TY - CHAP AB - Abstract This chapter presents the survey of selected linear and mixed integer programming multi-objective portfolio optimization. The definitions of selected percentile risk measures are presented. Some contrasts and similarities of the different types of portfolio formulations are drawn out. The survey of multi-criteria methods devoted to portfolio optimization such as weighting approach, lexicographic approach, and reference point method is also presented. This survey presents the nature of the multi-objective portfolio problems focuses on a compromise between the construction of objectives, constraints, and decision variables in a portfolio and the problem complexity of the implemented mathematical models. There is always a trade-off between computational time and the size of an input data, as well as the type of mathematical programming formulation with linear and/or mixed integer variables. VL - 16 SN - 978-1-78190-956-0, 978-1-78190-957-7/0276-8976 DO - 10.1108/S0276-8976(2013)0000016007 UR - https://doi.org/10.1108/S0276-8976(2013)0000016007 AU - Sawik Bartosz PY - 2013 Y1 - 2013/01/01 TI - Survey of multi-objective portfolio optimization by linear and mixed integer programming T2 - Applications of Management Science T3 - Applications of Management Science PB - Emerald Group Publishing Limited SP - 55 EP - 79 Y2 - 2024/04/25 ER -