Forthcoming and Online First Articles

International Journal of Mathematical Modelling and Numerical Optimisation

International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO)

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International Journal of Mathematical Modelling and Numerical Optimisation (2 papers in press)

Regular Issues

  • Bio-inspired mix design optimization of self-compacting concrete using machine learning algorithms   Order a copy of this article
    by Sriman Pankaj B, Vasan A, Jabez Christopher J 
    Abstract: This study focuses on optimising concrete mix design using a hybrid bio-inspired optimisation algorithm that combines differential evolution (DE) and cuckoo search (CS). The study also evaluates the performance of two strength prediction models, artificial neural networks (ANNs) and support vector machine regression (SVR), in determining optimal mix proportions. The hybrid algorithm is tested using 11 benchmark test functions and the best approach is chosen to solve a mix design optimisation problem with the objectives of maximising compressive strength, minimising carbon emissions, and minimising cost. Results show that ANN outperforms SVR in terms of compressive strength, with a 30% increase observed. Both prediction models produce optimal mix proportions with minimal variation for cost and embodied carbon minimisation scenarios. The study demonstrates the efficacy of the hybrid optimisation algorithm in conjunction with a prediction model in determining optimal concrete mix proportions.
    Keywords: bio-inspired optimisation; swarm intelligence algorithms; machine learning; compressive strength prediction model; concrete mix design optimisation; cuckoo search; differential evolution.
    DOI: 10.1504/IJMMNO.2024.10058653
  • Startup of oscillating heat pipes via Hopf bifurcation   Order a copy of this article
    by Carmen Chicone, Z.C. Feng, Stephen Lombardo, David G. Retzloff 
    Abstract: Phase changes occur in oscillating heat pipes (OHPs) inside a tube partially filled with liquid that loops through the hot and cold zones of the device. Evaporation occurs in the hot zone, condensation in the cold zone. Their net effect would intuitively lead to accumulation of liquid slugs in the cold zone and flow stagnation. In recent work, however, self-oscillations observed in a single-branch heat pipe are explained as self-excited mechanical resonator motion. We extend their analysis to typical OHP geometry. Based on a model that combines slug dynamics with a phenomenological model of evaporation, linear stability of the equilibrium corresponding to liquid slugs filling up the cold zone of the heat exchanger is analysed. Our results reveal relations among the system parameters that determine stability and oscillatory behaviour via Hopf bifurcations. Thus, an explanation is proposed for successful start-up - one of the grand challenges for OHP design.
    Keywords: oscillating heat pipe; mathematical model; linearisation; Hopf bifurcation; start-up; model validation.
    DOI: 10.1504/IJMMNO.2024.10059141