On a class of capacitated transshipment problems with bounds on rim conditions
type: Item
instance of: scholarly article
title: On a class of capacitated transshipment problems with bounds on rim conditions
zbMATH Open document ID: 1390.90072
DOI: 10.1504/IJMOR.2015.069142
author: Archana Khurana
author: Tripti Verma
published in: International Journal of Mathematics in Operational Research
publication date: 2018-06-06T00:00:00Z
review text: Summary: The transshipment technique is used to find the shortest route from one point in a network to another point and is useful to truncate the cost of transportation. Inspired by dead mileage problem evaluated in terms of running empty buses from various depots to starting points, in this paper we study capacitated transshipment problems with bounds on total availabilities at sources and total destination requirements. Sometimes because of the budget/political constraints, the total flow of transportation is stipulated by some external decision maker which thereby results in impaired or enhanced flow in the market. This motivated us to explore such problems as a particular case of the original problem. The optimal solution of the specified problem is obtained by transforming it into an equivalent capacitated transportation problem. We have also discussed various situations emerging out of unbalanced capacitated transshipment problems in the form of inequalities and numerical examples are also given to illustrate the theory.
Mathematics Subject Classification ID: 90B06
zbMATH DE Number: 6881385
zbMATH Keywords: transportation problem
zbMATH Keywords: dead-mileage
zbMATH Keywords: capacitated transshipment problem
zbMATH Keywords: impaired flow
zbMATH Keywords: enhanced flow
MaRDI profile type: Publication
full work available at URL: ijmor.2015.069142
OpenAlex ID: W1992936065
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description: scientific article; zbMATH DE number 6881385