Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2013, Article ID 649397, 13 pages
http://dx.doi.org/10.1155/2013/649397
Research Article

Improving the Efficiency of Medical Services Systems: A New Integrated Mathematical Modeling Approach

Department of Industrial Engineering, Iran University of Science and Technology, Tehran 1684613114, Iran

Received 27 January 2013; Accepted 5 May 2013

Academic Editor: Ming Li

Copyright © 2013 Davood Shishebori and Mohammad Saeed Jabalameli. 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. A. M. Mestre, M. D. Oliveira, and A. Barbosa-Póvoa, “Organizing hospitals into networks: a hierarchical and multiservice model to define location, supply and referrals in planned hospital systems,” OR Spectrum, vol. 34, no. 2, pp. 319–348, 2012. View at Publisher · View at Google Scholar · View at Scopus
  2. J. Current, H. Min, and D. Schilling, “Multiobjective analysis of facility location decisions,” European Journal of Operational Research, vol. 49, no. 3, pp. 295–307, 1990. View at Google Scholar · View at Scopus
  3. P. Beraldi and M. E. Bruni, “A probabilistic model applied to emergency service vehicle location,” European Journal of Operational Research, vol. 196, no. 1, pp. 323–331, 2009. View at Publisher · View at Google Scholar · View at Scopus
  4. M. L. Brandeau and S. S. Chiu, “An overview of representative problems in location research,” Management Science, vol. 35, no. 6, pp. 645–674, 1989. View at Google Scholar
  5. H. A. Eiselt and G. Laporte, “Objectives in location problems,” in Facility Location: A Survey of Applications and Methods, Z. Drezner, Ed., pp. 151–179, Springer, New York, NY, USA, 1995. View at Google Scholar
  6. S. H. Owen and M. S. Daskin, “Strategic facility location: a review,” European Journal of Operational Research, vol. 111, no. 3, pp. 423–447, 1998. View at Google Scholar · View at Scopus
  7. T. S. Hale and C. R. Moberg, “Location science research: a review,” Annals of Operations Research, vol. 123, no. 1–4, pp. 21–35, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. C. S. ReVelle and H. A. Eiselt, “Location analysis: a synthesis and survey,” European Journal of Operational Research, vol. 165, no. 1, pp. 1–19, 2005. View at Publisher · View at Google Scholar · View at Scopus
  9. M. S. Daskin, “What you should know about location modeling,” Naval Research Logistics, vol. 55, no. 4, pp. 283–294, 2008. View at Publisher · View at Google Scholar · View at Scopus
  10. S. K. Lim and Y. D. Kim, “Plant location and procurement planning in knockdown production systems,” Journal of the Operational Research Society, vol. 52, no. 3, pp. 271–282, 2001. View at Google Scholar · View at Scopus
  11. E. S. Correa, M. T. A. Steiner, A. A. Freitas, and C. Carnieri, “A genetic algorithm for solving a capacitated p-median problem,” Numerical Algorithms, vol. 35, no. 2–4, pp. 373–388, 2004. View at Google Scholar · View at Scopus
  12. L. A. N. Lorena and E. L. F. Senne, “A column generation approach to capacitated p-median problems,” Computers & Operations Research, vol. 31, no. 6, pp. 863–876, 2004. View at Publisher · View at Google Scholar · View at Scopus
  13. J. Fathali and H. T. Kakhki, “Solving the p-median problem with pos/neg weights by variable neighborhood search and some results for special cases,” European Journal of Operational Research, vol. 170, no. 2, pp. 440–462, 2006. View at Publisher · View at Google Scholar · View at Scopus
  14. T. Drezner and Z. Drezner, “The gravity p-median model,” European Journal of Operational Research, vol. 179, no. 3, pp. 1239–1251, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. I. H. Osman and S. Ahmadi, “Guided construction search metaheuristics for the capacitated p-median problem with single source constraint,” Journal of the Operational Research Society, vol. 58, no. 1, pp. 100–114, 2007. View at Publisher · View at Google Scholar · View at Scopus
  16. M. G. C. Resende and R. F. Werneck, “A fast swap-based local search procedure for location problems,” Annals of Operations Research, vol. 150, no. 1, pp. 205–230, 2007. View at Publisher · View at Google Scholar · View at Scopus
  17. E. Domínguez and J. Muñoz, “A neural model for the p-median problem,” Computers & Operations Research, vol. 35, no. 2, pp. 404–416, 2008. View at Publisher · View at Google Scholar
  18. R. D. Galvão, L. Gonzalo Acosta Espejo, and B. Boffey, “A comparison of Lagrangean and surrogate relaxations for the maximal covering location problem,” European Journal of Operational Research, vol. 124, no. 2, pp. 377–389, 2000. View at Google Scholar · View at Scopus
  19. S. H. Hong and Y. H. Lee, “The maximal covering location problem with cost restrictions,” Journal of the Korean Institute of Industrial Engineers, vol. 30, pp. 93–106, 2004. View at Google Scholar
  20. O. Karasakal and E. K. Karasakal, “A maximal covering location model in the presence of partial coverage,” Computers & Operations Research, vol. 31, no. 9, pp. 1515–1526, 2004. View at Publisher · View at Google Scholar · View at Scopus
  21. K. Weng, C. Yang, and Y. Ma, “Two artificial intelligence heuristics in solving multiple allocation hub maximal covering problem,” in Intelligent Computing, vol. 4113 of Lecture Notes in Computer Science, pp. 737–744, 2006. View at Publisher · View at Google Scholar
  22. O. Berman, V. Verter, and B. Y. Kara, “Designing emergency response networks for hazardous materials transportation,” Computers & Operations Research, vol. 34, no. 5, pp. 1374–1388, 2007. View at Publisher · View at Google Scholar · View at Scopus
  23. C. ReVelle, M. Scholssberg, and J. Williams, “Solving the maximal covering location problem with heuristic concentration,” Computers & Operations Research, vol. 35, no. 2, pp. 427–435, 2008. View at Publisher · View at Google Scholar · View at Scopus
  24. S. Rahman and D. K. Smith, “Use of location-allocation models in health service development planning in developing nations,” European Journal of Operational Research, vol. 123, no. 3, pp. 437–452, 2000. View at Publisher · View at Google Scholar · View at Scopus
  25. M. S. Daskin and L. K. Dean, “Location of health care facilities,” in Operations Research and Health Care, pp. 43–76, 2005. View at Google Scholar
  26. D. G. Kim and Y. D. Kim, “A branch and bound algorithm for determining locations of long-term care facilities,” European Journal of Operational Research, vol. 206, no. 1, pp. 168–177, 2010. View at Publisher · View at Google Scholar · View at Scopus
  27. C. Toregas, R. Swain, C. ReVelle et al., “The location of emergency service facilities,” Operations Research, vol. 19, no. 6, pp. 1363–1373, 1971. View at Publisher · View at Google Scholar
  28. M. S. Daskin and E. H. Stern, “Hierarchical objective set covering model for emergency medical service vehicle deployment,” Transportation Science, vol. 15, no. 2, pp. 137–152, 1981. View at Google Scholar · View at Scopus
  29. M. Daskin, “Network and discrete location: models, algorithms and applications,” Journal of the Operational Research Society, vol. 48, no. 7, pp. 763–763, 1997. View at Google Scholar
  30. V. Marianov and C. ReVelle, “The queueing maximal availability location problem: a model for the siting of emergency vehicles,” European Journal of Operational Research, vol. 93, no. 1, pp. 110–120, 1996. View at Publisher · View at Google Scholar · View at Scopus
  31. V. Verter and S. D. Lapierre, “Location of preventive health care facilities,” Annals of Operations Research, vol. 110, no. 1–4, pp. 123–132, 2002. View at Publisher · View at Google Scholar · View at Scopus
  32. H. Jia, F. Ordonez, and M. Dessouky, “A modeling framework for facility location of medical services for large-scale emergencies,” IIE Transactions, vol. 39, no. 1, pp. 41–55, 2007. View at Publisher · View at Google Scholar
  33. P. Beraldi and M. E. Bruni, “A probabilistic model applied to emergency service vehicle location,” European Journal of Operational Research, vol. 196, no. 1, pp. 323–331, 2009. View at Publisher · View at Google Scholar · View at Scopus
  34. H. O. Mete and Z. B. Zabinsky, “Stochastic optimization of medical supply location and distribution in disaster management,” International Journal of Production Economics, vol. 126, no. 1, pp. 76–84, 2010. View at Publisher · View at Google Scholar · View at Scopus
  35. N. Coskun and R. Erol, “An optimization model for locating and sizing emergency medical service stations,” Journal of Medical Systems, vol. 34, no. 1, pp. 43–49, 2010. View at Publisher · View at Google Scholar · View at Scopus
  36. Z. Yujun, C. Shengyong, and L. Haifeng, “Agent-based cooperative evolutionary computation for disaster rescue operation planning,” Disaster Advances, vol. 5, no. 4, pp. 698–703, 2012. View at Google Scholar
  37. S. L. Hakimi, “Optimum locations of switching centers and the absolute centers and medians of a graph,” Operations Research, vol. 12, no. 3, pp. 450–459, 1964. View at Google Scholar
  38. A. A. Kuehn and M. J. Hamburger, “A heuristic program for locating warehouses,” Management Science, vol. 9, no. 4, pp. 643–666, 1963. View at Publisher · View at Google Scholar
  39. R. Church and C. ReVelle, “The maximal covering location problem,” Papers of the Regional Science Association, vol. 32, no. 1, pp. 101–118, 1974. View at Publisher · View at Google Scholar · View at Scopus
  40. M. S. Daskin, A. P. Hurter, and M. G. VanBuer, Toward an Integrated Model of Facility Location and Transportation Network Design, Working Paper, Transportation Center, Northwestern University, 1993.
  41. S. Melkote, Integrated models of facility location and network design [Doctor of philosophy], Northwestern University, Evaston, Ill, USA, 1996.
  42. S. Melkote and M. S. Daskin, “Capacitated facility location/network design problems,” European Journal of Operational Research, vol. 129, no. 3, pp. 481–495, 2001. View at Publisher · View at Google Scholar · View at Scopus
  43. S. Melkote and M. S. Daskin, “An integrated model of facility location and transportation network design,” Transportation Research A, vol. 35, no. 6, pp. 515–538, 2001. View at Publisher · View at Google Scholar · View at Scopus
  44. Z. Drezner and G. O. Wesolowsky, “Network design: selection and design of links and facility location,” Transportation Research A, vol. 37, no. 3, pp. 241–256, 2003. View at Publisher · View at Google Scholar · View at Scopus
  45. C. Cocking, Solutions to facility location-network design problems [Doctor of philosophy thesis], Department of Computer Science, University of Heidelberg, 2008.
  46. C. Cocking and G. Reinelt, “Heuristics for budget facility location-network design problems with minisum objective,” in Operations Research Proceedings 2008, Springer, Berlin, Germany, 2009. View at Google Scholar
  47. J. F. Bigotte, D. Krass, A. P. Antunes, and O. Berman, “Integrated modeling of urban hierarchy and transportation network planning,” Transportation Research A, vol. 44, no. 7, pp. 506–522, 2010. View at Publisher · View at Google Scholar · View at Scopus
  48. L. Snyder and N. Ülker, “A model for locating capacitated, unreliable facilities,” in Proceedings of the 14th Annual Industrial Engineering Research Conference (IERC '05), Atlanta, Ga, USA, May 2005.
  49. L. V. Snyder, Supply chain robustness and reliability: models and algorithms [Ph.D. thesis], Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, Ill, USA, 2003.
  50. L. V. Snyder and M. S. Daskin, “Reliability models for facility location: the expected failure cost case,” Transportation Science, vol. 39, no. 3, pp. 400–416, 2005. View at Publisher · View at Google Scholar · View at Scopus
  51. O. Berman, D. Krass, and M. B. C. Menezes, “Facility reliability issues in network p-median problems: strategic centralization and co-location effects,” Operations Research, vol. 55, no. 2, pp. 332–350, 2007. View at Publisher · View at Google Scholar · View at Scopus
  52. Z.-J. M. Shen, R. L. Zhan, and J. Zhang, The Reliable Facility Location Problem: Formulations, Heuristics, and Approximation Algorithms, Working Paper, University of California, Berkeley, Calif, USA, 2009.
  53. M. Lim, M. S. Daskin, A. Bassamboo, and S. Chopra, Facility Location Decisions in Supply Chain Networks with Random Disruption and Imperfect Information, Working Paper, Department of Business Administration, University of Illinois, 2009.
  54. L. Qi and Z. J. M. Shen, “A supply chain design model with unreliable supply,” Naval Research Logistics, vol. 54, no. 8, pp. 829–844, 2007. View at Publisher · View at Google Scholar · View at Scopus
  55. L. Qi, Z. J. M. Shen, and L. V. Snyder, “The effect of supply disruptions on supply chain design decisions,” Transportation Science, vol. 44, no. 2, pp. 274–289, 2010. View at Publisher · View at Google Scholar · View at Scopus
  56. L. V. Snyder and M. S. Daskin, “Models for reliable supply chain network design,” in Critical Infrastructure: Reliability and Vulnerability, A. T. Murray and T. H. Grubesic, Eds., chapter 13, pp. 257–289, 2007. View at Google Scholar
  57. P. Peng, L. V. Snyder, A. Lim, and Z. Liu, “Reliable logistics networks design with facility disruptions,” Transportation Research B, vol. 45, no. 8, pp. 1190–1211, 2011. View at Publisher · View at Google Scholar
  58. A. Jabbarzadeh, S. G. Jalali Naini, H. Davoudpour, and N. Azad, “Designing a supply chain network under the risk of disruptions,” Mathematical Problems in Engineering, vol. 2012, Article ID 234324, 23 pages, 2012. View at Publisher · View at Google Scholar
  59. H. A. Makse, S. Havlin, and H. E. Stanley, “Modelling urban growth patterns,” Nature, vol. 377, no. 6550, pp. 608–612, 1995. View at Google Scholar · View at Scopus
  60. Z. Wu, L. A. Braunstein, S. Havlin, and H. E. Stanley, “Transport in weighted networks: partition into superhighways and roads,” Physical Review Letters, vol. 96, no. 14, Article ID 148702, 4 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
  61. K. Gangopadhyay and B. Basu, “City size distributions for India and China,” Physica A, vol. 388, no. 13, pp. 2682–2688, 2009. View at Publisher · View at Google Scholar · View at Scopus
  62. T. Musha, H. Takeuchi, and T. Inoue, “1/f fluctuations in the spontaneous spike discharge intervals of a giant snail neuron,” IEEE Transactions on Biomedical Engineering, vol. 30, no. 3, pp. 194–197, 1983. View at Google Scholar · View at Scopus
  63. B. Neumcke, “1/f noise in membranes,” Biophysics of Structure and Mechanism, vol. 4, no. 3, pp. 179–199, 1978. View at Publisher · View at Google Scholar · View at Scopus
  64. M. Li and W. Zhao, “On 1/f noise,” Mathematical Problems in Engineering, vol. 2012, Article ID 673648, 23 pages, 2012. View at Publisher · View at Google Scholar
  65. C. Cattani, “On the existence of wavelet symmetries in Archaea DNA,” Computational and Mathematical Methods in Medicine, vol. 2012, Article ID 673934, 21 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  66. C. Cattani, G. Pierro, and G. Altieri, “Entropy and multifractality for the myeloma multiple TET 2 gene,” Mathematical Problems in Engineering, vol. 2012, Article ID 193761, 14 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  67. C. Cattani, “Fractals and hidden symmetries in DNA,” Mathematical Problems in Engineering, vol. 2010, Article ID 507056, 31 pages, 2010. View at Publisher · View at Google Scholar · View at Scopus
  68. M. Li and W. Zhao, “On bandlimitedness and lag-limitedness of fractional Gaussian noise,” Physica A, vol. 392, no. 9, pp. 1955–1961, 2013. View at Publisher · View at Google Scholar
  69. X. Zhao, P. J. Shang, A. Lin, and G. Chen, “Multifractal Fourier detrended cross-correlation analysis of traffic signals,” Physica A, vol. 390, no. 21-22, pp. 3670–3678, 2011. View at Publisher · View at Google Scholar · View at Scopus
  70. N. A. Krüger, “Estimating traffic demand risk—a multiscale analysis,” Transportation Research A, vol. 46, no. 10, pp. 1741–1751, 2012. View at Publisher · View at Google Scholar
  71. L. M. Zwack, C. J. Paciorek, J. D. Spengler, and J. I. Levy, “Characterizing local traffic contributions to particulate air pollution in street canyons using mobile monitoring techniques,” Atmospheric Environment, vol. 45, no. 15, pp. 2507–2514, 2011. View at Publisher · View at Google Scholar · View at Scopus