The SIMUS Method

  • Nolberto Munier
  • Eloy Hontoria
  • Fernando Jiménez-Sáez
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 275)


This chapter aims at explaining the SIMUS method, trying to show without formulas how it works. Its purpose is to illustrate the DM about its principles and characteristics for him/her to understand and apply it without going into complex mathematical demonstrations. That is, one thing is to understand a method and to know how to use it and how to get the most from it and another is to be knowledgeable about its mathematical intricacies.

SIMUS is a hybrid method based on linear programming, weighted sum and outranking methods.

If the reader is interested or perhaps rather curious about how LP works, in the Appendix is a detailed and accessible explanation. Since SIMUS is also grounded on the two above-mentioned techniques, it produces two results but with the same ranking. It is the equivalent of solving a problem with two distinctive methods and getting coincident rankings. Naturally, it does not mean that SIMUS delivers the ‘true’ solution, if it exists, but these two similar outputs offer a good deal of reliability. Although SIMUS is a heuristic method, the compromising solution obtained is based on the Pareto efficient matrix.

An application example illustrates how to load the data into the SIMUS software and shows its operation. The chapter continues explaining how to incorporate especial and real-world issues in the model and ends examining why both LP and SIMUS do not produce rank reversal.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Nolberto Munier
    • 1
  • Eloy Hontoria
    • 2
  • Fernando Jiménez-Sáez
    • 3
  1. 1.INGENIO, Polytechnic University of ValenciaKingstonCanada
  2. 2.Universidad Politécnica de CartagenaCartagenaSpain
  3. 3.Universidad Politécnica de ValenciaValenciaSpain

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