Profit intensity criterion for transportation problems
In this study criterion of maximum profit intensity for transportation problems, in contrast to the known criteria of minimum expenses or minimum time for transportation, is considered. This criterion synthesizes financial and time factors and has real economic sense. According to the purpose of thi...
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| Format: | Article |
| Language: | English |
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GJESM Publisher
2019-08-01
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| Series: | Global Journal of Environmental Science and Management |
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| Online Access: | https://www.gjesm.net/article_35469_e6fd8657c11f7851a57621e4c9427262.pdf |
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| author | M. Voynarenko A. Kholodenko |
| author_facet | M. Voynarenko A. Kholodenko |
| author_sort | M. Voynarenko |
| collection | DOAJ |
| description | In this study criterion of maximum profit intensity for transportation problems, in contrast to the known criteria of minimum expenses or minimum time for transportation, is considered. This criterion synthesizes financial and time factors and has real economic sense. According to the purpose of this paper, the algorithm of the solution of such a transportation problem is constructed. It is shown that the choice is carried out among Pareto-optimal options. Moreover, the factor of time becomes defining for the high income from transportation, and the factor of expenses – at low ones. Not absolute but relative changes of numerator and denominator become important when the criterion represents the fraction (in this case – the profit intensity as the ratio of profit to time). A nonlinear generalization of such transportation problem is proposed and the scheme of its solution in a nonlinear case is outlined. Graphic illustrations of Pareto-optimal and optimal solutions of transportation problem by profit intensity criterion are also given. |
| format | Article |
| id | doaj-art-cee1e6b9658f476cb1299de06e193ff3 |
| institution | Kabale University |
| issn | 2383-3572 2383-3866 |
| language | English |
| publishDate | 2019-08-01 |
| publisher | GJESM Publisher |
| record_format | Article |
| series | Global Journal of Environmental Science and Management |
| spelling | doaj-art-cee1e6b9658f476cb1299de06e193ff32025-02-02T19:26:32ZengGJESM PublisherGlobal Journal of Environmental Science and Management2383-35722383-38662019-08-015Special Issue13114010.22034/gjesm.2019.05.SI1535469Profit intensity criterion for transportation problemsM. Voynarenko0A. Kholodenko1Department of Accounting, Audit and Taxation, Khmelnytsky National University, Khmelnytsky, UkraineDepartment of Business and Tourism, Odesa National Maritime University, Odesa, UkraineIn this study criterion of maximum profit intensity for transportation problems, in contrast to the known criteria of minimum expenses or minimum time for transportation, is considered. This criterion synthesizes financial and time factors and has real economic sense. According to the purpose of this paper, the algorithm of the solution of such a transportation problem is constructed. It is shown that the choice is carried out among Pareto-optimal options. Moreover, the factor of time becomes defining for the high income from transportation, and the factor of expenses – at low ones. Not absolute but relative changes of numerator and denominator become important when the criterion represents the fraction (in this case – the profit intensity as the ratio of profit to time). A nonlinear generalization of such transportation problem is proposed and the scheme of its solution in a nonlinear case is outlined. Graphic illustrations of Pareto-optimal and optimal solutions of transportation problem by profit intensity criterion are also given.https://www.gjesm.net/article_35469_e6fd8657c11f7851a57621e4c9427262.pdfFinancial and time factorsNonlinear generalizationProfit intensity criterionSolution algorithmTransportation problem |
| spellingShingle | M. Voynarenko A. Kholodenko Profit intensity criterion for transportation problems Global Journal of Environmental Science and Management Financial and time factors Nonlinear generalization Profit intensity criterion Solution algorithm Transportation problem |
| title | Profit intensity criterion for transportation problems |
| title_full | Profit intensity criterion for transportation problems |
| title_fullStr | Profit intensity criterion for transportation problems |
| title_full_unstemmed | Profit intensity criterion for transportation problems |
| title_short | Profit intensity criterion for transportation problems |
| title_sort | profit intensity criterion for transportation problems |
| topic | Financial and time factors Nonlinear generalization Profit intensity criterion Solution algorithm Transportation problem |
| url | https://www.gjesm.net/article_35469_e6fd8657c11f7851a57621e4c9427262.pdf |
| work_keys_str_mv | AT mvoynarenko profitintensitycriterionfortransportationproblems AT akholodenko profitintensitycriterionfortransportationproblems |