{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","description":"This cluster of papers focuses on the optimization of multi-objective transportation problems, particularly in the context of supply chain management and aggregate production planning. It explores the application of fuzzy goal programming, genetic algorithms, and metaheuristic approaches to address challenges such as fixed charge transportation, sustainable development, and uncertainty in decision-making. The research also delves into techniques like linear fractional programming and intuitionistic fuzzy logic to enhance the efficiency and robustness of transportation problem solutions.","keywords":[{"id":"https://openalex.org/keywords/transportation-problem","display_name":"transportation problem","score":0.5174},{"id":"https://openalex.org/keywords/goal-programming","display_name":"goal programming","score":0.3978},{"id":"https://openalex.org/keywords/simplex-method","display_name":"simplex method","score":0.2866},{"id":"https://openalex.org/keywords/assignment-problem","display_name":"assignment problem","score":0.2441},{"id":"https://openalex.org/keywords/fuzzy-optimization","display_name":"fuzzy optimization","score":0.3275},{"id":"https://openalex.org/keywords/fuzzy-linear-programming","display_name":"fuzzy linear programming","score":0.6582},{"id":"https://openalex.org/keywords/optimal-solution","display_name":"optimal solution","score":0.2876},{"id":"https://openalex.org/keywords/multi-objective-linear-programming","display_name":"multi-objective linear programming","score":0.5095},{"id":"https://openalex.org/keywords/aggregate-production-planning","display_name":"aggregate planning","score":0.3719},{"id":"https://openalex.org/keywords/fuzzy-goal-programming","display_name":"fuzzy goal programming","score":0.6338},{"id":"https://openalex.org/keywords/fuzzy-programming","display_name":"fuzzy programming","score":0.414},{"id":"https://openalex.org/keywords/initial-basic-feasible-solution","display_name":"initial basic feasible solution","score":0.8564},{"id":"https://openalex.org/keywords/vogel-s-approximation-method","display_name":"Vogel's approximation method","score":0.8322},{"id":"https://openalex.org/keywords/fuzzy-transportation-problem","display_name":"fuzzy transportation problem","score":0.9577},{"id":"https://openalex.org/keywords/fuzzy-constraints","display_name":"fuzzy constraints","score":0.3692},{"id":"https://openalex.org/keywords/fuzzy-parameters","display_name":"fuzzy parameters","score":0.2977},{"id":"https://openalex.org/keywords/excel-solver","display_name":"Excel Solver","score":0.2552},{"id":"https://openalex.org/keywords/linear-fractional-programming","display_name":"linear fractional programming","score":0.5226},{"id":"https://openalex.org/keywords/north-west-corner-method","display_name":"northwest corner method","score":0.8211},{"id":"https://openalex.org/keywords/fuzzy-goals","display_name":"fuzzy goals","score":0.6397},{"id":"https://openalex.org/keywords/least-cost-method","display_name":"least cost method","score":0.8021},{"id":"https://openalex.org/keywords/ranking-functions","display_name":"ranking functions","score":0.2067},{"id":"https://openalex.org/keywords/interactive-decision-making","display_name":"interactive decision making","score":0.206},{"id":"https://openalex.org/keywords/stepping-stone-method","display_name":"stepping stone method","score":0.8283},{"id":"https://openalex.org/keywords/unbalanced-transportation-problem","display_name":"unbalanced transportation problem","score":0.9014}],"legacy_keywords":"Fuzzy Goal Programming; Aggregate Production Planning; Multi-Objective Optimization; Fixed Charge Transportation Problem; Genetic Algorithm; Linear Fractional Programming; Intuitionistic Fuzzy; Supply Chain Management; Sustainable Development; Metaheuristic Algorithms","ids":{"openalex":"https://openalex.org/T12709","wikipedia":"https://en.wikipedia.org/wiki/Multi-objective_optimization"},"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems"},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems"},{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques"},{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization"},{"id":"https://openalex.org/T10524","display_name":"Traffic control and management"},{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics"},{"id":"https://openalex.org/T10653","display_name":"Robot Manipulation and Learning"},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization"},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems"},{"id":"https://openalex.org/T10917","display_name":"Smart Grid Security and Resilience"},{"id":"https://openalex.org/T10972","display_name":"Power Systems Fault Detection"},{"id":"https://openalex.org/T11053","display_name":"Process Optimization and Integration"},{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design"},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations"},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification"},{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems"},{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control"},{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics"},{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots"},{"id":"https://openalex.org/T11749","display_name":"Iterative Learning Control Systems"},{"id":"https://openalex.org/T11920","display_name":"Pulsed Power Technology Applications"},{"id":"https://openalex.org/T12000","display_name":"Systems Engineering Methodologies and Applications"},{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis"},{"id":"https://openalex.org/T12290","display_name":"Human Motion and Animation"},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems"},{"id":"https://openalex.org/T12804","display_name":"Thermal Analysis in Power Transmission"},{"id":"https://openalex.org/T12810","display_name":"Real-time simulation and control systems"},{"id":"https://openalex.org/T12888","display_name":"Military Strategy and Technology"},{"id":"https://openalex.org/T12941","display_name":"Embedded Systems and FPGA Design"},{"id":"https://openalex.org/T13065","display_name":"Mining Techniques and Economics"},{"id":"https://openalex.org/T13293","display_name":"Engineering and Test Systems"},{"id":"https://openalex.org/T13344","display_name":"Industrial Automation and Control Systems"},{"id":"https://openalex.org/T13382","display_name":"Robotics and Automated Systems"},{"id":"https://openalex.org/T13535","display_name":"Wireless Sensor Networks and IoT"},{"id":"https://openalex.org/T13717","display_name":"Advanced Algorithms and Applications"},{"id":"https://openalex.org/T13954","display_name":"Aerospace Engineering and Applications"},{"id":"https://openalex.org/T14011","display_name":"Elevator Systems and Control"},{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems"},{"id":"https://openalex.org/T14225","display_name":"Advanced Sensor and Control Systems"},{"id":"https://openalex.org/T14270","display_name":"Simulation and Modeling Applications"},{"id":"https://openalex.org/T14420","display_name":"Advanced Research in Systems and Signal Processing"},{"id":"https://openalex.org/T14470","display_name":"Advanced Data Processing Techniques"},{"id":"https://openalex.org/T14474","display_name":"Industrial Technology and Control Systems"}],"works_count":48454,"cited_by_count":386738,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T12709","updated_date":"2026-10-21T03:01:35","created_date":"2024-01-23T15:27:15"}