, Volume 56, Issue 4, pp 1117–1141 | Cite as

Portfolio optimization using Laplacian biogeography based optimization

  • Vanita GargEmail author
  • Kusum Deep
Theoretical Article


Portfolio optimization is defined as the most appropriate allocation of assets so as to maximize returns subject to minimum risk. This constrained nonlinear optimization problem is highly complex due to the presence of a number of local optimas. The objective of this paper is to illustrate the effectiveness of a well-tested and effective Laplacian biogeography based optimization and another variant called blended biogeography based optimization. As an illustration the model and solution methodology is implemented on data taken from Indian National Stock Exchange, Mumbai from 1st April, 2015 to 31st March, 2016. From the analysis of results, it is concluded that as compared to blended BBO, the recently proposed LX-BBO algorithm is an effective tool to solve this complex problem of portfolio optimization with better accuracy and reliability.


Portfolio optimization Mean variance model LX-BBO 



Funding was provided by Ministry of Human Resources, Govt. of India (Grant No. MHRD 02-23-200-429).


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Copyright information

© Operational Research Society of India 2019

Authors and Affiliations

  1. 1.Department of Mathematics, School of Basic and Applied SciencesGalgotias UniversityGreater NoidaIndia
  2. 2.Department of MathematicsIndian Institute of Technology, RoorkeeRoorkeeIndia

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