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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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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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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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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Millimeter-Wave Underlay D2D Communications: Channel Assignment, Transmission mode Selection and Power Control for Full-CSI and Limited-CSI Scenarios by Nima Reisi

“…As the optimization problem is mixed-integer-non-linear programming, two heuristic algorithms are proposed, assuming full Channel Side Information (CSI) and limited CSI at Base Station, respectively. …”
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Safe cooperative control of CAVs at signal-free intersection under realistic scenarios by Yuta Nakai, Toru Namerikawa

“…In the first stage, the merging time, defined for each CAV as the time at which the CAV reaches the intersection, is obtained by solving mixed integer linear programming (MILP). In the second stage, each CAV solves an optimal control problem to determine the control input that allows it to reach the intersection at the merging time obtained in the first stage. …”
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The climate impact and land use of cultivated meat: Evaluating agricultural feedstock production. by Hanno Kossmann, Thorsten Moess, Peter Breunig

“…The specific objectives are to determine the minimum land area required to produce a certain amount of cell medium-feedstock for CM production-on agricultural land and to identify potential future land use scenarios assuming that the macro components of the cell medium are solely produced from common agricultural crops in southern Germany. A linear programming model was developed to analyze four different scenarios of CM production, considering factors such as crop rotation, nutrient sourcing, and solar energy use. …”
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Robust Train Scheduling Problem with Optimized Maintenance Planning on High-Speed Railway Corridors: The China Case by Chuntian Zhang, Yuan Gao, Wenjie Li, Lixing Yang, Ziyou Gao

“…Furthermore, some linearization techniques are used to formulate a mixed-integer linear programming (MILP) model. Finally, numerical experiments are implemented to prove the effectiveness of the proposed model and optimization method.…”
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A Hybrid Estimation of Distribution Algorithm and Nelder-Mead Simplex Method for Solving a Class of Nonlinear Bilevel Programming Problems by Aihong Ren, Yuping Wang, Fei Jia

“…In the proposed approach, for fixed upper level variable, we make use of the optimality conditions of linear programming to deal with the follower’s problem and obtain its optimal solution. …”
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A hybrid particle swarm optimization algorithm for single machine scheduling with sequence-dependent setup times and learning effects by Payam Chiniforooshan, Dragan Marinkovic

“…A Mixed Integer Linear Programming (MILP) model capable of solving small-sized problems is proposed to formulate this problem. …”
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A Competitive Bilevel Programming Model for Green, CLSCs in Light of Government Incentives by Arsalan Rahmani, Meysam Hosseini, Amir Sahami

“…So, a bilevel mixed-integer linear programming model is formulated. The objective function at both levels includes market capture profit, fixed and operating costs, and financial incentives. …”
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Performance measurement in data envelopment analysis: a BCC-based approach by Azam Pourhabib Yekta, Mahnaz Maghbouli

“…Purpose: Data Envelopment Analysis (DEA) is a technique used to assess performance and measure the relative efficiency of Decision Making Units (DMUs) through linear programming. In most cases, DEA models evaluate inefficient units on the boundary of the production possibility set using reference points that are not Pareto efficient. …”
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A Short Turning Strategy for Train Scheduling Optimization in an Urban Rail Transit Line: The Case of Beijing Subway Line 4 by Miao Zhang, Yihui Wang, Shuai Su, Tao Tang, Bin Ning

“…The MINLP model is then transformed into a mixed integer linear programming (MILP) model according to several transformation properties. …”
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Optimization of the Shunting Operation Plan at Electric Multiple Units Depots by Jintang Shi, Haodong Li

“…As the SOP is currently handled manually by dispatchers, this paper proposes two integer linear programming models for two types of yards for daily planning and dispatching, which aim at minimizing the total delay time of all EMUs during the planning horizon. …”
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Revisiting a Cutting-Plane Method for Perfect Matchings by Chen, Amber Q., Cheung, Kevin K. H., Kielstra, P. Michael, Winn, Avery D.

“…On large graphs (roughly $m>100$), these perturbations lead to cost values that exceed the precision of floating-point formats used by typical linear programming solvers for numerical calculations. We demonstrate, by a sequence of counterexamples, that perturbations are required for the algorithm to work, motivating our formulation of a general method that arrives at the same solution to the problem as Chandrasekaran et al. but overcomes the limitations described above by solving multiple linear programs without using perturbations. …”
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