Stochastic Optimal Control for Dynamic Pricing and Production in Fashion Retailing: An Economic Sustainability Approach

This study develops a stochastic optimal control model to optimize dynamic pricing and production strategies for fashion retailers facing uncertain demand and rapid product devaluation. Applying the Hamilton–Jacobi–Bellman equation approach, we derive profit-maximizing joint pricing and production p...

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Main Authors: Xin Wang, Qi Chen
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/ddns/4854557
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author Xin Wang
Qi Chen
author_facet Xin Wang
Qi Chen
author_sort Xin Wang
collection DOAJ
description This study develops a stochastic optimal control model to optimize dynamic pricing and production strategies for fashion retailers facing uncertain demand and rapid product devaluation. Applying the Hamilton–Jacobi–Bellman equation approach, we derive profit-maximizing joint pricing and production policies. Key findings include the following: (1) Dynamic pricing and responsive production strategies outperform static pricing in terms of expected discounted profit under various market conditions. (2) Optimal dynamic prices exhibit a declining trend over the product lifecycle, aligning with observed practices in fast fashion. (3) The optimal production rate adapts to current inventory levels and market conditions, balancing the trade-off between stockouts and holding costs. (4) The model demonstrates robustness to variations in price elasticity, providing a flexible decision framework for diverse fashion market segments. (5) Extreme demand volatility reduces the economic benefits of dynamic policies, highlighting the need for additional risk management strategies. This research contributes to sustainable operations’ literature by integrating pricing and production decisions under uncertainty, offering theoretically grounded and practical insights for fashion retailers to enhance profitability and reduce waste.
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institution Kabale University
issn 1607-887X
language English
publishDate 2024-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-75257a934dc1462ba6fb962d6ad254e12025-01-07T00:00:01ZengWileyDiscrete Dynamics in Nature and Society1607-887X2024-01-01202410.1155/ddns/4854557Stochastic Optimal Control for Dynamic Pricing and Production in Fashion Retailing: An Economic Sustainability ApproachXin Wang0Qi Chen1Department of Economics and ManagementDepartment of Economics and ManagementThis study develops a stochastic optimal control model to optimize dynamic pricing and production strategies for fashion retailers facing uncertain demand and rapid product devaluation. Applying the Hamilton–Jacobi–Bellman equation approach, we derive profit-maximizing joint pricing and production policies. Key findings include the following: (1) Dynamic pricing and responsive production strategies outperform static pricing in terms of expected discounted profit under various market conditions. (2) Optimal dynamic prices exhibit a declining trend over the product lifecycle, aligning with observed practices in fast fashion. (3) The optimal production rate adapts to current inventory levels and market conditions, balancing the trade-off between stockouts and holding costs. (4) The model demonstrates robustness to variations in price elasticity, providing a flexible decision framework for diverse fashion market segments. (5) Extreme demand volatility reduces the economic benefits of dynamic policies, highlighting the need for additional risk management strategies. This research contributes to sustainable operations’ literature by integrating pricing and production decisions under uncertainty, offering theoretically grounded and practical insights for fashion retailers to enhance profitability and reduce waste.http://dx.doi.org/10.1155/ddns/4854557
spellingShingle Xin Wang
Qi Chen
Stochastic Optimal Control for Dynamic Pricing and Production in Fashion Retailing: An Economic Sustainability Approach
Discrete Dynamics in Nature and Society
title Stochastic Optimal Control for Dynamic Pricing and Production in Fashion Retailing: An Economic Sustainability Approach
title_full Stochastic Optimal Control for Dynamic Pricing and Production in Fashion Retailing: An Economic Sustainability Approach
title_fullStr Stochastic Optimal Control for Dynamic Pricing and Production in Fashion Retailing: An Economic Sustainability Approach
title_full_unstemmed Stochastic Optimal Control for Dynamic Pricing and Production in Fashion Retailing: An Economic Sustainability Approach
title_short Stochastic Optimal Control for Dynamic Pricing and Production in Fashion Retailing: An Economic Sustainability Approach
title_sort stochastic optimal control for dynamic pricing and production in fashion retailing an economic sustainability approach
url http://dx.doi.org/10.1155/ddns/4854557
work_keys_str_mv AT xinwang stochasticoptimalcontrolfordynamicpricingandproductioninfashionretailinganeconomicsustainabilityapproach
AT qichen stochasticoptimalcontrolfordynamicpricingandproductioninfashionretailinganeconomicsustainabilityapproach