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Generic uniqueness of optimal transportation networks
We prove that for the generic boundary, in the sense of Baire categories, there exists a unique minimizer of the associated optimal branched...
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The Singularity Set of Optimal Transportation Maps
AbstractOptimal transportation plays an important role in many engineering fields, especially in deep learning. By the Brenier theorem, computing...
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Optimal Solution for Transportation Problems Using Trapezoidal Fuzzy Numbers
Transportation problems (TPs) play important roles in today’s highly competitive world. To maximize profits, organizations are always aiming for more...
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Optimal externalities in a parallel transportation network
We consider the Wardrop model with splittable traffic and externalities applied to the parallel transportation network. These externalities are...
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Optimal transportation plans with escort entropy regularization
The entropy-regularized Wasserstein transportation problem is useful for solving lots of problems in various applications. We study the deformed...
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Optimal measure transportation with respect to non-traditional costs
We study optimal mass transport problems between two measures with respect to a non-traditional cost function, i.e. a cost c which can attain the...
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On intermediate marginals in martingale optimal transportation
We study the influence of additional intermediate marginal distributions on the value of the martingale optimal transport problem. From a financial...
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Tropical medians by transportation
Fermat–Weber points with respect to an asymmetric tropical distance function are studied. It turns out that they correspond to the optimal solutions...
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On solving fully rough multi-objective fractional transportation problem: development and prospects
In these days, rough set theory has emerged as an invaluable tool for expressing uncertainty in various optimization problems as it takes into...
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SOLVING THE MULTI-OBJECTIVE FRACTIONAL SOLID TRANSPORTATION PROBLEM BY USING DIFFERENT OPERATORS
This research delves into a complex problem known as the multi-objective fractional solid transportation problem (MFSTP), which deals with various...
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Optimizing Multimodal Transportation Systems Using the Teaching–Learning-Based Algorithm
Multimodal transportation systems (MTS) represent a cornerstone of modern logistics and transportation planning. At its core, MTS involves...
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Fully interval-valued fuzzy transportation problems: development and prospects
The transportation problem (TP) is one of the most used and tangible applications of linear programming problems that apply to a variety of practical...
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Uncertain 4D-transportation problem with maximum profit and minimum carbon emission
The impact of transportation on greenhouse gas emissions is significant. Effective transportation planning can help in achieving maximum profit and...
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The Nonlinear Kantorovich Transportation Problem with Nonconvex Costs
AbstractThe paper is devoted to the study of the Kantorovich optimal transportation problem with nonlinear cost functional generated by a cost...
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Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems
Optimal mass transportation has been widely applied in various fields, such as data compression, generative adversarial networks, and image...
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On the Algorithm of Cargoes Transportation Scheduling in the Transport Network
AbstractThe problem of cargoes transportation scheduling in the transport network represented by an undirected multigraph is considered....
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An approach for solving fully generalized intuitionistic fuzzy transportation problems
In this paper, we study the transportation problem defined as generalized triangular intuitionistic fuzzy transportation problem (GTIFTP). To handle...
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Optimal Transportation Networks and Network Design
Modern location science [1] concerns problems of facility locations and is highly interconnected with other fields such as mathematics, geography or...
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Modifications of the Two-Stage Transportation Problem and Their Applications*
Mathematical models of linear and Boolean linear programming for the balanced two-stage transportation problem and its two modifications are...