899 794
Full Length Article
International Journal of Neutrosophic Science
Volume 18 , Issue 1, PP: 20-29 , 2022 | Cite this article as | XML | Html |PDF

Title

Neutrosophic Treatment of the Static Model of Inventory Management with Deficit

  Maissam Jdid 1 * ,   A. A. Salama 2 ,   Rafif Alhabib 3 ,   Huda E. Khalid 4 ,   Fatima Al Suleiman 5

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

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

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

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

5  Business Supervisor- Department of Mathematical, Faculty of Science, Damascus, Syria
    (fatimasuliman2009@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.180103

June 26, 2021 Accepted: Jan 04, 2022

Abstract :

In this article, when the inability to manage inventory is allowed in exchange for certain fines, managers can then allow the remaining stock to run out and accumulation the order until compensation is reinstated.  The idea depends on the amount of stock deficit, which could be small in comparison to the storage cost. This refers to inventory models with deficits and is used to store damageable material. To manage these models, deficit costs should pair with storage costs by applying a mathematical model that illustrates the state in which deficit occurs by satisfying a requirement for one item. All that follows the principles of static modelling with a deficit and the ideal solution would be the most appropriate. We know that the ideal amount depends on the inventory demands. In the classical logic, we define the required storage amounts by the inventory cycle which has a constant value during the inventory cycle; however, that logic overlooks the fluctuation of inventory demands. Therefore, this manuscript conducts a study about static inventory models with a deficit for one material based on neutrosophic logic, which takes into consideration the indeterminate states and hence it provides more precise results, thus, it gives institutions a stable work environment with the least costs.

Keywords :

Inventory Management; Static Model for Inventory Management; Neutrosophic Logic; Inventory Management with Deficit by Neutrosophic Logic

References :

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

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

[3]   DavidG . Luenbrgrr, YinyuYe , Linear and Nonlinear Programming, Springer Science + Business Media, 2015.

[4]   L. A. ZADEH. Fuzzy Sets. Inform. Control 8, 1965.

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

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

[7]   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.

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

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

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

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

[12] Alhabib.R, The Neutrosophic Time Series, the Study of Its Linear Model, and test Significance of Its Coefficients. Albaath University Journal, Vol.42, 2020. (Arabic version). 

[13] Alhabib.R, Ranna.M, Farah.H and Salama, A. A, Neutrosophic Exponential Distribution. Albaath University Journal, Vol.40, 2018. (Arabic version). 

[14] Alhabib.R, Ranna.M, Farah.H and Salama, A. A, studying the random variables according to Neutrosophic logic. Albaath- University Journal, Vol (39), 2017. (Arabic version).   

[15] Alhabib.R, Ranna.M, Farah.H and Salama, A. A, Neutrosophic decision-making & neutrosophic decision tree. Albaath- University Journal, Vol (40), 2018. (Arabic version).   

[16] 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). 

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

[18] A.  A.  Salama and F. Smarandache. "Neutrosophic crisp probability theory & decision making   process." Critical Review: A Publication of Society for Mathematics of Uncertainty, vol. 12, p. 34-48, 2016.

[19] R. Alhabib, M. Ranna, H. Farah and A. A Salama,  ''Foundation of Neutrosophic Crisp Probability Theory'', Neutrosophic Operational Research, Volume III  , Edited by Florentin Smarandache,  Mohamed Abdel-Basset and Dr. Victor Chang (Editors), pp.49-60, 2017.

[20] R. Alhabib, M. Ranna, H. Farah and A. A Salama.(2018). Some Neutrosophic probability distributions. Neutrosophic Sets and Systems, 22, 30-38, 2018.

[21] 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.

[22] 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.

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

[24] 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.

[25] Madeleine Al- Tahan, Some Results on Single Valued Neutrosophic (Weak) Polygroups, International Journal of Neutrosophic Science,   Volume 2 , Issue 1, PP: 38-46 , 2020.

[26] P. Singh and Y.-P. Huang. A New Hybrid Time Series Forecasting Model Based on the Neutrosophic Set

[27] and Quantum Optimization. Computers in Industry (Elsevier), 111, 121–139, 2019.

[28]  R. Alhabib, A. A Salama, "Using Moving Averages To Pave The Neutrosophic Time Series'',      International Journal of Neutrosophic Science (IJNS), Volume III, Issue 1, PP: 14-20, 2020.

[29] Maissam Jdid , Rafif Alhabib , A. A. Salama ," The static model of inventory management without a deficit with Neutrosophic logic",  International Journal of Neutrosophic Science (IJNS), Volume 16, Issue 1, PP: 42-48, 2021.

[30] 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.

[31] 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.

[32] H. E. Khalid, “An Original Notion to Find Maximal Solution in the Fuzzy Neutrosophic Relation Equations (FNRE) with Geometric Programming (GP)”, Neutrosophic Sets and Systems, vol. 7, 2015, pp. 3-7.

[33] H. E. Khalid, “The Novel Attempt for Finding Minimum Solution in Fuzzy Neutrosophic Relational Geometric Programming (FNRGP) with (max, min) Composition”, Neutrosophic Sets and Systems, vol. 11, 2016, pp. 107-111.

[34] 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.

[35] 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. 

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

[37] H. E. Khalid, F. Smarandache, A. K. Essa, (2016). A Neutrosophic Binomial Factorial Theorem with their Refrains. Neutrosophic Sets and Systems, 14, 50-62.

[38] H. E. Khalid, A. K. Essa, (2021). The Duality Approach of the Neutrosophic Linear Programming. Neutrosophic Sets and Systems, 46, 9-23.

 


Cite this Article as :
Style #
MLA 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, No. 1, 2022 ,PP. 20-29 (Doi   :  https://doi.org/10.54216/IJNS.180103)
APA Maissam Jdid, A. A. Salama, Rafif Alhabib, Huda E. Khalid, Fatima Al Suleiman. (2022). Neutrosophic Treatment of the Static Model of Inventory Management with Deficit. Journal of International Journal of Neutrosophic Science, 18 ( 1 ), 20-29 (Doi   :  https://doi.org/10.54216/IJNS.180103)
Chicago Maissam Jdid, A. A. Salama, Rafif Alhabib, Huda E. Khalid, Fatima Al Suleiman. "Neutrosophic Treatment of the Static Model of Inventory Management with Deficit." Journal of International Journal of Neutrosophic Science, 18 no. 1 (2022): 20-29 (Doi   :  https://doi.org/10.54216/IJNS.180103)
Harvard Maissam Jdid, A. A. Salama, Rafif Alhabib, Huda E. Khalid, Fatima Al Suleiman. (2022). Neutrosophic Treatment of the Static Model of Inventory Management with Deficit. Journal of International Journal of Neutrosophic Science, 18 ( 1 ), 20-29 (Doi   :  https://doi.org/10.54216/IJNS.180103)
Vancouver Maissam Jdid, A. A. Salama, Rafif Alhabib, Huda E. Khalid, Fatima Al Suleiman. Neutrosophic Treatment of the Static Model of Inventory Management with Deficit. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 1 ): 20-29 (Doi   :  https://doi.org/10.54216/IJNS.180103)
IEEE Maissam Jdid, A. A. Salama, Rafif Alhabib, Huda E. Khalid, Fatima Al Suleiman, Neutrosophic Treatment of the Static Model of Inventory Management with Deficit, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 1 , (2022) : 20-29 (Doi   :  https://doi.org/10.54216/IJNS.180103)