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

我们将研究两种延迟系统，在这两种系统中，向客户提供的选项或信息可以以损失一些客户为代价来提高系统性能。这种机制是一种“部分控制”随机需求过程的方式，以平衡需求和供给。第一个项目涉及三个问题，是关于执行动态定价政策的生产/库存系统。第一个问题是一个单一的产品从生产到库存的队列，其中的库存是由基本库存策略连续检查和控制的。给定一组价格，我们的目标是找出在哪个库存或缺货水平，应该收取更高的价格，以减少缺货成本。在第二个问题中，公司能够根据客户愿意等待的交货时间列出价格菜单。这意味着较低的价格可以延长交货期，分析需要对客户进行动态优先排序，以满足承诺的交货期。有了这样的价格菜单，公司减少了短缺成本，实现了利润最大化。第三个问题涉及一个灵活的制造系统，在这个系统中必须做出生产决策。比较利润最大化准则下的先到先得、优先恢复和动态近视策略的最优解。

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.