution Logistics Management, vol. 25, pp. 43–57, 1995. View at Publisher · View at Google Scholar
  3. J. R. Bradley and B. C. Arntzen, “The simultaneous planning of production, capacity, and inventory in seasonal demand environments,” Operations Research, vol. 47, no. 6, pp. 795–806, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  4. P. A. Miranda and R. A. Garrido, “Incorporating inventory control decisions into a strategic distribution network design model with stochastic demand,” Transportation Research E, vol. 40, no. 3, pp. 183–207, 2004. View at Publisher · View at Google Scholar · View at Scopus
  5. P. Miranda, Un enfoque integrado para el diseno estrategico de redes de distribucion de carga [Ph.D. thesis], Pontificia Universidad Catolica de Chile, 2004.
  6. M. S. Daskin, Network and Discrete Location: Models, Algorithms, and Applications, Wiley-Interscience, New York, NY, USA, 1st edition, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  7. D. Simchi-Levi, X. Chen, and J. Bramel, The Logic of Logistics, Springer, New York, NY, USA, 2005. View at MathSciNet
  8. Z. Drezner and H. Hamacher, Facility Location. Applications and Theory, Springer, Berlin, Germany, 2002.
  9. M. S. Daskin, C. R. Coullard, and Z.-J. M. Shen, “An inventory-location model: formulation, solution algorithm and computational results,” Annals of Operations Research, vol. 110, pp. 83–106, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. Z.-J. M. Shen, C. Coullard, and M. S. Daskin, “A joint location-inventory model,” Transportation Science, vol. 37, no. 1, pp. 40–55, 2003. View at Publisher · View at Google Scholar · View at Scopus
  11. P. A. Miranda and R. A. Garrido, “Valid inequalities for Lagrangian relaxation in an inventory location problem with stochastic capacity,” Transportation Research E, vol. 44, no. 1, pp. 47–65, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. L. Ozsen, C. R. Coullard, and M. S. Daskin, “Capacitated warehouse location model with risk pooling,” Naval Research Logistics, vol. 55, no. 4, pp. 295–312, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. S. K. Kumar and M. Tiwari, “Supply chain system design integrated with risk pooling,” Computers Industrial Engineering, vol. 64, pp. 580–588, 2013. View at Publisher · View at Google Scholar
  14. J.-S. Tancrez, J.-C. Lange, and P. Semal, “A location-inventory model for large three-level supply chains,” Transportation Research E, vol. 48, no. 2, pp. 485–502, 2012. View at Publisher · View at Google Scholar · View at Scopus
  15. Z. Firoozi, N. Ismail, Sh. Ariafar, S. H. Tang, M. K. A. M. Ariffin, and A. Memariani, “Distribution network design for fixed lifetime perishable products: a model and solution approach,” Journal of Applied Mathematics, vol. 2013, Article ID 891409, 13 pages, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. O. Berman, D. Krass, and M. M. Tajbakhsh, “A coordinated location-inventory model,” European Journal of Operational Research, vol. 217, no. 3, pp. 500–508, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. J. F. Bard and N. Nananukul, “A branch-and-price algorithm for an integrated production and inventory routing problem,” Computers & Operations Research, vol. 37, no. 12, pp. 2202–2217, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. H. Badri, M. Bashiri, and T. H. Hejazi, “Integrated strategic and tactical planning in a supply chain network design with a heuristic solution method,” Computers & Operations Research, vol. 40, no. 4, pp. 1143–1154, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  19. V. A. Armentano, A. L. Shiguemoto, and A. Løkketangen, “Tabu search with path relinking for an integrated production-distribution problem,” Computers & Operations Research, vol. 38, no. 8, pp. 1199–1209, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  20. R. G. Askin, I. Baffo, and M. Xia, “Multi-commodity warehouse location and distribution planning with inventory consideration,” International Journal of Production Research, 2013. View at Publisher · View at Google Scholar
  21. P. A. Miranda and R. A. Garrido, “A simultaneous inventory control and facility location model with stochastic capacity constraints,” Networks and Spatial Economics, vol. 6, no. 1, pp. 39–53, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  22. A. Charnes and W. W. Cooper, “Chance-constrained programming,” Management Science, vol. 6, pp. 73–79, 1959/1960. View at Google Scholar · View at MathSciNet
  23. S. Axsater, “Approximate optimization of a two-level distribution inventory system,” International Journal of Production Production Economics, vol. 81-82, pp. 545–5553, 2003, Proceedings of the 7th International Symposium on Inventories. View at Publisher · View at Google Scholar
  24. F. Glover and M. Laguna, Tabu Search, Kluwer Academic, Norwell, Mass, USA, 1997.
  25. M. Pirlot, “General local search methods,” European Journal of Operational Research, vol. 92, no. 3, pp. 493–511, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  26. V. Vails, M. A. Perez, and M. S. Quintanilla, “A tabu search approach to machine scheduling,” European Journal of Operational Research, vol. 106, no. 2-3, pp. 277–300, 1998. View at Publisher · View at Google Scholar · View at Scopus
  27. S. Hanafi and A. Freville, “An efficient tabu search approach for the 0-1 multidimensional knapsack problem,” European Journal of Operational Research, vol. 106, no. 2-3, pp. 659–675, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  28. J. Brandão and A. Mercer, “A tabu search algorithm for the multi-trip vehicle routing and scheduling problem,” European Journal of Operational Research, vol. 100, no. 1, pp. 180–191, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  29. K. S. Al-Sultan and M. A. Al-Fawzan, “A tabu search approach to the uncapacitated facility location problem,” Annals of Operations Research, vol. 86, pp. 91–103, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  30. G. Guillermo Cabrera, E. Cabrera, R. Soto, L. J. M. Rubio, B. Crawford, and F. Paredes, “A hybrid approach using an artificial bee algorithm with mixed integer programming applied to a large-scale capacitated facility location problem,” Mathematical Problems in Engineering, vol. 2012, Article ID 954249, 14 pages, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  31. L. Dupont, “Branch and bound algorithm for a facility location problem with concave site dependent costs,” International Journal of Production Economics, vol. 112, no. 1, pp. 245–254, 2008, Special Section on Recent Developments in the Design, Control, Planning and Scheduling of Productive Systems. View at Publisher · View at Google Scholar · View at Scopus
  32. M. A. Arostegui Jr., S. N. Kadipasaoglu, and B. M. Khumawala, “An empirical comparison of Tabu Search, Simulated Annealing, and Genetic Algorithms for facilities location problems,” International Journal of Production Economics, vol. 103, no. 2, pp. 742–754, 2006. View at Publisher · View at Google Scholar · View at Scopus
  33. R. Eberhart, P. Simpson, and R. Dobbins, Computational Intelligence PC Tools, Academic Press, San Diego, Calif, USA, 1996.
  34. R. Eberhart and J. Kennedy, “New optimizer using particle swarm theory,” in Proceedings of the 6th IEEE International Symposium on Micro Machine and Human Science, pp. 39–43, October 1995. View at Scopus
  35. J. Kennedy and R. Eberhart, “Particle swarm optimization,” in Proceedings of the IEEE International Conference on Neural Networks, vol. 4, pp. 1942–1948, December 1995. View at Scopus
  36. J. Kennedy and R. C. Eberhart, Swarm Intelligence, Morgan Kaufmann, San Francisco, Calif, USA, 2001.
  37. J. Kennedy, “Particle swarm: social adaptation of knowledge,” in Proceedings of the IEEE International Conference on Evolutionary Computation (ICEC '97), pp. 303–308, April 1997. View at Scopus
  38. G. Guillermo Cabrera, D. Silvana Roncagliolo, J. P. Riquelme, C. Cubillos, and R. Soto, “A hybrid particle swarm optimization-simulated annealing algorithm for the probabilistic travelling salesman problem,” Studies in Informatics and Control, vol. 21, pp. 49–58, 2012. View at Google Scholar
  39. L. Cagnina, S. Esquivel, and C. A. Coello, “Hybrid particle swarm optimizers in the single machine scheduling problem: an experimental study,” Studies in Computational Intelligence, vol. 49, pp. 143–164, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  40. R. Poli, Analysis of the Publications on the Applications of Particle Swarm Optimisation, Journal of Artificial Evolution and Applications, vol. 2008, Article ID 685175, 14 pages, 2008. View at Publisher · View at Google Scholar
  41. Empirical Study of Particle Swarm Optimization, vol. 3, 1999.
  42. P. A. Miranda and G. Guillermo Cabrera, “Inventory location problem with stochastic capacity constraint under perodic review (r, s, s),” in International Conference on Industrial Logistic (ICIL '10), vol. 1, pp. 289–296, 2010.