Variable Disaggregation in Network Flow Problems with Piecewise Linear Costs

Article Properties
  • Language
    English
  • Publication Date
    2007/02/01
  • Indian UGC (journal)
  • Refrences
    32
  • Citations
    45
  • Keely L. Croxton Fisher College of Business, The Ohio State University, 518 Fisher Hall, 2100 Neil Avenue, Columbus, Ohio 43210-1144
  • Bernard Gendron Département d’informatique et de recherche opérationnelle and Centre de recherche sur les transports, Université de Montréal, C.P. 6128, succ. Centre-ville, Montreal, Quebec, Canada H3C 3J7
  • Thomas L. Magnanti School of Engineering and Sloan School of Management, Massachusetts Institute of Technology, Room 1-206, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139-4307
Abstract
Cite
Croxton, Keely L., et al. “Variable Disaggregation in Network Flow Problems With Piecewise Linear Costs”. Operations Research, vol. 55, no. 1, 2007, pp. 146-57, https://doi.org/10.1287/opre.1060.0314.
Croxton, K. L., Gendron, B., & Magnanti, T. L. (2007). Variable Disaggregation in Network Flow Problems with Piecewise Linear Costs. Operations Research, 55(1), 146-157. https://doi.org/10.1287/opre.1060.0314
Croxton, Keely L., Bernard Gendron, and Thomas L. Magnanti. “Variable Disaggregation in Network Flow Problems With Piecewise Linear Costs”. Operations Research 55, no. 1 (2007): 146-57. https://doi.org/10.1287/opre.1060.0314.
1.
Croxton KL, Gendron B, Magnanti TL. Variable Disaggregation in Network Flow Problems with Piecewise Linear Costs. Operations Research. 2007;55(1):146-57.
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Refrences
Title Journal Journal Categories Citations Publication Date
Title 1997
Annotated Bibliographies in Combinatorial Optimization 1997
Annotated Bibliographies in Combinatorial Optimization Operations Research
  • Technology: Manufactures: Production management. Operations management
  • Social Sciences: Commerce: Business: Personnel management. Employment management
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
2004
10.1007/BF01581104
Capacitated Network Design—Polyhedral Structure and Computation

INFORMS Journal on Computing
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Manufactures: Production management. Operations management
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
90 1996
Citations
Title Journal Journal Categories Citations Publication Date
Optimizing bilinear multi-source water supply systems using mixed-integer linear programming approximations: An analysis of the Israeli seawater desalination array Advances in Water Resources
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Hydraulic engineering: River, lake, and water-supply engineering (General)
2023
Nonconvex Piecewise Linear Functions: Advanced Formulations and Simple Modeling Tools

Operations Research
  • Technology: Manufactures: Production management. Operations management
  • Social Sciences: Commerce: Business: Personnel management. Employment management
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
6 2023
Single Allocation Hub Location with Heterogeneous Economies of Scale

Operations Research
  • Technology: Manufactures: Production management. Operations management
  • Social Sciences: Commerce: Business: Personnel management. Employment management
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
3 2022
An effective logarithmic formulation for piecewise linearization requiring no inequality constraint Computational Optimization and Applications
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
1 2021
New partial aggregations for multicommodity network flow problems: An application to the fixed-charge network design problem Computers & Operations Research
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Technology (General): Industrial engineering. Management engineering: Information technology
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
3 2021
Citations Analysis
Category Category Repetition
Technology: Manufactures: Production management. Operations management29
Technology: Engineering (General). Civil engineering (General)26
Science: Mathematics17
Technology: Technology (General): Industrial engineering. Management engineering11
Science: Mathematics: Instruments and machines: Electronic computers. Computer science9
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods6
Social Sciences: Commerce: Business: Personnel management. Employment management6
Technology: Technology (General): Industrial engineering. Management engineering: Information technology5
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware4
Technology: Engineering (General). Civil engineering (General): Transportation engineering3
Social Sciences: Economic theory. Demography: Economics as a science3
Social Sciences: Transportation and communications2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks2
Social Sciences: Industries. Land use. Labor: Management. Industrial management2
Social Sciences: Commerce: Business2
Technology: Manufactures2
Political science: Political institutions and public administration (General)1
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
Technology: Chemical technology: Chemical engineering1
Science: Chemistry1
Social Sciences: Industries. Land use. Labor1
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software1
Technology: Hydraulic engineering: River, lake, and water-supply engineering (General)1
The category Technology: Manufactures: Production management. Operations management 29 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Lagrangean‐based decomposition algorithms for multicommodity network design problems with penalized constraints and was published in 2009. The most recent citation comes from a 2023 study titled Optimizing bilinear multi-source water supply systems using mixed-integer linear programming approximations: An analysis of the Israeli seawater desalination array. This article reached its peak citation in 2017, with 8 citations. It has been cited in 29 different journals, 3% of which are open access. Among related journals, the European Journal of Operational Research cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year