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Sawik Bartosz (AGH University of Science and Technology, Poland)
A Reference Point Method to Triple-Objective Assignment of Supporting Services in a Healthcare Institution
Decision Making in Manufacturing and Services, 2010, vol. 4, nr 1/2, s. 37-46, tab., bibliogr. 12 poz.
Słowa kluczowe
Ochrona zdrowia, Optymalizacja, Zatrudnienie
Health care protection, Optimalization, Employment
This paper presents an application of mixed integer programming model for optimal allocation of workers among supporting services in a hospital. The services include logistics, inventory management, financial management, operations management, medical analysis, etc. The optimality criterion of the problem is to minimize operational costs of supporting services subject to some specific constraints. The constraints represent specific conditions for resource allocation in a hospital. The overall problem is formulated as a triple-objective assignment model, where the decision variables represent the assignment of people to various jobs. A reference point approach with the Chebyshev metric is applied for the problem solution. The results of computational experiments modeled on a real data from a hospital in Lesser Poland are reported. (original abstract)
Pełny tekst
  1. Alves, M.J., Climaco, J., 2007. A review of interactive methods for multiobjective integer and mixed-integer programming, European Journal of Operational Research, Vol. 180, pp. 99-115.
  2. Bowman Jr, V.J., 1976. On the relationship of the Chebyshev norm and the efficient frontier of multi-criteria objectives, [in:] Thiriez H., Zionts S. (Eds.) Multiple Criteria Decision Making, Lecture Notes in Economics and Mathematical Systems, Vol. 130. Springer-Verlag, Berlin, Germany, pp. 76-86.
  3. Brandeau, M.L., Sainfort, F., Pierskalla, W.P., 2004. Operations Research and Health Care. Kluwer Academic Publishers, Boston, USA.
  4. Burrkard, R., Dell'amico, M., Martello, S., 2008. Assignment Problems. SIAM, Philadelphia, USA.
  5. Ehrgott, M., 2000. Multicriteria Optimization. Second edition, Springer, Berlin, Germany.
  6. Fourer, R., Gay, D.M., Kernighan, B.W., 1990. A Modeling Language for Mathematical Programming, Management Science, Vol. 36, pp. 519-554.
  7. Nemhauser, G.L., Wolsey, L.A., 1999. Integer and Combinatorial Optimization, John Wiley & Sons, Toronto, Canada.
  8. Sawik, B., 2010. Reference Point Approach to Assignment of Supporting Services in a Healthcare Institution, chapter [in:] Świerniak A., Krystek J. (Eds.) Automatics of Discrete Processes, Theory and Applications, Vol. 2, Monographic of the Silesian University of Technology, PKJS, Gliwice, Poland, pp. 187-196.
  9. Sawik, B., Mikulik, J., 2008a. An Optimal Assignment of Workers to Supporting Services in a Hospital, Polish Journal of Medical Physics and Engineering, Vol. 14(4), 197-206.
  10. Sawik, B., Mikulik, J., 2008b. Model for Supporting Service Optimization in a Public Health Care Institution, EFOMP council and officer's meeting, 14th general assembly of the Polish Society of Medical Physics, European Conference Medical Physics and Engineering 110 years after the discovery of Polonium and Radium, 17-21 September 2008, Kraków, AGH, Polish Academy of Science, Poland.
  11. Sawik, B., 2008c. Bi-Objective Integer Programming Approach to Optimal Assignment of Supporting Services in a Health-Care Institution. The 21st Conference of the European Chapter on Combinatorial Optimization (ECCO XXI) May 29-31, 2008, Dubrovnik, Croatia.
  12. Steuer, R.E., 1986. Multiple Criteria Optimization: Theory, Computation and Application, John Wiley & Sons, New York, USA.
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