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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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 |
work_keys_str_mv |
AT archanakhurana multiindexconstrainedtransportationproblemwithboundsonavailabilitiesrequirementsandcommodities AT veenaadlakha multiindexconstrainedtransportationproblemwithboundsonavailabilitiesrequirementsandcommodities AT benjaminlev multiindexconstrainedtransportationproblemwithboundsonavailabilitiesrequirementsandcommodities |
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