mathematics4 papersavg year 2026weak evidence

The lack of efficient optimization frameworks

Research gap analysis derived from 4 mathematics papers in our local library.

The gap

The lack of efficient optimization frameworks for multi-objective optimal power flow problems with renewable energy sources. The need for a hybrid algorithm that combines global-best guided exploitation with elitist non-dominated sorting.

Evidence profile

Sourced from the stated research gap and stated challenges of the source papers, classified as general, drawn from work published between 2025 and 2026, spanning 4 journals. Those papers have been cited 30 times in total.

Research trend

Established — well-defined area with open sub-problems.

Supporting evidence — 4 representative gaps

  • Experimental Evaluation of Microgrid Energy Management Using Surrogate-Assisted Optimization on PHIL and Smart Grid Systems (2026) · Algorithms · doi

    The lack of a surrogate-assisted optimization method for energy management systems in microgrids. The need for a method that can address technical, economic, and energy management system problems in microgrids. The requirement for a method that can reduce the number of true evaluations while maintaining stable performance.

    generalstated research gap
    Keywords: lack surrogate-assisted optimization method energy management systems microgrids
  • A Comprehensive Review on the Integration of Renewable Energy Through Advanced Planning and Optimization Techniques (2025) · Energies · cited 29× · doi

    the integration of renewable energy sources into power systems, - the variability and uncertainty inherent in renewable generation, - the need for planning tools that explicitly model uncertainty and co-optimize generation, storage, and transmission

    generalstated challenges
    Keywords: integration renewable energy sources power systems variability uncertainty
  • A dual-state epsilon driven hybrid Gbest Artificial Bee Colony–NSGA-II framework for stochastic renewable multi-objective optimal power flow (2026) · Management System Engineering · cited 1× · doi

    The lack of efficient optimization frameworks for multi-objective optimal power flow problems with renewable energy sources. The need for a hybrid algorithm that combines global-best guided exploitation with elitist non-dominated sorting.

    generalstated research gapevidence 5/5
    Keywords: lack efficient optimization frameworks multi-objective optimal power flow
  • Multi-objective electromagnetic wave propagation algorithm for power flow optimization with renewable energy in a power system (2026) · Frontiers in Energy Research · doi

    The lack of effective algorithms for multi-objective optimal power flow with renewable energy sources. The need for algorithms that can handle the uncertainty of renewable energy sources. The requirement for algorithms that can achieve optimal power flow while reducing total generation costs and adhering to system constraints.

    generalstated research gapevidence 5/5
    Keywords: lack effective algorithms multi-objective optimal power flow renewable

Questions about this gap

The lack of efficient optimization frameworks for multi-objective optimal power flow problems with renewable energy sources. The need for a hybrid algorithm that combines global-be… This is supported by 4 representative gap statements extracted from 4 papers, rated weak evidence.

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