A solution to the Single-School school bus routing problem considering accessibility and economy by Zizhan Jiang, Jiying Wang, Siyuan Huang, Hua Daniel Xu

“…In the third stage, Dijkstra’s algorithm is combined with GIS to optimize the bus routes, with a focus on accessibility and economy.Experimental results demonstrate that the THGO method can efficiently find the global optimal solution while satisfying constraints such as time windows, bus capacity, and road directionality. …”
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Unified Models and MILP-Based Scheduling Method for Home DC Microgrids: A Novel Approach to Overloading by Je-Heon Kang, Hye-Gyu Lee, Pyeong-Ik Hwang

“…The scheduling problem in which to implement these strategies is formulated as a mixed-integer nonlinear programming (MINLP) problem, for which finding optimal solutions can be challenging. …”
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Interval Economic Dispatch for Commercial Campus Integrated Energy System with Demand Response Considering Multiple Uncertainties by Xuan Sheng, Shunjiang Lin, Weikun Liang, Yue Pan, Mingbo Liu

“…The order relation and the possibility degrees of intervals are used to transform the interval ED model into a bi-level optimization model. The extreme value theorem of linear interval functions is used to obtain the analytical expressions of the optimal solutions of inner-level models, and the ED model is finally transformed into a solvable mix-integer linear programming model. …”
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A trade-off between line hardening and dynamic line rating by a new convex optimization model for resilient micro-grid-oriented expansion planning of reconfigurable smart distribut... by Saeed Behzadi, Amir Bagheri

“…The presented approach considers the total cost (including construction costs, operational costs, and CO2 emission costs) and load shedding as the objective functions within a multi-objective optimization, and takes into account all the operational constraints and AC power flow equations. …”
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Bidding strategies for virtual power plants under the electricity-carbon joint market taking into account wind and solar uncertainties by Shuangchi ZHAO, Hong LIN, Haiyun WANG

“…The model is then solved as a mixed-integer linear program using the column-and-constraint generation algorithm, strong duality and the Big-M method. …”
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Program Scheduling With Multi-Skill and External Resource Coordination Consideration Using Improved NSGA-II: Case Study by Heng Zhang, Jingbo Zhou, Huaying Ruan, Yixuan Qin

“…Resource allocation is crucial for ensuring timely completion of project deliverables within resource constraints. This study tackles the scheduling challenge under the condition of composite skills, with the goal of efficiently allocating diverse human resources while adhering to constraints such as external labor coordination and skill compatibility. …”
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Iterative Configuration of T-Timed Colored Petri Nets by a MILP Model for Rail Freight Volume and Rolling Stock Planning by Grazielle F. da Silva, Lucas S. M. Guedes, Rodney R. Saldanha, Carlos Andrey Maia, Tomas B. F. Tamantini

“…This study presents a hybrid simulation-optimization framework for the strategic long-term planning of railway operations. …”
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Employing Quantum Entanglement for Real-Time Coordination of Distributed Electric Vehicle Charging Stations: Advancing Grid Efficiency and Stability by Dawei Wang, Hanqi Dai, Yuan Jin, Zhuoqun Li, Shanna Luo, Xuebin Li

“…The proposed framework incorporates renewable intermittency, demand elasticity, and infrastructure constraints within a high-dimensional optimization model. …”
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Modeling of project activities for UAV modernization to conduct swarm drone attack missions by Oleg Fedorovych, Leonid Malieiev, Oleksii Hubka, Andrei Popov

“…To address this, an optimization model based on integer (Boolean) programming was developed for selecting the most rational UAV component architecture. …”
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Multi-objective bi-level programming algorithm to design transition mechanism for wind farm participation in electricity markets by Wenjing Zhu, Ping Dong, Yuke Lu, Mingbo Liu

“…The lower level model jointly clears day-ahead and real-time energy and reserve markets considering the uncertainty of wind farm’s outputs via stochastic optimization problem to maximize social welfare. The bi-level model is transformed into a multi-objective mixed-integer nonlinear programming model using the Karush-Kuhn-Tucker condition and the big M method. …”
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Flexibility-Constrained Energy Management of Smart Energy Hubs Considering Peer to Peer Transactive Energy and Demand Response Program by Ali Riki, Mahmoud Oukati Sadegh, Omid Narouei

“…The proposed model is a Mix Integer Non-Linear Problem (MINLP), which was solved using SCIP solver in GAMS software. …”
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Robust Planning for Hydrogen-Based Multienergy System Considering P2HH and Seasonal Hydrogen Storage by Shufan Wang, Dong Yang, Linglu Zhang, Lingzhi Chenmei

“…The complex constraints resulting from producing two independent binary variables are converted into mixed integer linear constraints, which can be solved effectively using the nested column-and-constraint generation algorithm. …”
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A Metaheuristic Method for the Task Assignment Problem in Continuous-Casting Production by Hongtao Hu, Yiwei Wu, Tingsong Wang

“…This problem is formulated as a nonlinear mixed-integer programming model aimed at minimizing total tardiness within the resource constraints and time windows constraints for the tasks. …”
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Security-driven service caching and computation offloading strategy in air-ground collaborative edge computing networks by WU Mengru, KONG Yawei, HAN Huimei, LU Haiquan, SI Peiyuan, LU Weidang, GUO Lei

“…Since the formulated problem was a mixed-integer nonlinear programming problem that was difficult to solve, an effective bi-level optimization algorithm was developed based on alternating optimization and cross-entropy methods. …”
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Bi-level coordinated operation strategy of an active distribution system with load aggregators by Mengjun Shen, Lingling Wang, Zongxiang Lu

“…In this paper, a bi-level coordinated optimization model for distribution system operator (DSO) with multiple LAs is constructed. …”
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The Hub Location and Flow Assignment Problem in the Intermodal Express Network of High-Speed Railways and Highways by Xiaoting Shang, Zhenghang Wang, Xin Cheng, Xiaoyun Tian

“…Considering the characteristics of multiple modes, flow balance, carbon emission, capacity constraints, and time constraints in the intermodal express network, a mixed-integer linear programming model is proposed with the objective of minimizing the total cost by determining the hub locations, allocations, mode selections, and flow assignments. …”
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Analytical Approximation-Based Approach for Passenger Flow Control Strategy in Oversaturated Urban Rail Transit Systems by Qian Zhu, Xiaoning Zhu, Pan Shang, Lingyun Meng

“…To further provide an integrated optimization framework from both the supply and demand sides, we extend the abovementioned passenger flow control optimization model into an integrated mixed-integer nonlinear programming model to jointly optimize the passenger-flow control strategy and train frequency setting. …”
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A Model for Bus Crew Scheduling Problem with Multiple Duty Types by Mingming Chen, Huimin Niu

“…An optimization model is formulated as a 0-1 integer programming problem to improve the efficiency of crew scheduling at the minimum expense of total idle time of crew for a circle bus line. …”
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CO2 Emission-Constrained Short-Term Unit Commitment Problem Using Shuffled Frog Leaping Algorithm by K. Selvakumar, D. Selvabharathi, R. Palanisamy, T. M. Thamizh Thentral

“…The increasing concerns about greenhouse gas emissions have made it necessary to incorporate environmental constraints in the operation of power systems. The CO2 emission-constrained short-term unit commitment problem (CSCUCP) is a multiobjective optimization problem that involves minimizing both the cost of operation and the CO2 emissions. …”
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Mathematical Programming for Sustainable Heat Alternatives Selection in a High-altitude Region: a Case Study of Pamplona-north of Santander by Alvaro E. Villamizar-Villamizar, Ana M. Rosso-Ceron, David J. Mayo-Florez

“…Employing integer linear programming, a multi-objective optimization model was developed to simultaneously minimize the total present value and CO2 emissions. …”
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