Optimal Production Control of Hybrid Manufacturing/Remanufacturing Failure-Prone Systems under Diffusion-Type Demand

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References

[1] M. Fleischmann, “Quantitative Models for Reverse Logistics,” Springer Verlag, New York, 2001.
doi:10.1007/978-3-642-56691-2

[2] M. P. De Brito, R. Dekker and S. D. P. Flapper, “Reverse Logistics: A Review of Case Studies,” ERIM Report Series Reference No. ERS-2003-012-LIS, 2003.

[3] G. P. Kiesmüller and C. W. Scherer, “Computational Issues in a Stochastic Finite Horizon One Product Recovery Inventory Model,” European Journal of Operational Research, Vol. 146, No. 3, 2003, pp. 553-579.
doi:10.1016/S0377-2217(02)00249-7

[4] K. Inderfurth, “Optimal Policies in Hybrid Manufacturing/Remanufacturing System with Product Substitution,” International Journal of Production Economics, Vol. 90, No. 3, 2004, pp. 325-343.
doi:10.1016/S0925-5273(02)00470-X

[5] M. E. Nikoofal and S. M. M. Husseini, “An Inventory Model with Dependent Returns and Disposal Cost,” International Journal of Industrial Engineering Computations, Vol. 1, No. 1, 2010, pp. 45-54.

[6] S. Oscar and F. Silva, “Suboptimal Production Planning Policies for Closed-Loop System with Uncertain Levels of Demand and Return,” The 18th IFAC World Congress, Milano, 28 August-2 September 2011.

[7] I. Dobos, “Optimal Production-Inventory Strategies for HMMS-Type Reverse Logistics System,” International Journal of Production Economics, Vol. 81-82, 2003, pp. 351-360. doi:10.1016/S0925-5273(02)00277-3

[8] W. H. Fleming, H. M. Soner and S. P. Sethi, “A Stochastic Production Planning Problem with Random Demand,” SIAM Journal on Control and Optimization, Vol. 25, No. 6, 1987, pp.1494-1502. doi:10.1137/0325082

[9] E. K. Boukas and A. Haurie, “Manufacturing Flow Control and Preventive Maintenance: A Stochastic Approach,” IEEE Transactions on Automatic Control, Vol. 33, No. 9, 1990, pp. 1024-1031. doi:10.1109/9.58530

[10] J. P. Kenné and E. K. Boukas, “Hierarchical Control of Production and Maintenance Rates in Manufacturing Systems,” Journal of Quality in Maintenance Engineering, Vol. 9, No. 1, 2003, pp. 66-82.
doi:10.1108/13552510310466927

[11] J. P. Kenné, P. Dejax and A. Gharbi, “Production Planning of a Hybrid Manufacturing-Remanufacturing System under Uncertainty within a Closed-Loop Supply Chain,” International Journal of Production Economics, Vol. 135, No. 1, 2012, pp. 81-93. doi:10.1016/j.ijpe.2010.10.026

[12] H. Yan and Q. Zhang, “A Numerical Method in Optimal Production and Setup Scheduling of Stochastic Manufacturing Systems,” IEEE Transaction on Automatic Control, Vol. 42, No. 10, 1997, pp. 441-449.
doi:10.1109/9.633837

[13] E. Khemlnitsky, E. Presman and S. P. Sethi, “Optimal Production Control of a Failure-Prone Machine,” Annals of Operations Research, Vol. 182, 2011, pp. 67-86.
doi:10.1007/s10479-009-0668-3

[14] J. R. Perkins and R. Srikant, “Failure-Prone Production Systems with Uncertain Demand,” IEEE Transaction on Automatic Control, Vol. 46, No. 3, 2001, pp. 441-449.
doi:10.1109/9.911420

[15] E. Presman and S. P. Sethi, “Inventory Models with Continuous and Poisson Demands and Discounted and Average Costs,” Production and Operations Management, Vol. 15, No. 2, 2006, pp. 279-293.
doi:10.1111/j.1937-5956.2006.tb00245.x

[16] A. Bensoussan, R. Liu and S. P. Sethi, “Optimality of an (s, S) Policy with Compound Poisson and Diffusion Demands: A Q.V.I. Approach,” SIAM Journal of Control and Optimization, Vol. 44, No. 5, 2005, pp. 1650-1676.
doi:10.1137/S0363012904443737

[17] H. J. Kushner and P. Dupuis, “Numerical Methods for Stochastic Control Problems in Continuous Time,” Springer Verlag, New York, 1992.
doi:10.1007/978-1-4684-0441-8

[18] W. H. Fleming and H. M. Soner, “Controlled Markov Processes and Viscosity Soutions,” Springer Verlag, New York, 2005.

[19] G. Barles and E. R. Jakobsen, “On the Convergence Rate of Approximation Schemes for HJB Equations,” Mathematical Modeling and Numerical Analysis, Vol. 36, No. 1, 2002, pp. 33-54. doi:10.1051/m2an:2002002

[20] N. V. Krylov, “On the Rate of Convergence of Finite-Difference Approximations for Bellman’s Equations with Variable Coeffcients,” Probability Theory and Related Fields, Vol. 117, No. 1, 2000, pp. 1-16.
doi:10.1007/s004400050264