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MSSA: Multi-objective Salp Swarm Algorithm

version (128 KB) by Seyedali Mirjalili
The multi-objective version of the Salp Swarm Algorithm (SSA)


Updated 22 May 2018

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This submission includes the source codes of the multi-objective version of the Salp Swarm Algorithm (SSA) called Multi-objective Salp Swarm Algorithm (MSSA).
The main paper is:

This is the source codes of the paper:

S. Mirjalili, A.H. Gandomi, S.Z. Mirjalili, S. Saremi, H. Faris, S.M. Mirjalili, Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problems, Advances in Engineering Software, in-press, DOI:

If you have no access to the paper, please drop me an email at and I will send you the paper.

All of the source codes and extra information as well as more optimization techniques can be found in my personal website at
I have a number of relevant courses in this area. You can enrol via the following links with 95% discount:

A course on “Optimization Problems and Algorithms: how to understand, formulation, and solve optimization problems”:

A course on “Introduction to Genetic Algorithms: Theory and Applications”

Cite As

Seyedali Mirjalili (2020). MSSA: Multi-objective Salp Swarm Algorithm (, MATLAB Central File Exchange. Retrieved .

Comments and Ratings (6)


Thank you for the wonderful code! I used this for my work in which I took the obj func on x-axis to minimize and the one on Y axis to maximize, however, I'm getting the plot as a straight line like the shape of ' \' instead of a curved L or convex shape(as we usually get for PF), can you please help me where I went wrong or is that ok? and also, how to find the optimized values for both the objectives? Please help me, I'm struggling as I'm very new to Multi-Objective optimization. I need it for my project work.

Thanks in advance!


gs l

Thanks for ur efforts and your team

Thank you so much for this code. realy it is powerful Programme
Please, just I have one question ,
When I would like to optimize at the same time three Objective Functions , in which sub-code I can changed ?
is it only in ZDT1 ?? or in another sub-code

Tahnk you a lot in advance

MATLAB Release Compatibility
Created with R2016a
Compatible with any release
Platform Compatibility
Windows macOS Linux