Ahmad A. Abubaker

American scientific publishing group

American scientific publishing group

This paper proposes a novel inventory control policy called the dynamic order policy. The proposed policy dynamically adjusts the reorder quantity based on two threshold levels (s∗, s, S, S∗), enhancing its flexibility compared to the traditional policy (s, S). The new policy allows placing a larger order when the inventory drops below a threshold of s∗ and places a standard order when the inventory falls between the thresholds of s∗ and s. A genetic algorithm is employed to optimize the inventory decision parameters due to its ability to solve complex, nonlinear discrete problems. The model is tested under various simulation scenarios by demand rate, lead time, and customer volume. The results demonstrate that the proposed policy reduces the total average cost by up to 6.7% compared to the traditional policy. This dynamic framework presents a promising alternative for managing uncertain inventory environments with backlogs and variable lead times.

In this paper, we investigate new contraction results for 3-self-mappings on generalized metric spaces (GM-spaces) and develop and highlight the importance of several particular common fixed point (CFP) theorems. Our study contributes to the theoretical framework of fixed point theory by highlighting the existence of such points and thoroughly proving their uniqueness. As a practical application of our theoretical findings, we design and analyze a convincing case including 3-self mappings to further support the uniqueness of a CFP for generalized contractions in the given space. We also provide a solid and perceptive application pertaining to nonlinear integral equations to further support the wider applicability of our primary contributions, demonstrating the usefulness of our discoveries in mathematical analysis and beyond. An excellent example is developed for better understanding the results.

We rigorously examine the concept of bipolar vague soft expert sets (BPVSESs) and their defining characteristics. Fundamental operations such as complement, union, and intersection are firmly established as foundational elements of the framework. Additionally, the notion of bipolar vague soft expert topology (BPVSET) is introduced, along with eight innovative definitions. Among these, the definition of the bipolar vague soft expert pre-open set, often abbreviated as the p-open set, is particularly significant for constructing diverse structures. This study also provides a strong and healthy articulation of the concepts of interior and closure, offering a detailed exploration of their interactions. Furthermore, it develops foundational topological concepts in bipolar vague soft expert topology by introducing and analyzing bases, sub-bases, and local bases. The notions of first and second countability in the bipolar vague soft expert topology context are formally defined, while separability is explored via countable dense sets. These results enhance the theoretical framework of bipolar vague soft expert topological space, supporting soft topological modeling under uncertainty and parameterization. A comprehensive investigation into these foundational concepts culminates in a series of compelling results concerning the basis of bipolar vague soft expert topological spaces. Finally, it introduces a decision-making framework based on bi-polar vague soft expert sets to support cancer diagnosis.

This paper establishes new applications of q ‐calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q ‐difference operator. We introduce the q ‐Ruscheweyh‐type derivative operator for meromorphic harmonic functions and utilize it to define and explore novel subclasses related to Janowski functions. Our investigation demonstrates the analytic criteria, radii of starlikeness, radii of convexity, and topological properties for these newly defined subclasses of meromorphic harmonic functions. Additionally, we determine the closed convex hull and extreme points of meromorphic harmonic functions within these newly defined subclasses.

American scientific publishing group

In this paper, we study the applications of block method to find the numerical solutions of some neutrosophic differential problems, where we discuss the approximated n-refined neutrosophic solutions and absolute n-refined neutrosophic errors in two special cases for n=2, and n=3. In addition, we list the numerical tables of our results.

American scientific publishing group

American scientific publishing group