A machine learning approach to the optimal control of the customer dynamics
Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_APRIE-11-2_005
تاریخ نمایه سازی: 23 خرداد 1403
Abstract:
We consider a continuous model of the optimal control of the customer dynamics based on marketing policies as a non-autonomous system of ODEs. The model tracks the history of the simultaneous changes from the beginning to the current time for the evolution of the company's regular, referral, and potential customers. We then present a new supervised machine-learning algorithm for the numerical simulation of the problem. The proposed learning algorithm implements a polynomial kernel to simplify the formulation of the method. To avoid computational complexity, the Bernstein kernels are used to get a simple optimization marketing strategy by using the Support Vector Regression (SVR) in a least-squares framework. Some numerical experiments are carried out to support the proposed model and the method. The method provides approximate numerical results with high accuracy by kernels of polynomials of low degree. The running time of the technique is also illustrated versus the increasing number of training points to see the polynomial behavior of the running time.
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Authors
Seyed Emadi
Department of Industrial Management, Yazd Branch, Islamic Azad University, Yazd, Iran.
Abolfazl Sadeghian
Department of Industrial Management, Yazd Branch, Islamic Azad University, Yazd, Iran.
Mozhde Rabbani
Department of Industrial Management, Yazd Branch, Islamic Azad University, Yazd, Iran.
Hassan Dehghan Dehnavi
Department of Industrial Management, Yazd Branch, Islamic Azad University, Yazd, Iran.
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