Letter to the Editor—On the Necessary Conditions for the Existence of the Solution of the Multi-Index Transportation Problem

Abstract

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Selection of Communication Routes in Agriculture Equipment Company

“…Although the conditions of existence of solutions for the planar formulation of the problem are natural, in the case of axial formulation the situation is more complex. The conditions for the existence of solutions of this formulation were described, for example, by Morávek and Vlach (1967) or Vlach (1986).…”

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“…3 if the base number is 5. Due to the complexity of finding even a feasible solution to this optimization problem, (see, e.g., [50,51]), the statistical agencies apply a simple technique called Random Rounding (see, e.g., [52]). In this technique each cell value is rounded up or down in accordance with a probabilistic distribution.…”

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“…However, there are two sets of conditions which are of interest because they are natural extensions of the simple conditions and the Gotlieb conditions. THEOREM Moravek and Vlach [9] and restated by Haley [4] for the multi-index problem.…”