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In this paper, we present a continuous time optimal control model for studying a dynamic pricing and inventory control problem for a make‐to‐stock manufacturing system. We consider a multiproduct capacitated, dynamic setting. We introduce a demand‐based model where the demand is a linear function of the price, the inventory cost is linear, the production cost is an increasing strictly convex function of the production rate, and all coefficients are time‐dependent. A key part of the model is that no backorders are allowed. We introduce and study an algorithm that computes the optimal production and pricing policy as a function of the time on a finite time horizon, and discuss some insights. Our results illustrate the role of capacity and the effects of the dynamic nature of demand in the model. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007 相似文献
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For most firms, especially the small‐ and medium‐sized ones, the operational decisions are affected by their internal capital and ability to obtain external capital. However, the majority of the literature on dynamic inventory control ignores the firm's financial status and financing issues. An important question that arises is: what are the optimal inventory and financing policies for firms with limited internal capital and limited access to external capital? In this article, we study a dynamic inventory control problem where a capital‐constrained firm periodically purchases a product from a supplier and sells it to a market with random demands. In each period, the firm can use its own capital and/or borrow a short‐term loan to purchase the product, with the interest rate being nondecreasing in the loan size. The objective is to maximize the firm's expected terminal wealth at the end of the planning horizon. We show that the optimal inventory policy in each period is an equity‐level‐dependent base‐stock policy, where the equity level is the sum of the firm's capital level and the value of its on‐hand inventory evaluated at the purchasing cost; and the structure of the optimal policy can be characterized by four intervals of the equity level. Our results shed light on the dynamic inventory control for firms with limited capital and short‐term financing capabilities.Copyright © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 184–201, 2014 相似文献
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We consider a discrete‐time groundwater model in which the cost of pumping takes a slightly different form to that which has been traditional in the research literature to date. This enables us to prove that (a) the optimal pumping quantity is nondecreasing in the ground water stock, (b) the stock level remaining after each period's pumping is also nondecreasing in the groundwater stock, (c) the optimal decision is determined by maximizing a concave function, and finally (d) the optimal pumping quantity is nonincreasing in the number of periods to go. We show that (a)–(c), while intuitive, do not hold under traditional modeling assumptions. We also explain the connections between our results and similar ones for some classic problems of operations research. © 2011 Wiley Periodicals, Inc. Naval Research Logistics 00: 000–000, 2011 相似文献
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基于提升结构的因果化实现及优化在将两带滤波器组转化为单进单出系统时子带系数的叠混模式,提出了一种改进的低内存需求的离散小波变换(Enhanced Low-memory Discrete Wavelet Transform,ELDWT)实现方法.相对于DWT的常规全局实现法,基于ELDWT实现的正、逆离散小波变换均具有与... 相似文献
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竞争失效场合加速试验技术是加速试验由简单结构产品向复杂结构产品推广应用的基础,而如何设计试验方案使统计结果最准确、代价最小,是其中的主要研究内容之一.针对传统解析优化方法推导过程比较复杂的问题,提出了一种基于Monte Carlo仿真的竞争失效场合加速试验优化设计方法.在备选方案较多的情况下,通过引入曲面拟合进行间接优... 相似文献
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本文应用结构的敏感度分析法,以敏感区的频响函数作为观测特征量,建立了故障诊断的识别方程。利用Kalman 滤波迭代算法对某工程圆管进行了刚度型故障诊断的仿真计算和试验分析。结果表明振动诊断技术可用于工程结构故障的微机实时监控,具有精度较高,抗干扰能力较强的特点。 相似文献
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