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Capacity Allocation of an Integrated Production and Service System

机译：集成生产和服务系统的能力分配

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Manufacturing servitization has become a major trend in industry that is implemented by so called integrated production and service systems (IPSSs) to offer not only products but also their associated services. In this study, we explore the capacity allocation policy for an IPSS that consists of a manufacturing facility and a service center. The IPSS serves two classes of customers, each demanding a specific product produced at the manufacturing facility and, subsequently, the associated service offered by the service center. We formulate this problem of resource allocation as a Markov decision process. Our analysis suggests that it is optimal to serve the customer with the larger cost saving rate and slower service rate, where the cost saving rate equals service rate times the sum of holding cost and waiting cost. Then we explore production control policies coupled with optimal service ones. We demonstrate that, with light service traffic, the system under the optimal production policy becomes similar to a make-to-stock system. Such a system can effectively hedge the system uncertainty. Therefore, the optimal production policy for the IPSS is also a hedging point policy. Under this policy, switching and idling curves split the state space into three regions: one without any production, the two others for production of two type products, respectively. We also discuss the optimal control policies of the two extensions of the IPSS (one with multiple types of product and customers, and the other with a single product and two classes of customers) and find that the characters of the optimal production and service policy still hold. Finally, we develop three heuristic integrated scheduling policies. Numerical experiments show that one is very effective.
机译：制造驾驶已成为行业的主要趋势，由所谓的综合生产和服务系统（IPSS）实施，不仅提供产品，还提供其相关服务。在这项研究中，我们探讨了由制造设施和服务中心组成的IPS的容量分配策略。 IPSS为两类客户提供服务，每个客户都要求在制造工厂生产的特定产品，随后，服务中心提供的相关服务。我们制定了作为Markov决策过程的资源分配问题。我们的分析表明，为客户提供更大的成本节省率和较慢的服务率，以便节省成本率等于保持成本和等待成本的总和。然后我们探索加上最佳服务的生产控制政策。我们证明，通过轻型服务流量，系统下的最佳生产政策的系统变得类似于制作对储蓄系统。这种系统可以有效地对冲系统不确定性。因此，IPSS的最佳生产政策也是对冲点政策。在此策略下，切换和空转曲线将状态空间分成三个区域：一个没有任何生产，另外两种用于生产两种类型的产品。我们还讨论了IPSS的两个扩展的最佳控制策略（具有多种类型的产品和客户，另一种产品和两类客户），并发现最佳生产和服务政策的特征仍然存在抓住。最后，我们开发了三个启发式综合调度政策。数值实验表明，一个非常有效。

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