Local controllability and optimal control for\newline a model of combined anticancer therapy with control delays by Jerzy Klamka, Helmut Maurer, Andrzej Swierniak

“…Our numerical approach uses dicretization and nonlinear programming methods as well as the direct optimization of switching times. …”
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A Competitive Swarm Optimizer-Based Technoeconomic Optimization with Appliance Scheduling in Domestic PV-Battery Hybrid Systems by Bo Wang, Yanjing Li, Fei Yang, Xiaohua Xia

“…To solve the proposed mixed-integer nonlinear programming problem at a large scale, a competitive swarm optimizer-based numerical solver is designed and employed. …”
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RESEARCH ON THE OPTIMAL SYNTHESIS OF A MULTI-CONTOUR MECHANISM by Dorin Bădoiu

“…The synthesis of mechanisms is a complex field of study that includes, in addition to the knowledge necessary for the correct configuration of working mechanisms and those necessary for their analysis, knowledge from the field of nonlinear programming that involves the calculation of the extrema of an objective function, possibly subject to some constraints. …”
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Optimal Design of Cordon Sanitaire for Regular Epidemic Control by Hongzhi Lin

“…A bilevel programming model is formulated where the lower-level is the transport system equilibrium with queueing to predict traffic inflow, and the upper-level is queueing network optimization, which is an integer nonlinear programming. The objective of this optimization is to minimize the total operation cost of checkpoints with a predetermined maximum waiting time. …”
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Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming Problems by Israa Hadi, Iden H. Al Kanani

“…Several approaches, including linear programming, nonlinear programming, genetic algorithms, and computational intelligence algorithms, have been suggested to handle fully fuzzy fractional linear programming (FFFL) problems. …”
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Optimal control problems with time delays: Two case studies in biomedicine by Laurenz Göllmann, Helmut Maurer

“…After discussing the necessary optimality conditions for delayed optimal control problems with control-state constraints, we propose discretization methods by which the delayed optimal control problem is transformed into a large-scale nonlinear programming problem. The first case study is concerned with the delay differential model in [21] describing the tumour-immune response to a chemo-immuno-therapy. …”
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Achieving Fair Spectrum Allocation and Reduced Spectrum Handoff in Wireless Sensor Networks: Modeling via Biobjective Optimization by Sang-Seon Byun, Kimmo Kansanen, Ilangko Balasingham, Joon-Min Gil

“…We cast this problem into a multiobjective mixed integer nonconvex nonlinear programming that is definitely difficult to solve at least globally without any aid of conversion or approximation. …”
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Cross-Layer Throughput Optimization in Cognitive Radio Networks with SINR Constraints by Miao Ma, Danny H. K. Tsang

“…Since the formulation is in the forms of mixed integer nonlinear programming (MINLP), which is generally a hard problem, we develop a heuristic method by solving a relaxation of the original problem, followed by rounding and simple local optimization. …”
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A Novel Approach to Supply the Water Reservoir Demand Based on a Hybrid Whale Optimization Algorithm by Alireza Donyaii, Amirpouya Sarraf, Hassan Ahmadi

“…., the whale optimization and differential evolution) based on GAMS nonlinear programming results. The model evaluative indicators and an objective function were used to select the optimal algorithm. …”
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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

“…First, we develop a mixed integer nonlinear programming (MINLP) model for the train scheduling, where short turning train services and full-length train services are optimized based on the predefined headway obtained by the passenger demand analysis. …”
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Applying Hybrid PSO to Optimize Directional Overcurrent Relay Coordination in Variable Network Topologies by Ming-Ta Yang, An Liu

“…In power systems, determining the values of time dial setting (TDS) and the plug setting (PS) for directional overcurrent relays (DOCRs) is an extremely constrained optimization problem that has been previously described and solved as a nonlinear programming problem. Optimization coordination problems of near-end faults and far-end faults occurring simultaneously in circuits with various topologies, including fixed and variable network topologies, are considered in this study. …”
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Green Supply Chain Network Design with Economies of Scale and Environmental Concerns by Dezhi Zhang, Fangzi Zou, Shuangyan Li, Lingyun Zhou

“…A mixed-integer nonlinear programming model is developed to determine the optimal location and size of regional distribution centers (RDCs) and the investment of environmental facilities considering the effects of economies of scale and CO2 emission taxes. …”
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Performance Comparison of Mode Choice Optimization Algorithm with Simulated Discrete Choice Modeling by Hyuk-Jae Roh, Satish Sharma, Prasanta K. Sahu, Babak Mehran

“…The golden section method (GSM) incorporates a nonlinear programming technique to choose an optimal step size automatically. …”
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A Multifactory Integrated Production and Distribution Scheduling Problem with Parallel Machines and Immediate Shipments Solved by Improved Whale Optimization Algorithm by Vahid Abdollahzadeh, Isa Nakhaikamalabadi, Seyyed Mohammad Hajimolana, Seyyed Hesamoddin Zegordi

“…Then, a mixed-integer nonlinear programming model is developed to determine the detailed scheduling of production and distribution that minimizes the total costs of the supply chain including production, distribution, and late delivery costs. …”
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Handling Multiple-Fuel Options in Economic Dispatch of Thermal Power Plants Through a Tight Model Applying Indicator Variables by Hossein Sharifzadeh

“…The inclusion of these binary variables and nonlinear cost functions results in a complex NP-hard mixed-integer nonlinear programming (MINLP). This paper provides another perspective on the ED, where indicator variables represent the MF options and determine which cost functions should be set to zero. …”
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Optimizing the Service Provision time in the Emergency Department Using Mathematical Modeling and Simulation (Case Study: Imam Reza Hospital) by Mahdi Yousefi Nejad Atari, Ensiyeh Neyshabouri Jami, Akbar Sattari

“…Finally, analyzing both nonlinear programming and simulation model, the results show that the number of nurses in this department is not sufficient and that six nurses should be added to the staff.…”
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Customized Bus Route Optimization with the Real-Time Data by Kai Huang, Lin Xu, Yao Chen, Qixiu Cheng, Kun An

“…The second phase optimizes the bus route by establishing three nonlinear programming models under the given data from phase 1. …”
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Cooperative Behaviors and Multienergy Coupling Through Distributed Energy Storage in the Peer-to-Peer Market Mechanism by Zeynep Tanis, Ali Durusu

“…A storage virtualization model is developed to minimize storage costs, and a nonlinear programming multiobjective model optimizes battery energy storage. …”
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Optimization of Data Distributed Network System under Uncertainty by Laxminarayan Sahoo, Supriyan Sen, Kalishankar Tiwary, Sovan Samanta, Tapan Senapati

“…Constrained optimization is a computationally challenging job whenever the constraints/limitations are nonlinear and nonconvex. Furthermore, nonlinear programming methods can easily deal same optimization problem if somehow the constraints are nonlinear and convex. …”
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Valorization of Biomass Through Anaerobic Digestion and Hydrothermal Carbonization: Integrated Process Flowsheet and Supply Chain Network Optimization by Sanja Potrč, Aleksandra Petrovič, Jafaru M. Egieya, Lidija Čuček

“…A mixed-integer nonlinear programming model aimed at maximizing the economic performance of the system was formulated and applied to a case study of selected regions in Slovenia. …”
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