Brownian Inventory Models with Convex Holding Cost, Part 1: Average-Optimal Controls
نویسندگان
چکیده
منابع مشابه
Brownian Inventory Models with Convex
We consider an inventory system in which inventory level fluctuates as a Brownian motion in the absence of control. The inventory continuously accumulates cost at a rate that is a general convex function of the inventory level, which can be negative when there is a backlog. At any time, the inventory level can be adjusted by a positive or negative amount, which incurs a fixed cost and a proport...
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Among both inventory theorists and practitioners, it is common use to include an opportunity cost rate in the holding cost rate. In that way, the cost of capital can be roughly incorporated in an average cost (AC) inventory model. The traditional way for calculating the opportunity cost rate is to multiply the interest rate (or discount rate) by the marginal cost for producing/ordering an item....
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Corresponding Author: Rakesh Prakash Tripathi Department of Mathematics Graphic Era University, Dehradun, India Email: [email protected] Abstract: In real life customers are motivated to buy more if there is more availability of product. In this study, we develop inventory model for inventory dependent demand with different holding cost function. Mathematical formulations are discu...
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This paper is concerned with long-run average cost minimization of a stochastic inventory problem with Markovian demand, fixed ordering cost, convex surplus cost, and lost sales. The states of the Markov chain represent different possible states of the environment. Using a vanishing discount approach, a dynamic programming equation and the corresponding verification theorem are established. Fin...
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ژورنال
عنوان ژورنال: Stochastic Systems
سال: 2013
ISSN: 1946-5238,1946-5238
DOI: 10.1287/11-ssy041