Journal of Industrial and Management Optimization (JIMO)

Ergodic control for a mean reverting inventory model
Page number are going to be assigned later 2017

doi:10.3934/jimo.2017079      Abstract        References        Full text (448.4K)      

Jingzhen Liu - School of Insurance, Central University Of Finance and Economics, Beijing 100081, China (email)
Ka Fai Cedric Yiu - Department of Applied Mathematics, The Hong Kong Polytechnic University, Hunghom, Kowloon, Hong Kong, China (email)
Alain Bensoussan - Department of Systems Engineering and Engineering Management, City University of Hong Kong, Kowloon Tong, Hong Kong, China (email)

1 S. Axsater, Inventory Control, Third edition. International Series in Operations Research & Management Science, 225. Springer, Cham, 2015.       
2 D. Beyer and S. P. Sethi, Average cost optimality in inventory models with Markovian demands, Journal of Optimization Theory and Applications, 92 (1997), 497-526.       
3 D. Beyer, S. P. Sethi and M. Taksar, Inventory models with Markovian demands and cost functions of polynomial growth, Journal of Optimization Theory and Applications, 98 (1998), 281-323.       
4 A. Bensoussan, Dynamic Programming and Inventory Control, IOS Press, 2011.       
5 A. Cadenillas, P. Lakner and M. Pinedo, Optimal control of a mean-reverting inventory, Operations Research, 58 (2010), 1697-1710.       
6 C. Dellacherie and P. A. Meyer, Probabilites et Potentiel. Theorie des Martingales, Hermann, Paris, 1975.       
7 P. L. Fackler and M. J. Livingston, Optimal storage by crop producers, American Journal of Agricultural Economics, 84 (2002), 645-659.
8 S. K. Goyal and B. C. Giri, Recent trends in modeling of deteriorating inventory, European Journal of Operational Research, 134 (2001), 1-16.       
9 B. Hogaard and M. Taksar, Controlling risk exposure and dividends payout schemes: Insurance company example, Mathematical Finance, 9 (1999), 153-182.       
10 R. H. Hollier, K. L. Mak and K. F. C. Yiu, Optimal inventory control of lumpy demand items using (s, S) policies with a maximum issue quantity restriction and opportunistic replenishments, International Journal of Production Research, 43 (2005), 4929-4944.
11 J. Jacod and A. N. Shiryaev, Limit theorems for Stochastic Processes, Springer-Verlag, Berlin, 2003.       
12 S. S. Ko, J. Kang and E. Y. Kwon, An (s,S) inventory model with level-dependent G/M/1-Type structure, Journal of Industrial and Management Optimization, 12 (2016), 609-624.       
13 P. Kouvelis, R. Li and Q. Ding, Managing storable commodity risks: The role of inventory and financial hedge, Manufacturing & Service Operations Management, 15 (2013), 507-521.
14 J. Z. Liu, K. F. C. Yiu and L. H. Bai, Minimizing the ruin probability with a risk constraint, Journal of industrial and management optimization, 8 (2012), 531-547.       
15 K. L. Mak, K. K. Lai, W. C. Ng and K. F. C. Yiu, Analysis of optimal opportunistic replenishment policies for inventory systems by using a (s, S) model with a maximum issue quantity restriction, European Journal of Operational Research, 166 (2005), 385-405.       
16 M. Ormeci, J. G. Dai and J. Vande Vate, Impulse control of Brownian motion: The constrained average cost case, Operations Research, 56 (2008), 618-629.       
17 E. L. Porteus, Foundations of Stochastic Inventory Theory, Stanford Business Books, Stanford, 2002.
18 E. Presman and S. P. Sethi, Stochastic inventory models with continuous and Poisson demands and discounted and average costs, Production and Operations Management, 15 (2004), 279-293.
19 F. Raafat, Survey of literature on continuously deteriorating inventory models, Journal of the Operational Research Society, 42 (1991), 27-37.
20 L. Schwartz, The Economic Order-Quantity (EOQ) Model, D. Chhajed & T. J. Lowe (Ed.), Building Intuition: Insights From Basic Operations Management Models and Principles, Springer US, 2008.
21 S. P. Sethi, W. Suo, M. I. Taksar and H. Yan, Optimal production planning in a multi-product stochastic manufacturing system with long-run average cost, Discrete Event Dynamic Systems, 8 (1998), 37-54.       
22 S. P. Sethi, H. Zhang and Q. Zhang, Minimum average cost production planning in stochastic manufacturing systems, Mathematical Models and Methods in Applied Sciences, 8 (1998), 1251-1276.       
23 A. Sulem, A solvable one-dimensional model of a diffusion inventory system, Mathematics of Operations Research, 11 (1986), 125-133.       
24 M. I. Taksar, Average optimal singular control and a related stopping problem, Mathematics of Operations Research, { \bf 10} (1985), 63-81.       
25 S. Y. Wang, K. F. C. Yiu and K. L. Mak, Optimal inventory policy with fixed and proportional transaction costs under a risk constraint, Mathematical and Computer Modelling, 58 (2013), 1595-1614.       
26 C. D. J. Waters, Inventory Control and Management, $2^{nd}$ Ed., John Wiley & Sons, Chichester, 2003.
27 T. Weston, Applying stochastic dynamic programming to the valuation of gas storage and generation assets, In E. Ronn (ed.), Real Options and Energy Management Using Options Methodology to Enhance Capital Budgeting Decisions, Risk Publications, London, 2002.
28 T. Wild, Best Practice in Inventory Management, $2^{nd}$ Ed., Butterworth Heinemann, Oxford, 2002.
29 J. C. Williams and B. D. Wright, Storage and Commodity Markets, Cambridge University Press, 1991.
30 H. L. Xu, P. Sui, G. L. Zhou and L. Caccetta, Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method, Numerical Algebra, Control and Optimization, 3 (2013), 655-664.       
31 K. F. C. Yiu, S. Y. Wang and K. L. Mak, Optimal portfolios under a value-at-risk constraint with applications to inventory control in supply chains, Journal of Industrial and Management Optimization, 4 (2008), 81-94.       
32 K. F. C. Yiu, L. L. Xie and K. L. Mak, Analysis of bullwhip effect in supply chains with heterogeneous decision models, Journal of Industrial and Management Optimization, 5 (2009), 81-94.       
33 Y. S. Zheng, A simple proof for optimality of (s; s) policies in infinite-horizon inventory systems, Journal of Applied Probability, 28 (1991), 802-810.       
34 P. H. Zipkin, Foundations of Inventory Management, McGraw-Hill/Irwin, 2000.

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