The Cost-Balanced Path Problem: A Mathematical Formulation and Complexity Analysis

نویسندگان

چکیده

This paper introduces a new variant of the Shortest Path Problem (SPP) called Cost-Balanced (CBPP). Various real problems can either be modeled as BCPP or include sub-problem. We prove several properties related to complexity CBPP problem. In particular, we demonstrate that problem is NP-hard in its general version, but it becomes solvable polynomial time specific family instances. Moreover, mathematical formulation CBPP, mixed-integer programming model, proposed, and some additional constraints for modeling requirements are given. validates proposed model extensions with experimental tests based on random The analysis results computational experiments shows extension used many applications. Obviously, due complexity, main limitation approach size A heuristic solution should required larger-sized more complex

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ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10050804