Building a mathematical model of the transportation problem under the dynamics of demand restrictions with practical application
DOI:
https://doi.org/10.33095/jeas.v22i91.489Keywords:
Transportation Problem; Linear Plus Linear Fractional; Restricted Flow ,program(LINGO14.0).Abstract
Abstract\
In this research we built a mathematical model of the transportation problem for data of General Company for Grain Under the environment of variable demand ,and situations of incapableness to determining the supply required quantities as a result of economic and commercial reasons, also restrict flow of grain amounts was specified to a known level by the decision makers to ensure that the stock of reserves for emergency situations that face the company from decrease, or non-arrival of the amount of grain to silos , also it took the capabilities of the tanker into consideration and the grain have been restricted to avoid shortages and lack of processing capability, Function has been adopted in the mathematical model goal is a total of two functions: the first linear to reduce the overall costs of the transportation problem And the second linear fractional represent the proportion of public expenditure for the silos to college profits .a balanced model and equivalent to model the original problem has been formulated . The results proved the efficiency of the model in the distribution of the amount of grain where the total cost was reduced to (24%) with ensuring the existence of reserve stocks and meet the demand of mills.where the reserve stocks sufficed nearly to a month and half , the mathematical model was solved byausing,advancednsoftware(LINGO14.0).
Downloads
Published
Issue
Section
License
Articles submitted to the journal should not have been published before in their current or substantially similar form or be under consideration for publication with another journal. Please see JEAS originality guidelines for details. Use this in conjunction with the points below about references, before submission i.e. always attribute clearly using either indented text or quote marks as well as making use of the preferred Harvard style of formatting. Authors submitting articles for publication warrant that the work is not an infringement of any existing copyright and will indemnify the publisher against any breach of such warranty. For ease of dissemination and to ensure proper policing of use, papers and contributions become the legal copyright of the publisher unless otherwise agreed.
The editor may make use of Turnitin software for checking the originality of submissions received.
How to Cite
How to use the OJS system 
