Volume 6 , Issue 2 , PP: 55-58, 2023 | Cite this article as | XML | Html | PDF
Maissam Jdid 1
Doi: https://doi.org/10.54216/JNFS.060206
Linear programming problems with integers, are issues in which some or all decision variables are restricted to be their values are correct values, and here these models can be solved by neglecting the constraints of integers and then rotating the fractional values of the optimal solution to obtain correct values, paying attention to the need for the resulting solution to belong to the accepted solutions area, but this procedure can lead to the desired purpose if the number of variables is small, but if there is a number We do not guarantee to obtain an optimal correct solution for the model, even if all the solution combinations are tested, knowing that in the model that contains a variable n a set of solutions 2n must be tried, and if we can rotate, the correct solution will be an approximate solution, in order to obtain more accurate integer values, we present in this research a study in which we use binary integer variables to build the neutrosophic linear mathematical model. The importance of this study lies in providing solutions to many practical problems that require solutions with integers and we will clarify all the above by building a mathematical model for the problem of the mixture of products using binary integer variables and neutrosophic values.
Process research , Linear models , Integer models , Neutrosophic science , Neutrosophic linear mathematical model , Product mixture problem
[1] Bukajah J.S., Mualla, W... and others - Operations Research Book translated into Arabic - The Arab Center for Arabization, Translation, Authoring and Publishing -Damascus -1998. . (Arabic version).
[2] Maissam Jdid, Operations Research, Faculty of Informatics Engineering, Al-Sham Private University Publications, 2021, (Arabic version).
[3] Maissam Jdid, Huda E Khalid , Mysterious Neutrosophic Linear Models, International Journal of Neutrosophic Science, Vol. 18,No. 2, 2022
[4] Florentin Smarandache, Maissam Jdid, On Overview of Neutrosophic and Plithogenic Theories and Applications, Prospects for Applied Mathematics and Data Analysis (PAMDA), Vol .2, No.1, 2023.
[5] Maissam Jdid, A. A. Salam,Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution. Journal of Neutrosophic and Fuzzy Systems (JNFS), Vo .6, No. 2, 2023
[6] Mohammed Alshikho, Maissam Jdid, Said Broumi , Artificial Intelligence and Neutrosophic Machine learning in the Diagnosis and Detection of COVID 19, Journal Prospects for Applied Mathematics and Data Analysis ,Vol 01, No,02 USA,2023
[7] Mohammed Alshikho, Maissam Jdid, Said Broumi,A Study of a Support Vector Machine Algorithm with an Orthogonal Legendre Kernel According to Neutrosophic logic and Inverse Lagrangian Interpolation, Journal of Neutrosophic and Fuzzy Systems(JNFS),Vo .5,No .1, 2023
[8] Maissam Jdid, Khalifa Alshaqsi, Optimal Value of the Service Rate in the Unlimited Model M\M\1, Journal of Neutrosophic and Fuzzy Systems(JNFS),Vo .6,No .1, 2023
[9] Maissam jdid- Hla Hasan ,The state of Risk and Optimum Decision According to Neutrosophic Rules, International Journal of Neutrosophic Science (IJNS),Vol. 20, No.1,2023
[10] Maissam jdid ,Important Neutrosophic Economic Indicators of the Static Model of Inventory Management without Deficit, Journal of Neutrosophic and Fuzzy Systems(JNFS),Vo .5,No .1, 2023
[11] Maissam Jdid , Huda E. Khalid , Neutrosophic Mathematical formulas of Transportation Problems Neutrosophic sets and Systems, NSS, Vol .51, 2022
[12] Maissam Jdid, AA Salama, Huda E Khalid ,Neutrosophic Handling of the Simplex Direct Algorithm to Define the Optimal Solution in Linear Programming ,International Journal of Neutrosophic Science, Vol. 18,No. 1, 2022
