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

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 des...

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Main Authors: Archana Khurana, Veena Adlakha, Benjamin Lev
Format: Article
Language:English
Published: Elsevier 2018-01-01
Series:Operations Research Perspectives
Online Access:http://www.sciencedirect.com/science/article/pii/S2214716018300666
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spelling doaj-184728113798439b9fd6261dc30c37bf2020-11-25T01:53:23ZengElsevierOperations Research Perspectives2214-71602018-01-015319333Multi-index constrained transportation problem with bounds on availabilities, requirements and commoditiesArchana Khurana0Veena Adlakha1Benjamin Lev2Williams E. Kirwan Hall, Department of Mathematics, University of Maryland, College Park, MD 20742, United StatesDepartment of Management and International Business, Merrick School of Business, University of Baltimore, MD 21201, United StatesLeBow College of Business, Drexel University, Philadelphia, PA, United States; Corresponding author.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. Keywords: Classical transportation problem, Multi index, Impaired flow, Unbalanced, Optimal solutionhttp://www.sciencedirect.com/science/article/pii/S2214716018300666
collection DOAJ
language English
format Article
sources DOAJ
author Archana Khurana
Veena Adlakha
Benjamin Lev
spellingShingle Archana Khurana
Veena Adlakha
Benjamin Lev
Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities
Operations Research Perspectives
author_facet Archana Khurana
Veena Adlakha
Benjamin Lev
author_sort Archana Khurana
title Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities
title_short Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities
title_full Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities
title_fullStr Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities
title_full_unstemmed Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities
title_sort multi-index constrained transportation problem with bounds on availabilities, requirements and commodities
publisher Elsevier
series Operations Research Perspectives
issn 2214-7160
publishDate 2018-01-01
description 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. Keywords: Classical transportation problem, Multi index, Impaired flow, Unbalanced, Optimal solution
url http://www.sciencedirect.com/science/article/pii/S2214716018300666
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AT veenaadlakha multiindexconstrainedtransportationproblemwithboundsonavailabilitiesrequirementsandcommodities
AT benjaminlev multiindexconstrainedtransportationproblemwithboundsonavailabilitiesrequirementsandcommodities
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