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

##### Authors Names :   Maissam Jdid   1 * Rafif Alhabib   2 Huda E. Khalid   3 A. A. Salama   4

1  Affiliation :  Faculty of Informatics Engineering, Al-Sham Private University, Damascus, Syria

Email :  m.j.foit@aspu.edu.sy

2  Affiliation :  Department of Mathematical Statistics, Faculty of Science, AL Baath University, Homs, Syria

Email :  rafif.alhabib85@gmail.com

3  Affiliation :  Administrative Assistant for the President of Telafer University, Telafer, Iraq.

Email :  dr.huda-ismael@uotelafer.edu.iq

4  Affiliation :  Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt

Email :  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.

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[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.

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