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Weighted-Sum Approach to Health Care Optimization

Applications of Management Science

ISBN: 978-1-78441-211-1, eISBN: 978-1-78441-210-4

Publication date: 3 February 2015


This chapter presents two multicriteria optimization models with bi and triple objectives solved with weighted-sum approach. Solved problems are allocation of personnel in a health care institution. To deal with these problems, mixed integer programming formulation has been applied. Results have shown the impact of problem parameter change for importance of the different objectives. Presented problems have been solved using AMPL programming language with solver CPLEX v9.1, with the use of branch and bound method.




This work has been partially supported by NCN grant # 6459/B/T02/2011/40 and by AGH. The author is grateful to two anonymous reviewers for their comments. The author would like to express his thanks to Erasmus student Raquel Villegas from Public University of Navarre in Pamplona, Spain, who during her stay at AGH University of Science & Technology in Kraków, Poland, helped in preparing tables, graphs, and some analysis of results presented in this chapter.


Sawik, B. (2015), "Weighted-Sum Approach to Health Care Optimization", Applications of Management Science (Applications of Management Science, Vol. 17), Emerald Group Publishing Limited, Leeds, pp. 163-180.



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