Reliability Analysis of High-Pressure Tunnel System Under Multiple Failure Modes Based on Improved Sparrow Search Algorithm–Kriging–Monte Carlo Simulation Method by Yingdong Wang, Chen Xing, Leihua Yao

“…It is often difficult for a structural safety design method based on deterministic analysis to fully and reasonably reflect the randomness of mechanical parameters, while the traditional reliability analysis method has a large calculation cost and low accuracy. …”
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Comparing variable neighbourhood search algorithms for the direct aperture optimisation in radiotherapy by Mauricio Moyano, Keiny Meza-Vasquez, Gonzalo Tello-Valenzuela, Nicolle Ojeda-Ortega, Carolina Lagos, Guillermo Cabrera-Guerrero

“…The VND algorithm is a deterministic variant of VNS that systematically explores different neighbourhood structures. …”
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Numerical implementation of a stochastic differential equation of motion by Saúl Moisés Torres Murga

“…To do this, it was required to model Brownian motion since it efficiently represents the randomness of the phenomenon. …”
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Reliability-Based Optimum Design of Dome Truss Structures through Enhanced Vibration Particle System by Pedram Hosseini, Nasibeh Hatami, Seyed Rohollah Hoseini Vaez

“…The Reliability-Based Design Optimization (RBDO) method has been utilized to create the most efficient and safe design of structures. …”
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Reliability-Based Optimization of Impeller Structure Using Exponential Function Approximation by Haiwei Lin, Yiqun Ren, Hong Bao, Feng Zhang, Feifei Zhao, Xiya Bao

“…The results indicate that the proposed method can provide significantly improved computational efficiency while maintaining optimization accuracy comparable to that obtained by traditional double-loop optimization methods. …”
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Improving heat exchanger fouling detection for phosphoric acid concentration units: A hybrid inverse approach integrating genetic algorithms and the Levenberg-Marquardt technique by Ridha Zitouni, Ali Fguiri, Amine Aymen Assadi, Mohammod Hafizur Rahman, Abdetif Amrane, Juan Pedro Solano, Mohamed-Razak Jeday

“…The GA method converges to the global minimum more slowly compared to the deterministic method. …”
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Random uncertain motor parameters identification combining fourth-order moment and trust region by Wengui Mao, Congcong Liao, Jie Guo, Xuemei Wu, Jianhua Li

“…In this paper, the fourth-order moment method and trust region model management technology are combined to reduce the dependence of the surrogate model accuracy and improve the computational efficiency. …”
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Seismic Reliability Analysis of Highway Pile–Plate Structures Considering Dual Stochasticity of Parameters and Excitation via Probability Density Evolution by Liang Huang, Ge Li, Chaowei Du, Yujian Guan, Shizhan Xu, Shuaitao Li

“…Compared to the Monte Carlo method, probability density evolution shows significant advantages in computational accuracy and efficiency for large-scale systems, revealing enhanced discreteness and irregularity under combined randomness. …”
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A two-stage optimization model for relief logistics and distribution to disaster survivors under two-fold uncertainty by Palash Sahoo

“…The genetic algorithm and particle swarm optimization techniques have been proposed to find the optimal solution for the two deterministic models. The efficiency of our proposed approach is demonstrated with a real-life numerical example.…”
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multi-objective mathematical model for optimizing the collection and recycling of urban waste under conditions of uncertainty(The subject of study : Karaj city) by Mohsen Bijanpoor, Reza Ehtesham Rasi, Davood Gharakhany

“…Since the parameters and information required for designing the waste supply chain network are not always certain, designing the supply chain in a deterministic way decreases its practical efficiency. …”
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Identification and Valuation of Economic Activities Reserves as a Priorityin Strategic Analysis by Svetlana Evgen’evna Egorova, Natal’ya Nikolaevna Kistaeva

“…Comparative characteristics of the major methods of reserves valuation: method of direct evaluation, method of comparison, deterministic factor analysis, correlation and regression analysis, value analysis, mathematical programming are provided. …”
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MM3: Multimodal framework for regional-scale quantitative landslide risk analysis by William Pollock, Joseph Wartman

“…However, to date, no readily transferable, regional-scale method for PLRA exists. In this work, we expand an existing deterministic multimodal method for landslide risk analysis developed in the country of Lebanon into a linked framework of code-based modules that are location-agnostic and computationally efficient for regional end-to-end risk estimation. • Use of near-global, remote-sensing-based inputs enables risk estimates almost anywhere in the world • Modular computational framework facilitates upgrades of component models as new research becomes available • Probabilistic implementation through a Monte Carlo approach…”
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Maximum a posteriori estimation for high-throughput peak fitting in X-ray photoelectron spectroscopy by Tarojiro Matsumura, Naoka Nagamura, Shotaro Akaho, Kenji Nagata, Yasunobu Ando

“…The computation is performed efficiently by the spectrum-adapted expectation–conditional maximisation algorithm with deterministic annealing. …”
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A comparative approach of analyzing data uncertainty in parameter estimation for a Lumpy Skin Disease model by Edwiga Renald, Miracle Amadi, Heikki Haario, Joram Buza, Jean M. Tchuenche, Verdiana G. Masanja

“…This has driven the interest to research efficient mitigating measures towards controlling the transmission of LSD. …”
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Leveraging Transfer Learning in Deep Reinforcement Learning for Solving Combinatorial Optimization Problems Under Uncertainty by Fatima Ezzahra Achamrah

“…In recent years, addressing the inherent uncertainties within Combinatorial Optimization Problems (COPs) reveals the limitations of traditional optimization methods. Although these methods are often effective in deterministic settings, they may lack flexibility and adaptability to navigate the uncertain nature of real-world COP/s. …”
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On the development and analysis of a comprehensive police patrolling model by Fatemeh Mousapour, Rajan Batta, Jose L. Walteros

“…Numerical experiments are conducted to (a) evaluate the computational efficiency of the proposed methods, and (b) explore sensitivity analysis with respect to key parameters. …”
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THE CONTROLLER OF FUZZY LOGIC IN THE MANAGEMENT OF TECHNOLOGICAL PROCESSES by S. V. Shilkina, E. N. Fokina

“…However, the classical control methods work well only with a completely deterministic control object and deterministic environment, but for fuzzy information systems and highly complex control object, fuzzy control methods are optimal. …”
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A novel explicit scheme for stochastic diffusive SIS models with treatment effects by Muhammad Shoaib Arif

“…The scheme is designed as an explicit two-stage method, where only the time-dependent terms are discretized, ensuring computational efficiency. …”
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Conceptual bases for assessing and modeling sustainable development of a region as an ecological‐socio‐economic system (the example of the Republic of Dagestan) by M. M. Magomedova, U. A.-I. Kurbanova, K. D. Dakhdueva

“…In this regard, the study used methods of quantitative research, which are based on factorial, genetic and normative approaches, including methods of expert assessments, balance planning methods, economic and mathematical methods of optimization and assessment of economic efficiency.Results. …”
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System of Interconnected Reactor Models of the Sulfur Recovery Unit with Hydrogen Extraction for Hydrogen Energy in a Fuzzy Environment by Batyr Orazbayev, Kulman Orazbayeva, Kanagat Dyussekeyev, Tursinbay Turymbetov, Ramazan Yessirkessinov, Ainur Zhumadillayeva

“…This study proposes a systematic modeling approach that integrates deterministic, statistical, and fuzzy logic methods to enhance process efficiency and accuracy. …”
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