Multi-Objective Combinatorial Optimization Problems and Solution Methods

Dr. Mehdi Toloo is a Full Professor in the Faculty of Economics, Technical University of Ostrava, and Faculty of BusinessAdministration, University of Economics, Prague, Czech Republic. He received his Masters of Science in Applied Mathematics and his Ph.D. in Operations Research. Dr. Toloo’s areas of interest include Operations Research, Decision Analysis, PerformanceEvaluation, Multi-Objective Programming, and Mathematical Modelling. He has contributed to numerous international conferencesas a chair, keynote speaker, and member of the scientific committee. He is an area editor for the Elsevier journal Computers andIndustrial Engineering and an associate editor for RAIRO-Operations Research. His publications include the book Introduction toScientific Computing: 100 Problems and Solutions in Pascal and papers in top-tier journals such as Applied Mathematics andComputers, Applied Mathematic Modeling, Expert Systems with Applications, and Computers and Mathematics with Applications. Dr. Siamak Talatahari received his Ph.D degree in Structural Engineering from University of Tabriz, Iran. After graduation, hejoined the University of Tabriz where he is presently Professor of Structural Engineering. He is the author of more than 100 paperspublished in international journals, 30 papers presented at international conferences and 8 international book chapters. Dr. Talataharihas been recognized as Distinguished Scientist in the Ministry of Science and Technology and as Distinguished Professor at theUniversity of Tabriz. He also teaches at the Yakin Dogu University, Nicosia, Cyprus. In addition, he is a co-author with our authorXin-She Yang of Swarm Intelligence and Bio-Inspired Computation: Structural Optimization Using Krill Herd Algorithm;Metaheuristics in Water, Geotechnical and Transport Engineering, and Metaheuristic Applications in Structures andInfrastructures, all published by as Insights by Elsevier. Dr Iman Rahimi is an experienced Machine Learning Engineer and Data Scientist with over a decade in AI, optimisation, and high-performance computing. He specialises in developing, deploying, and managing advanced ML models, including LLMs and NLP systems, using TensorFlow, PyTorch, and scikit-learn. His expertise extends to GPU-accelerated computing, cloud data platforms (AWS, Azure), and scalable MLOps practices with FastAPI, Flask, and Django. He has led research in energy systems, optimisation, and delivering high-impact solutions for industry and academia. Iman is widely published, with numerous high-impact journal articles and edited books in AI, operations research, and data analytics.

• 1. Multi-objective combinatorial optimization problems: Social, Keywords, and Journal mapsMehdi Toloo, Siamak Talatahari, Iman Rahimi and Amir H. Gandomi2. The Fundamentals and Potential of Heuristics and Metaheuristics for Multi-Objective Combinatorial Optimization Problems and Solution Methods Ana Carolina Borges Monteiro, Reinaldo Padilha França, Rangel Arthur, Yuzo Iano and Reinaldo Padilha França3. A survey on links between multiple objective decision making and data envelopment analysisAmineh Ghazi and Farhad Hosseinzadeh LotfiII. New methods for combinatorial optimization problems4. Improved Crow Search Algorithm Based on Arithmetic Cross Over- A Novel Metaheuristic Technique for Solving Engineering Optimization ProblemsS N Kumar, A Lenin Fred, R. Jonisha Miriam, Padmanabhan Parasuraman, Balazs Gulyas, Ajay Kumar Haridhas and Nisha Dayana5. MOGROM: Multi-objective Golden Ratio Optimization AlgorithmBehrooz Vahidi, Amin Foroughi and Abolfazl RahiminejadIII. Application of random-based methods for combinatorial optimization problems6. Multi-Objective Charged System Search for Optimum Location of Bank BranchSiamak Talatahari7. Application of Multi-objective Grey Wolf Optimization in Gasification-based ProblemsSiamak Talatahari8. A VDS-NSGA-II Algorithm for Multi-Year Multi-Objective Dynamic Generation and Transmission Expansion Planning Ali Esmaeel Nezhad9. A Multi-Objective Cuckoo Search Algorithm for Community Detection in Social NetworksFarhad Soleimanian Gharehchopogh and Shafih GhaforiIV. Application of other methods for combinatorial optimization problems10. Finding efficient solutions of the multi-criteria assignment problemEmmanuel Kwasi Mensah, Esmaeil Keshavarz and Mehdi Toloo11. Application of Multi-objective Optimization in Thermal Design and Analysis of Complex Energy Systems Ali Baghernejad and Elnaz Aslanzadeh12. A Multi-Objective Nonlinear Combinatorial Model for Improved Planning of Tour Visits Using a Novel Binary Gaining-Sharing knowledge-based Optimization AlgorithmAli Wagdy wagdy, Said Hassan, Prachi Agrawal and Talari Ganesh13. Variables Clustering Method to Enable Planning of Large Supply ChainsEmilio Bertolotti Sr