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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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.…”
Get full text

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. …”
Get full text

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. …”
Get full text

Optimal Connection of Offshore Wind Farm with Maximization of Wind Capacity to Power Systems considering Losses and Security Constraints by Leandro A. Vasconcelos, João A. Passos Filho, Leonardo W. de Oliveira, Othon F. Avila

“…The algorithm is modeled using a Mixed Integer Nonlinear Programming (MINLP), and it is evaluated in a tutorial system and three well-known other networks from literature: IEEE 14-Bus, IEEE RTS-79, and Southern Brazilian System.…”
Get full text

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. …”
Get full text

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. …”
Get full text

Multi-Item Multiperiodic Inventory Control Problem with Variable Demand and Discounts: A Particle Swarm Optimization Algorithm by Seyed Mohsen Mousavi, S. T. A. Niaki, Ardeshir Bahreininejad, Siti Nurmaya Musa

“…While the objectives are to minimize both the total inventory cost and the required storage space, the model is formulated into a fuzzy multicriteria decision making (FMCDM) framework and is shown to be a mixed integer nonlinear programming type. In order to solve the model, a multiobjective particle swarm optimization (MOPSO) approach is applied. …”
Get full text

LPI Optimization Framework for Target Tracking in Radar Network Architectures Using Information-Theoretic Criteria by Chenguang Shi, Fei Wang, Mathini Sellathurai, Jianjiang Zhou

“…The resulting nonconvex and nonlinear LPI optimization problems associated with different information-theoretic criteria are cast under a unified framework, and the nonlinear programming based genetic algorithm (NPGA) is used to tackle the optimization problems in the framework. …”
Get full text