کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900985 1631726 2018 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimal control of the customer dynamics based on marketing policy
ترجمه فارسی عنوان
کنترل بهینه از پویایی مشتری بر اساس سیاست بازاریابی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
We consider an optimal control problem for a non-autonomous model of ODEs that describes the evolution of the number of customers in some firm. Namely we study the best marketing strategy. Considering a L2 cost functional, we establish the existence and uniqueness of optimal solutions, using an inductive argument to obtain uniqueness on the whole interval from local uniqueness. We also present some simulation results, based on our model, and compare them with results we obtain for an L1 cost functional. For the L1 cost functional the optimal solutions are of bang-bang type and thus easier to implement, because at every moment possible actions are chosen from a finite set of possibilities. For the autonomous case of L2 problem, we show the effectiveness of the optimal control strategy against other formulations of the problem with simpler controls.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 330, 1 August 2018, Pages 42-55
نویسندگان
, , , , ,