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International Journal of Neutrosophic Science
Volume 18 , Issue 2, PP: 262-271 , 2022 | Cite this article as | XML | Html |PDF

Title

The Neutrosophic Treatment of the Static Model for the Inventory Management with Safety Reserve

  Maissam Jdid 1 * ,   Rafif Alhabib 2 ,   Huda E. Khalid 3 ,   A. A. Salama 4

1  Faculty of Informatics Engineering, Al-Sham Private University, Damascus, Syria
    (m.j.foit@aspu.edu.sy)

2  Department of Mathematical Statistics, Faculty of Science, AL Baath University, Homs, Syria
    (rafif.alhabib85@gmail.com)

3  Administrative Assistant for the President of Telafer University, Telafer, Iraq.
    (dr.huda-ismael@uotelafer.edu.iq)

4  Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt
    (drsalama44@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.180209

Received: November 6, 2021 Accepted: March 24, 2022

Abstract :

Institutions must store materials to ensure the continuity of their activity and to avoid incurring big losses as a result of the storage process, various models have been studied that cover all scenarios in which stock insurance is required to allow institutions to continue operating while avoiding losses. The static model with safety reserve is one of these models, and it is used in emergency and ambulance circumstances to transport medicines, food, and fuel, etc.

Those in charge of any project must estimate the quantities that will need to be stored in order to ensure that the necessary materials are available and that storage costs are minimized. As a result, a mathematical model has been developed that expresses the circumstance in which a safety reserve is necessary to meet market material demand, and the optimal answer for this model is the required solution. This model is treated in classical logic by adding the amount of the safety reserve to the ideal quantity determined through the static model without a deficit, and this quantity is a fixed amount during each storage cycle over time, which does not correspond to reality and ignores cases of fluctuations demand in the rate of demand for inventory .In this study, three scenarios were used to construct a study for the static stock model with safety reserves and for one substance utilizing neutrosophic theory through three different cases.

The First Case: Using the optimal amount of stock that determined by studying the static model with a deficit using neutrosophic logic  , while assuming the safety reserve   as a vague value, either  or .

The Second Case: Taking the ideal value of stock that was previously  determined by studying the static model with deficient using neutrosophic logic , wherein regard the safety reserve  as constant value.

The third Case: Taking the optimal value of stock that determined by studying the static model with deficient using classical logic, and assuming the safety reserve   as a vague value, either  or .

 

                In other words, we approached the problem using neutrosophic tools, which accounts for all possible scenarios that may arise throughout the course of the job, yields more accurate results, and so ensures a safe working environment for the facilities at the lowest possible cost.

Keywords :

Inventory Management , Static Inventory Management Model , Neutrosophic Logic , Inventory Management with Safety Reserve using Neutrosophic Logic.

References :

[1]    Alali. Ibrahim Muhammad, Operations Research. Tishreen University Publications, 2004. (Arabic version).

[2]    Wael Khansa-  Ola Abu Amsha . Operations Research (1) ,Faculty of Informatics Engineering - Damascus University Publications , 2005

[3]    Al Hamid .Mohammed Dabbas ,  Mathematical programming , Aleppo University , Syria , 2010. (Arabic version).

[4]    Maissam Jdid, Operations Research , Faculty of Informatics Engineering , Al-Sham Private University Publications, 2021

[5]    L. A. ZADEH. Fuzzy Sets. Inform. Control 8 (1965).

[6]    F. Smarandache. Introduction to Neutrosophic statistics, Sitech & Education Publishing, 2014.

[7]    Atanassov .k, Intuitionistic fuzzy sets. In V. Sgurev, ed., ITKRS Session, Sofia, June 1983, Central Sci. and Techn. Library, Bulg.  Academy of Sciences, 1984.

[8]    Smarandache, F, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy , Neutrosophic Logic, Set, Probability, and Statistics University of New Mexico, Gallup, NM 87301, USA,2002.

[9]    Smarandache, F. A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability. American Research Press, Rehoboth, NM, 1999.

[10] Smarandache, F, Neutrosophic set a generalization of the intuitionistic fuzzy sets. Inter. J. Pure Appl. Math., 24, 287 – 297, 2005.

[11] Salama, A. A, Smarandache, F, and Kroumov, V, Neutrosophic crisp Sets & Neutrosophic crisp Topological Spaces. Sets and Systems, 2(1), 25-30, 2014.

[12] Smarandache, F. & Pramanik, S. (Eds). (2016). New trends in neutrosophic theory and applications. Brussels: Pons Editions.

[13] Alhabib.R, Ranna.M, Farah.H and Salama, A. A, Studying the Hypergeometric probability distribution according to neutrosophic logic. Albaath- University Journal, Vol (40), 2018.(Arabic version).

[14] A. A. Salama, F. Smarandache Neutrosophic Crisp Set Theory, Educational. Education Publishing 1313 Chesapeake, Avenue, Columbus, Ohio 43212, (2015).

[15] Aslam, M., Khan, N. and Khan, M.A. (2018). Monitoring the Variability in the Process Using the Neutrosophic Statistical Interval Method, Symmetry, 10 (11), 562.

[16] F. Smarandache, H. E. Khalid, A. K. Essa, “Neutrosophic Logic: The Revolutionary Logic in Science and Philosophy”, Proceedings of the National Symposium, EuropaNova, Brussels, 2018.

[17] H. E. Khalid, F. Smarandache, A. K. Essa, (2018). The Basic Notions for (over, off, under) Neutrosophic Geometric Programming Problems. Neutrosophic Sets and Systems, 22, 50-62.

[18] Aslam, M., Khan, N. and AL-Marshadi, A. H. (2019). Design of Variable Sampling Plan for Pareto Distribution Using Neutrosophic Statistical Interval Method, Symmetry, 11 (1), 80.

[19] Aslam, M. (2019). Control Chart for Variance using Repetitive Sampling under Neutrosophic Statistical Interval System,  IEEE Access, 7 (1), 25253-25262.

[20] H. E. Khalid, (2020). Geometric Programming Dealt with a Neutrosophic Relational Equations Under the  Operation. Neutrosophic Sets in Decision Analysis and Operations Research, chapter four. IGI Global Publishing House.

[21] H. E. Khalid, “Neutrosophic Geometric Programming (NGP) with (max-product) Operator, An Innovative Model”, Neutrosophic Sets and Systems, vol. 32, 2020.

[22] Victor Christianto , Robert N. Boyd , Florentin Smarandache, Three possible applications of Neutrosophic Logic in Fundamental and Applied Sciences, International Journal of Neutrosophic Science,  Volume 1 , Issue 2, PP: 90-95 , 2020.

[23] Maissam Jdid, Rafif Alhabib, A. A. Salama, The static model of inventory management without a deficit with Neutrosophic logic, International Journal of Neutrosophic Science, Vol. 16 (1),2021, pp 42-48.

[24] Maissam Jdid, A. A. 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 (1),2022, pp 30-41.

[25] Maissam Jdid, A. A. Salama, Rafif Alhabib, Huda E. Khalid, Fatima Al Suleiman, Neutrosophic Treatment of the Static Model of Inventory Management with Deficit, International Journal of Neutrosophic Science, Vol. 18 (1),2022, pp 20-29.

[26] F. Smarandache, H. E. Khalid, A. K. Essa, M. Ali, “The Concept of Neutrosophic Less Than or Equal To: A New Insight in Unconstrained Geometric Programming”, Critical Review, Volume XII, 2016, pp. 72-80.


Cite this Article as :
Style #
MLA Maissam Jdid, Rafif Alhabib, Huda E. Khalid, A. A. Salama. "The Neutrosophic Treatment of the Static Model for the Inventory Management with Safety Reserve." International Journal of Neutrosophic Science, Vol. 18, No. 2, 2022 ,PP. 262-271 (Doi   :  https://doi.org/10.54216/IJNS.180209)
APA Maissam Jdid, Rafif Alhabib, Huda E. Khalid, A. A. Salama. (2022). The Neutrosophic Treatment of the Static Model for the Inventory Management with Safety Reserve. Journal of International Journal of Neutrosophic Science, 18 ( 2 ), 262-271 (Doi   :  https://doi.org/10.54216/IJNS.180209)
Chicago Maissam Jdid, Rafif Alhabib, Huda E. Khalid, A. A. Salama. "The Neutrosophic Treatment of the Static Model for the Inventory Management with Safety Reserve." Journal of International Journal of Neutrosophic Science, 18 no. 2 (2022): 262-271 (Doi   :  https://doi.org/10.54216/IJNS.180209)
Harvard Maissam Jdid, Rafif Alhabib, Huda E. Khalid, A. A. Salama. (2022). The Neutrosophic Treatment of the Static Model for the Inventory Management with Safety Reserve. Journal of International Journal of Neutrosophic Science, 18 ( 2 ), 262-271 (Doi   :  https://doi.org/10.54216/IJNS.180209)
Vancouver Maissam Jdid, Rafif Alhabib, Huda E. Khalid, A. A. Salama. The Neutrosophic Treatment of the Static Model for the Inventory Management with Safety Reserve. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 2 ): 262-271 (Doi   :  https://doi.org/10.54216/IJNS.180209)
IEEE Maissam Jdid, Rafif Alhabib, Huda E. Khalid, A. A. Salama, The Neutrosophic Treatment of the Static Model for the Inventory Management with Safety Reserve, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 2 , (2022) : 262-271 (Doi   :  https://doi.org/10.54216/IJNS.180209)