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Original scientific paper
https://doi.org/10.17535/crorr.2015.0018

The Nonlinear Generalized Transportation Problem with convex costs

Marcin Anholcer ; Faculty of Informatics and Electronic Economy, Poznań University of Economics, Poznan, Poland

Fulltext: english, pdf (127 KB) pages 225-239 downloads: 1.118* cite
APA 6th Edition
Anholcer, M. (2015). The Nonlinear Generalized Transportation Problem with convex costs. Croatian Operational Research Review, 6 (1), 225-239. https://doi.org/10.17535/crorr.2015.0018
MLA 8th Edition
Anholcer, Marcin. "The Nonlinear Generalized Transportation Problem with convex costs." Croatian Operational Research Review, vol. 6, no. 1, 2015, pp. 225-239. https://doi.org/10.17535/crorr.2015.0018. Accessed 18 Jul. 2019.
Chicago 17th Edition
Anholcer, Marcin. "The Nonlinear Generalized Transportation Problem with convex costs." Croatian Operational Research Review 6, no. 1 (2015): 225-239. https://doi.org/10.17535/crorr.2015.0018
Harvard
Anholcer, M. (2015). 'The Nonlinear Generalized Transportation Problem with convex costs', Croatian Operational Research Review, 6(1), pp. 225-239. https://doi.org/10.17535/crorr.2015.0018
Vancouver
Anholcer M. The Nonlinear Generalized Transportation Problem with convex costs. Croatian Operational Research Review [Internet]. 2015 [cited 2019 July 18];6(1):225-239. https://doi.org/10.17535/crorr.2015.0018
IEEE
M. Anholcer, "The Nonlinear Generalized Transportation Problem with convex costs", Croatian Operational Research Review, vol.6, no. 1, pp. 225-239, 2015. [Online]. https://doi.org/10.17535/crorr.2015.0018

Abstracts
We investigate the Nonlinear Generalized Transportation Problem (NGTP), where the transportation costs and the costs that depend on the amount of good delivered to the destination points are strictly convex functions. The amounts of goods change during the transportation process. This model may correspond, for example, with a congested network where the time costs are involved. First, we present the NGTIP model, then provide a method of solving the problems of this type and then we prove convergence of the method. The numerical experiments prove the effectiveness of the presented algorithm.

Keywords
Nonlinear Transportation Problem; Nonlinear Generalized Transportation Problem; Stochastic Transportation Problem; Stochastic Generalized Transportation Problem; Equalization Method

Hrčak ID: 138610

URI
https://hrcak.srce.hr/138610

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