2018Informatics in Medicine UnlockedOpen access

An innovative exact method for solving fully interval integer transportation problems

A. Akilbasha, P. Pandian, G. Natarajan

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Abstract

A new method namely, the mid-width method, is proposed herein for finding the optimal interval solution to an interval biomedical transportation problem in which shipping cost, supply and demand parameters are real intervals. The mid-width method is an exact method and is developed on two independent transportation problems which are obtained from a fully integer transportation problem. A numerical example in the field of pharmaceutical logistics is presented for understanding the solution procedure of the suggested method. Furthermore, the proposed method is extended to fuzzy transportation problems.

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What this paper is about

A new method namely, the mid-width method, is proposed herein for finding the optimal interval solution to an interval biomedical transportation problem in which shipping cost, supply and demand parameters are real intervals. The mid-width method is an exact method and is developed on two independent transportation problems which are obtained from a fully integer transportation problem. A numerical example in the field of pharmaceutical logistics is presented for understanding the solution procedure of the suggested method. Furthermore, the proposed method is extended to fuzzy transportation problems.

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Available abstract

A new method namely, the mid-width method, is proposed herein for finding the optimal interval solution to an interval biomedical transportation problem in which shipping cost, supply and demand parameters are real intervals. The mid-width method is an exact method and is developed on two independent transportation problems which are obtained from a fully integer transportation problem. A numerical example in the field of pharmaceutical logistics is presented for understanding the solution procedure of the suggested method. Furthermore, the proposed method is extended to fuzzy transportation problems.

Key concepts: Interval (graph theory), Transportation theory, Integer (computer science), Mathematical optimization, Integer programming, Field (mathematics), Fuzzy transportation, Fuzzy logic

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