Integration of Conditional Value-at-Risk (CVaR) in Multi-Objective Optimization

Authors

  • Juandan Luo

DOI:

https://doi.org/10.62051/hb75mv91

Keywords:

Multi-Objective Optimization, Conditional Value-at-Risk (CVaR), Risk Management, Portfolio Optimization, Pareto Optimality.

Abstract

 This paper explores the integration of Conditional Value-at-Risk (CVaR) into the field of Multi-Objective Optimization (MOO), offering insights into its mathematical basis, significance in risk assessment, and application in complex decision-making scenarios. It discusses the challenges of MOO, presents traditional solution methods, and examines the advantages and limitations of CVaR. The article highlights the flexibility of CVaR as an objective function, particularly in financial portfolio optimization, and discusses future research directions for enhancing its computational techniques, expanding application areas, and improving responsiveness to real-world dynamics.

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References

[1] Nguyen, Quoc Phong, et al. "Optimizing conditional value-at-risk of black-box functions." Advances in Neural Information Processing Systems 34 (2021): 4170-4180.

[2] Filippi, Carlo, Gianfranco Guastaroba, and Maria Grazia Speranza. "Conditional value‐at‐risk beyond finance: a survey." International Transactions in Operational Research 27.3 (2020): 1277-1319.

[3] Soma, Tasuku, and Yuichi Yoshida. "Statistical learning with conditional value at risk." arXiv preprint arXiv:2002.05826 (2020).

[4] Hiraoka, Takuya, et al. "Learning robust options by conditional value at risk optimization." Advances in Neural Information Processing Systems 32 (2019).

[5] Chapman, Margaret P., et al. "Risk-sensitive safety analysis using Conditional Value-at-Risk." IEEE Transactions on Automatic Control 67.12 (2021): 6521-6536.

[6] Ying, Chengyang, et al. "Towards safe reinforcement learning via constraining conditional value-at-risk." arXiv preprint arXiv:2206.04436 (2022).

[7] Xuan, Ang, et al. "A conditional value-at-risk based planning model for integrated energy system with energy storage and renewables." Applied Energy 294 (2021): 116971.

[8] Mhammedi, Zakaria, Benjamin Guedj, and Robert C. Williamson. "Pac-bayesian bound for the conditional value at risk." Advances in Neural Information Processing Systems 33 (2020): 17919-17930.

[9] Kishida, Masako, and Ahmet Cetinkaya. "Risk-aware linear quadratic control using conditional value-at-risk." IEEE Transactions on Automatic Control 68.1 (2022): 416-423.

[10] Kim, Dohyeong, and Songhwai Oh. "TRC: Trust region conditional value at risk for safe reinforcement learning." IEEE Robotics and Automation Letters 7.2 (2022): 2621-2628.

[11] Thomas, Philip, and Erik Learned-Miller. "Concentration inequalities for conditional value at risk." International Conference on Machine Learning. PMLR, 2019.

[12] Li, Wei, et al. "A new approach to solve uncertain multidisciplinary design optimization based on conditional value at risk." IEEE Transactions on Automation Science and Engineering 18.1 (2020): 356-368.

[13] Yin, Ji, Zhiyuan Zhang, and Panagiotis Tsiotras. "Risk-aware model predictive path integral control using conditional value-at-risk." 2023 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2023.

[14] Lotfi, Reza, et al. "A ROBUST OPTIMIZATION MODEL FOR SUSTAINABLE AND RESILIENT CLOSED-LOOP SUPPLY CHAIN NETWORK DESIGN CONSIDERING CONDITIONAL VALUE AT RISK." Numerical algebra, control & optimization 11.2 (2021).

[15] Kolla, Ravi Kumar, et al. "Concentration bounds for empirical conditional value-at-risk: The unbounded case." Operations Research Letters 47.1 (2019): 16-20.

[16] Wang, Liao, and David D. Yao. "Production Planning with Risk Hedging Under a Conditional Value at Risk Objective." Operations Research (2023).

[17] Zhu, Baolin, et al. "Coordinating a dual-channel supply chain with conditional value-at-risk under uncertainties of yield and demand." Computers & Industrial Engineering 139 (2020): 106181.

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Published

13-09-2024

How to Cite

Luo, J. (2024). Integration of Conditional Value-at-Risk (CVaR) in Multi-Objective Optimization. Transactions on Engineering and Technology Research, 3, 92-97. https://doi.org/10.62051/hb75mv91