A Discrete Optimization Model to Minimize Organ Recovery Time Using Heuristic Algorithms

Authors

  • Chanchal Saha Department of Systems Science and Industrial Engineering State University of New York at Binghamton Binghamton, New York 13902
  • Sang Won Yoon Department of Systems Science and Industrial Engineering State University of New York at Binghamton Binghamton, New York 13902

DOI:

https://doi.org/10.37266/ISER.2013v1i1.pp75-82

Abstract

This study proposes a discrete optimization model to minimize the organ recovery time in an Organ Procurement Organization (OPO) by grouping its associated hospitals and transplant centers into several clusters, based on their available organ recovery groups. Typically, the OPO covers a relatively large geographical area to recover organs from donors and deliver them to the recipients. Organs and/or tissues need to be transplanted within their viable time. Therefore, a discrete optimization model is proposed, based on the -median approach to identify optimal locations of the organ recovery groups to recover the organs within a desired time interval. Three heuristic solution approaches, such as Multi-start Fast Interchange (MFI), Simulated Annealing (SA), and Lagrangian Relaxation Algorithm (LRA), are applied to solve the -median clustering problems. Numerical examples are tested to identify a better solution approach in terms of a set of key performance indicators, such as elapse time, Silhouette index, and objective function value. The experimental results indicate that the MFI approach is effective finding an initial solution in the shortest possible time. To find a non-dominant optimal solution, the LRA outperformed the initial solution. In the future, the experimental results will be compared with real data to ensure the effectiveness of the proposed model.

References

Alba, E., & Domínguez, E. (2006). Comparative analysis of modern optimization tools for the p-median problem. Statistics and Computing, 16(3), 251-260.

Beltran, C., Tadonki, C., & Vial, J. (2006). Solving the p-median problem with a semi-lagrangian relaxation. Computational Optimization and Applications, 35(2), 239-260.

Briant, O., & Naddef, D. (2004). The optimal diversity management problem. Operations Research, 52(1), 515-526.

Brusco, M.J., &Köhn, H.-F. (2009). Exemplar-based clustering via simulated annealing. Psychometrika, 74(3), 457-475.

Center for Organ Recovery and Education (CORE). (2013, January). Facts and statistics. Retrieved from: http://www.core.org

Hansen, P., &Mladenoviĉ, N. (1997). Variable neighborhood search for the p-median. Location Science, 5(4), 207-226.

Hansen, P., & Jaumard, B. (1997). Cluster analysis and mathematical programming. Mathematical Programming, 79(1-3), 191-215.

Kariv, O., & Hakimi, L. (1979). An algorithmic approach to network location problems part II: The p-medians. SIAM Journal of Applied Mathematics, 37(1), 539-560.

Kaufman, L., & Rousseeuw, P.J. (1990). Finding groups in data: An introduction to cluster analysis. New York: Wiley.

Kong, N. (2005). Optimizing the efficiency of the United States organ allocation system through region reorganization (Doctoral Dissertation, University of Pittsburg). Retrieved from: http://www.ie.pitt.edu/~schaefer/Papers/KongDissertation.pdf

Meier-Kriesche, H.U., Port, F.K., Ojo, A.O., Rudich, S.M., Hanson, J.A., Cibrik, D.M., Leichtman, A.B., & Kaplan, B. (2000). Effect of waiting time on renal transplant outcome. Kidney International, 58(3), 1311-1317.

Mladenoviĉ, N., Brimberg, J., Hansen, P., & Moreno-Pérez, J.A. (2007). The p-median problem: A survey of metaheuristic approaches. European Journal of Operational Research, 179(3), 927-939.

Mulvey, J.M., & Crowder, H.P. (1979). Cluster analysis: An application of lagrangean relaxation. Management Science, 25(4), 329-340.

New York Organ Donor Network. (2013, January). Organ donation facts. Retrieved from: http://www.donatelifeny.org/about-donation/quick-facts-about-donation

Rais, A., & Viana, A. (2010). Operations research in healthcare: A survey. International Transitions in Operation Research, 18(1), 1-31.

Reese, J. (2006). Solution methods for the p-median problem: An annotated bibliography. Networks, 48(3), 125-142.

Saha, C., Zhang, J., Yoon, S.W., Khasawneh, M.T., & Krishnaswami, S. (2012, May). Selection and matching of kidney donor and recipient using fuzzy techniques and analytic hierarchy process. Paper presented at the Proceedings of the Industrial and Systems Engineering Research Conference, Orlando, Florida.

U.S. Department of Health and Human Services. (2013, January). Organ procurement and transportation network. Retrieved from: http://optn.transplant.hrsa.gov/members/regions.asp

Whitaker, R. (1983). A fast algorithm for the greedy interchange of large-scale clustering and median location problems. INFOR, 21(2), 95-108.

Wolfe, R.A., Ashby, V.B., Milford, E.L., Ojo, A.O., Ettenger, R.E., Agodoa, L.Y., Held, P.J., & Port, F.K. (1999). Comparison of Mortality in all Patients on Dialysis, Patients on Dialysis Awaiting Transplantation and Recipients of a First Cadaveric Transplant. The New England Journal of Medicine, 341(23), 1725-1730.

Published

2013-04-08

How to Cite

Saha, C., & Yoon, S. W. (2013). A Discrete Optimization Model to Minimize Organ Recovery Time Using Heuristic Algorithms. Industrial and Systems Engineering Review, 1(1), 75-82. https://doi.org/10.37266/ISER.2013v1i1.pp75-82