Performance improvement in delay systems by partially controlling the customer arrival processes

我们将研究两个延迟系统，在这两个系统中，提供给客户的选项或提供给客户的信息可以提高系统性能，但代价是失去一些客户。这一机制是对随机需求过程进行“部分控制”，以达到供需平衡的一种方式。第一个涉及三个问题的项目是关于实施动态定价策略的生产/库存系统。第一个问题是单一产品按库存生产的队列，其中库存由基础库存政策持续审查和控制。给定一组价格，我们的目标是找出在哪些库存或缺货水平上，应该收取更高的价格，以降低缺货成本。在第二个问题中，该公司能够根据客户愿意等待的交货期列出价格菜单。这意味着更低的价格意味着更长的交货期，分析需要动态地对客户进行优先级排序，以满足承诺的交货期。通过这样的价格菜单，公司遭受的短缺成本更少，利润最大化。第三个问题涉及到必须做出生产决策的柔性制造系统。将先到先得、抢先恢复优先和动态短视策略与利润最大化准则下的最优解进行比较。

We will study two delay systems in which options offered or the information provided to the customers can increase system performance at the expense of the loss of some customers. This mechanism is a way to "partially control" the random demand processes in order to balance the demand and supply. The first project involving three problems is on a production/inventory system in which dynamic pricing policies are implemented. The first problem is a single product make-to-stock queue in which the inventory is continuously reviewed and controlled by a base-stock policy. Given a set of prices, we aim to find at which inventory or backordering levels, higher prices should be charged in order to reduce stock out costs. In the second problem, the company is able to list a price menu dependent on the lead time the customer is willing to wait. This suggests lower prices for longer lead times and the analysis requires dynamic prioritization of customers to meet the promised lead times.With such price menus, the company suffers less shortage costs and maximizes the profit. The third problem involves a flexible manufacturing system in which production decisions have to be made. First-come-first-served, preemptive-resume priority and dynamic myopic policies will be compared to the optimal solution under profit maximization criterion.