Modeling and optimization of a product-service system with additional service capacity and impatient customers
Modeling and optimization of a product-service system with additional service capacity and impatient customers
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DOI：
10.1016/j.cor.2013.02.015
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发表时间：
2013-08
期刊：
影响因子：
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通讯作者：
Na Li;Zhibin Jiang
中科院分区：
文献类型：
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作者：
Na Li;Zhibin Jiang
产品服务系统是一种商业模式，在这种商业模式中，公司提供多种产品和服务，以保持竞争优势、满足客户需求，并比传统商业模式产生更低的环境影响。本文从运营管理的角度研究基础产品服务系统的建模与优化问题。所提出的系统被建模为块结构马尔可夫链，具有额外的服务能力和不耐烦的客户。应用矩阵几何方法来获得系统的平稳分布。根据分布导出系统的性能指标，并通过数值实验考虑性能对参数的敏感性。同时，从利润优化的角度讨论了获得最优附加服务能力开放阈值和基础商店水平的决策过程，提出了解决该问题的算法，并通过数值实验证明了该算法的有效性和效率。最优决策对参数敏感性的研究为系统需求管理和系统改进提出了一些见解。
Product-service system is a business model, in which a company offers a mix of products and services to maintain competitive edge, satisfy customer needs, and produce lower environmental impact than that produced by a traditional business model. This paper studies the modeling and optimization problems for a basic product-service system from the view point of operation management. The proposed system, modeled as a block structure Markov chain, features additional service capacity and impatient customers. The Matrix geometric methodology is applied to obtain the stationary distribution of the system. The performance indices for the system are derived based on the distribution, and the sensitivity of the performance with respect to the parameters is considered by numerical experiments. Meanwhile, the decision process of obtaining the optimal sets of additional service capacity opening threshold and the base store level is discussed from the point of view of profit optimization We propose algorithms to solve the problem, which are shown to be effective and efficiency by numerical experiments. The studies of the sensitivity of the optimal decision to the parameters propose some insight on system demand management and system improvement.