Abstract
Harmony search (HS) is a type of population-based optimization algorithm that is introduced based on the idea of musical instruments being tuned to obtain the best harmony state. Several versions of HS have been presented, with global harmony search (GHS) considered one of the most popular. Although GHS is efficient in solving various optimization problems, a new position updating mechanism has been added to improve its efficiency and help it avoid getting stuck in local minima. The novel algorithm proposed in this paper is called the intersect mutation global harmony search algorithm (IMGHSA), which has been tested and evaluated on a set of well-known benchmark functions. The IMGHSA is compared with several improved variants of the HS algorithm, such as the basic version of harmony search (HS), improved differential harmony search, generalized opposition-based learning with global harmony search , and novel global harmony search. The experimental results show that the proposed IMGHSA performs better than the state-of-the-art HS variants and has a more robust convergence when optimizing objective functions in terms of the solution accuracy and efficiency.
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Abbreviations
- BW:
-
Bandwidth vector
- GHS:
-
Global-based harmony search
- GOGHS:
-
Generalized opposition-based learning with global harmony search
- HMCR:
-
Harmony memory consideration rate
- \(\mathrm{HMCR}_{\mathrm{min}}\) :
-
Minimum harmony memory consideration rate
- \(\mathrm{HMR}_{\mathrm{max}}\) :
-
Maximum harmony memory consideration rate
- HMS:
-
Harmony memory size
- HS:
-
Harmony search
- IDHS:
-
Improved differential harmony search
- IMGHSA:
-
Intersect mutation global harmony search algorithm
- LB:
-
Lower bound of optimization problem
- NGHS:
-
Novel global harmony search
- NI:
-
Maximum number of iteration
- NV:
-
The number of decision variables
- \(\mathrm{OF}^{\mathrm{new}}\) :
-
Fitness of new vector
- \(\mathrm{OF}^{\mathrm{worst}}\) :
-
Fitness of the worst vector
- PAR:
-
Pitch adjusting rate
- \(\mathrm{PAR}_{\mathrm{max}}\) :
-
Maximum pitch adjusting rate
- \(\mathrm{PAR}_{\mathrm{min}}\) :
-
Minimum pitch adjusting rate
- Pm:
-
Genetic mutation probability
- r1, r2:
-
a random number between 0 and 1
- UB:
-
Upper bound of optimization problem
- \(x^{\mathrm{new}}\) :
-
A new harmony vector
- \(x^{}\) :
-
Harmony vector
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Gholami, J., Ghany, K.K.A. & Zawbaa, H.M. A novel global harmony search algorithm for solving numerical optimizations. Soft Comput 25, 2837–2849 (2021). https://doi.org/10.1007/s00500-020-05341-5
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DOI: https://doi.org/10.1007/s00500-020-05341-5