Genetic algorithm optimization to model business investment in fashion design

IF 3 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

International Journal of Management Science and Engineering Management Pub Date : 2022-05-29 DOI:10.1080/17509653.2022.2076169

Khaled A. Al Utaibi, Robia Arif, S. M. Sait, A. Sohail, M. Awan

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Abstract

ABSTRACT In the field of marketing, business and finance, the rise and fall and the associated bifurcations can be better interpreted with the aid of differential equations and the dynamical systems. The differential equations, when Incorporated with the delayed dynamics can interpret the financial delays in more realistic manner. The parametric approximation of such differential equations can be achieved with the aid of robust optimization tool, that is termed as the genetic algorithm. In this manuscript, the concept of delay is invoked with the aid of specific factors linked with the raise and fall of investment frequency in the field of fashion industry and the corresponding stability is modeled with the aid of detailed dynamical analysis. The stability and instability criteria of delay differential equations, governing the dynamics of the investment trends is reported in this manuscript. The bifurcation and their relative criteria of occurrence is discussed. The Hopf bifurcation is important since with the aid of the bifurcation analysis, one can obtain a region of instability, and can thus invest in a safer manner by avoiding such circumstances.

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基于遗传算法优化的服装设计商业投资模型

摘要在市场营销、商业和金融领域，借助微分方程和动力系统可以更好地解释兴衰及其分叉。当微分方程与延迟动力学相结合时，可以以更现实的方式解释财务延迟。这种微分方程的参数逼近可以借助于鲁棒优化工具，即遗传算法来实现。在本文中，借助于与时尚行业投资频率上升和下降相关的特定因素，引入了延迟的概念，并借助于详细的动力学分析，对相应的稳定性进行了建模。本文报道了控制投资趋势动力学的时滞微分方程的稳定性和不稳定性准则。讨论了分叉及其相关的发生准则。Hopf分岔很重要，因为借助分岔分析，可以获得不稳定区域，从而可以通过避免这种情况以更安全的方式进行投资。

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来源期刊

International Journal of Management Science and Engineering Management OPERATIONS RESEARCH & MANAGEMENT SCIENCE-

CiteScore

8.50

自引率

33.30%

发文量

期刊介绍： International Journal of Management Science and Engineering Management (IJMSEM) is a peer-reviewed quarterly journal that provides an international forum for researchers and practitioners of management science and engineering management. The journal focuses on identifying problems in the field, and using innovative management theories and new management methods to provide solutions. IJMSEM is committed to providing a platform for researchers and practitioners of management science and engineering management to share experiences and communicate ideas. Articles published in IJMSEM contain fresh information and approaches. They provide key information that will contribute to new scientific inquiries and improve competency, efficiency, and productivity in the field. IJMSEM focuses on the following: 1. identifying Management Science problems in engineering; 2. using management theory and methods to solve above problems innovatively and effectively; 3. developing new management theory and method to the newly emerged management issues in engineering; IJMSEM prefers papers with practical background, clear problem description, understandable physical and mathematical model, physical model with practical significance and theoretical framework, operable algorithm and successful practical applications. IJMSEM also takes into account management papers of original contributions in one or several aspects of these elements.