PUBLISHED PAPERS #05.06
| Viktor Stovba, Petro Stetsyuk. Solvability Conditions of Two-Stage Transportation Problem with Two-Sided Constraints on Consumer Demands and Intermediate Points Capacities |
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| Abstract. A mathematical model of a two-stage transportation problem with two-sided constraints on unknown consumer demands and intermediate points capacities is studied. Solvability conditions of the linear programming problem, which corresponds to this model, are formulated, and justified. The classical two-stage transportation problem is given, to which the above problem is transformed if consumer demands are known, and there are no lower and upper bounds on intermediate points capacities. |
| Keywords: two-stage transportation problem, linear programming problem, two-sided constraints, solvability conditions |
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| DOI: https://doi.org/10.30546/MaCoSEP2025.1140 |