Utility-Oriented Placement of Actuator Nodes with a Collaborative Serving Scheme for Facilitated Business and Working Environments by Chi-Un Lei, Woon Kian Chong, Ka Lok Man

“…The problem has been converted into a binary integer linear programming optimization problem. Service fading, 3D placements, multiscenario placements, and fault-tolerant placements have been modeled in the framework. …”
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An Adaptive Large Neighborhood Search Heuristic for the Electric Vehicle Routing Problems with Time Windows and Recharging Strategies by Ya-ru Duan, Yong-shi Hu, Peng Wu

“…For this problem, we first develop a mixed-integer linear programming model defined in a series of vertices including a depot, a series of recharging stations, and a set of customers. …”
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Optimisation of Airline Dynamic Multileg Capacity Control Problem considering Competition from High-Speed Rail by Qian Bian, Liying Song

“…The deterministic linear programming (DLP) method is proposed as a model solution, enabling the computation of partitioned allocation and the bid price of each product. …”
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Sizing a Hybrid Renewable Energy System by a Coevolutionary Multiobjective Optimization Algorithm by Wenhua Li, Guo Zhang, Xu Yang, Zhang Tao, Hu Xu

“…Such an optimization problem is generally a constrained mixed-integer programming problem, which is usually solved by linear programming method. However, as more and more devices are added into MG, the mathematical model of HRES refers to nonlinear, in which the traditional method is incapable to solve. …”
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Performance Optimization Method of Community Sports Facilities Configuration Based on Linear Planning Model by Xuefeng Tan, Chenggen Guo, Pu Sun, Shaojie Zhang

“…The conventional community sports facility allocation methods have high minimum costs, and a new community sports facility allocation performance optimization method is designed based on a linear programming model in order to reduce the performance capital investment. …”
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Optimal Route Assignment at the Bus Hub with Multiple Berths for Minimal Passenger Transfer Distance by Yan-Pei Zhang, Hui Jin, Hai-Ming Hao, Xiao-Guang Yang

“…The problem is modeled with integer linear programming, with the constraints of bus service capacity. …”
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The Comparison of Lately Proposed Harris Hawks Optimization and Jaya Optimization in Solving Directional Overcurrent Relays Coordination Problem by Jiangtao Yu, Chang-Hwan Kim, Sang-Bong Rhee

“…To test its performances in solving the DOCRs coordination problem, it is adopted in 3-bus, 4-bus, 8-bus, and 9-bus systems, which are formulated by three kinds of optimization models as linear programming (LP), nonlinear programming (NLP), and mixed integer nonlinear programming (MINLP), according to the nature of the design variables. …”
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Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology by M. Sarwar Sindhu, Tabasam Rashid, Agha Kashif, Juan Luis García Guirao

“…In order to cope with this problem, we construct the linear programming (LP) methodology to find the exact values of the weights for the criteria. …”
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Emergency Resource Location and Allocation in Traffic Contingency Plan for Sports Mega-Event by Ling Shen, Jian Lu, Ling Deng, Manman Li

“…Considering the uncertainty of emergency incidents, we then construct a mixed integer linear programming model. To solve this model, the bisection method is used to import the material quantity placed in each emergency facility, and the shortest path algorithm is used to import the rescue time matrix. …”
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Model Identification of Unobservable Behavior of Discrete Event Systems Using Petri Nets by Guanghui Zhu, Ya Wang, Yajie Wang

“…Some unobservable transitions modeling the unknown system behavior are identified from the transition sequence by formulating and solving integer linear programming problems. These identified unobservable transitions together with the given partial Petri net model characterize the whole system, including observable and unobservable behavior. …”
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An Optimization Model for Reducing Pumping Costs in Water Distribution Systems by Abbasali Rezapour

“…The development of this framework commenced with the formulation of the issue as a mixed nonlinear programming problem, which subsequently underwent transformation into a mixed linear programming model through the application of linearization methodologies. …”
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Evaluation of Power Saving and Feasibility Study of Migrations Solutions in a Virtual Router Network by V. Eramo, S. Testa, E. Miucci

“…In this paper we formulate the problem of minimizing the power consumption as a Mixed Integer Linear Programming (MILP) problem. Due to the hard complexity of the introduced MILP problem, we propose a heuristic for the migration of virtual routers among physical devices in order to turn off as many nodes as possible and save power according to the compliance with network node and link capacity constraints. …”
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Optimal Operation Scheme with Short-Turn, Express, and Local Services in an Urban Rail Transit Line by Tao Feng, Siyu Tao, Zhengyang Li

“…Then, a mixed-integer nonlinear program (MINLP) model is formulated, and linearization techniques are utilized to transform the MINLP model into a mixed-integer linear programming (MILP) model that can be easily solved by commercial optimization solvers. …”
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Service function chain embedding algorithm with wireless multicast in mobile edge computing network by Kan WANG, Nan ZHAO, Junhuai LI, Huaijun WANG

“…To resolve the excessive system overhead and serious traffic congestion in user-oriented service function chain (SFC) embedding in mobile edge computing (MEC) networks,a content-oriented joint wireless multicast and SFC embedding algorithm was proposed for the multi-base station and multi-user edge networks with MEC servers.By involving four kinds of system overhead,including service flow,server function sustaining power,server function service power and wireless transmission power,an optimization model was proposed to jointly design SFC embedding with multicast beamforming.Firstly,with Lagrangian dual decomposition,the problem was decoupled into two independent subproblems,namely,SFC embedding and multicast beamforming.Secondly,with the L<sub>p</sub> norm penalty term-based successive convex approximation algorithm,the integer programming-based SFC embedding problem was relaxed to an equivalent linear programming one.Finally,the non-convex beamforming optimization problem was transformed into a series of convex ones via the path following technique.Simulation results revealed that the proposed algorithm has good convergence,and is superior to both the optimal SFC embedding with unicasting and random SFC embedding with multicasting in terms of system overhead.…”
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Optimal Matching Metaheuristic Algorithm for Potential Areas of Agricultural Economic Resources Development Based on Spatial Relationship by Jianying Zhang, Xuebin Feng

“…Secondly, the multiobjective linear programming model is proposed. Based on this multiobjective model, the optimal matching model for potential areas of agricultural economic resource development is constructed, and the improved genetic algorithm is used to solve the model to realize the optimal matching of potential areas of agricultural productivity and economic resource development. …”
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Model predictive control for on–off charging of electrical vehicles in smart grids by Ye Shi, Hoang D. Tuan, Andrey V. Savkin, H. Vincent Poor

“…The joint coordination problem is formulated by a mixed integer non‐linear programming (MINP) with binary charging and continuous voltage variables and is solved by a highly novel computational algorithm. …”
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Multi-echelon reverse logistics network design in the context of circular economy: a Hong Kong case study by Kai Kang, Bing Qing Tan

“…Consequently, construction industry leaders are advocating for development of reverse logistics networks for multiple types of CDW by solving a multi-objective mixed-integer linear programming model, which aims to restore waste for new structures toward circular economy. …”
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Station Location Optimization for the One-Way Carsharing System: Modeling and a Case Study by Yongjun Chen, Lulin Wang, Jingjing Tian

“…This paper develops a data-driven mixed-integer linear programming (MILP) model for planning one-way carsharing systems that consider the spatial distribution of demand and the interacting decisions between stations. …”
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A model for making investment decisions contributing to the heating supply companies’ development, taking into account the restrictions arising in the applying tariffs conditions w... by T. B. Malkova, N. G. Verstina, M. V. Gamm

“…The simplex method is one of the methods for solving linear programming problems. An algorithm for optimizing the development function of the heating supply system by the simplex method and the index of the development of HSC in the conditions of applying tariffs using the “alternative boiler hous” method is proposed. …”
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Multi-Task Simultaneous Supervision by Afifah Rizka, Sukoyo Sukoyo, Muhammad Akbar

“…The mathematical model developed uses three techniques: Mixed-Integer Linear Programming (MILP), Mixed-Integer Quadratic Programming (MIQP), and Mixed-Integer Quadratically Constrained Programming (MIQCP). …”
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