PC-SOLUTION AND QUASI-SOLUTION OF THE INTERVAL INPUT-OUTPUT BALANCE MODEL

被引：0

作者：

Noskov, S. I. ^{[1
]}

Vergasov, A. S. ^{[1
]}

机构：

[1] Irkutsk State Transport Univ, 15 Chernyschevskogo St, Irkutsk 664074, Russia

来源：

ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS | 2023年 / 38卷 / 01期

关键词：

input-output model; interval input-output model; interval system of linear algebraic equations; Boolean variables; linear Boolean programming problem;

D O I：

10.17654/0974165823021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the interval input-output balance model. The set of its solutions represents the coherence domain of a system of linear equations and inequalities, and the unknowns are of both real and Boolean nature. Two possible cases are investigated. In case this domain is nonempty, it is proposed to search for its so-called PC -solution based on the method known in the theory of multicriteria choice which implies the maximization of the solvability of the constraint system defining the model. In the case of emptiness of this domain, we should search for a quasi-solution of the original problem. In both the cases, it is necessary to solve one's own specially formed linear-Boolean programming problem.

引用

页码：95 / 100

页数：6

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