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Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities
Journal article   Open access   Peer reviewed

Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities

Archana Khurana, Veena Adlakha and Benjamin Lev
Operations Research Perspectives, v 5, pp 319-333
2018
url
https://doi.org/10.1016/j.orp.2018.10.001View
Published, Version of Record (VoR)CC BY V4.0 Open

Abstract

Classical transportation problem Impaired flow Multi index Optimal solution Unbalanced
•Transportation problem.•Multiple commodities.•Mutli-index constrained transportation.•Impaired/enhanced flow. In this paper, we consider a multi-index constrained transportation problem (CTP) of axial constraints with bounds on destination requirements, source availabilities, and multiple types of commodities. The specified problem is converted into a related transportation problem by adding a source, a destination, and a commodity, making it equivalent to a standard axial sum problem. This related problem is transformed into a multi-index transportation problem that can be solved easily. The provided solution method is very useful for transporting heterogeneous commodities. A transportation model may sometimes have various capacity constraints on the flow between pairs of origins and destinations. Moreover, budgetary, political, and emergency situations may impair or enhance the flow between origins and destinations, making it critical for a manager to reevaluate allocations. These considerations have motivated us to explore the multi-index CTP with impaired and enhanced flow. We present several numerical examples to demonstrate the proposed algorithms.

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Collaboration types
Domestic collaboration
Web of Science research areas
Operations Research & Management Science
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