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

我们将研究两个延迟系统，其中提供给客户的选项或提供给客户的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”随机需求过程的方法，以平衡需求和供给。涉及三个问题的第一个项目是关于实施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生产到库存队列中的库存不断审查和控制的基本库存政策。给定一组价格，我们的目标是找到在库存或缺货水平，更高的价格应该收取，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提前期列出价格菜单。这意味着在较长的交货期内降低价格，并且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。第三个问题涉及一个灵活的制造系统，其中必须做出生产决策。在利润最大化准则下，将先到先得、先占-恢复优先和动态近视策略与最优解进行比较。

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.