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Generalized minimax theorems for two set-valued mappings
Inventory policies for a partially observed supply capacity model
1. | Department of Automation, Tsinghua University, Beijing 100084, China, China |
References:
[1] |
A. Bensoussan, M. Cakanyildirim, J. Minjárez-Sosa, A. Royal and S. Sethi, Inventory problems with partially observed demands and lost sales, Journal of Optimization Theory and Applications, 136 (2008), 321-340.
doi: 10.1007/s10957-007-9311-0. |
[2] |
A. Bensoussan, M. Cakanyildirim, J. A. Minjárez-Sosa, S. P. Sethi and R. X. Shi, Partially observed inventory systems: The case of rain checks, SIAM Journal on Control and Optimization, 47 (2008), 2490-2519.
doi: 10.1137/070688663. |
[3] |
A. Bensoussan, M. Cakanyildirim and S. P. Sethi, On the optimal control of partially observed inventory systems, Comptes Rendus Mathematique, 341 (2005), 419-426.
doi: 10.1016/j.crma.2005.08.003. |
[4] |
A. Bensoussan, M. Cakanyildirim and S. P. Sethi, A multiperiod newsvendor problem with partially observed demand, Mathematics of Operations Research, 32 (2007), 322-344.
doi: 10.1287/moor.1060.0236. |
[5] |
A. Bensoussan, M. Cakanyildirim and S. P. Sethi, Partially observed inventory systems: The case of zero-balance walk, SIAM Journal on Control and Optimization, 46 (2007), 176-209.
doi: 10.1137/040620321. |
[6] |
A. Bensoussan, M. Cakanyildirim and S. P. Sethi, Censored newsvendor model revisited with unnormalized probabilities, Journal of Industrial and Management Optimization, 5 (2009), 391-402.
doi: 10.3934/jimo.2009.5.391. |
[7] |
A. Bensoussan, M. Cakanyildirim and S. P. Sethi, A note on "The Censored Newsvendor and the Optimal Acquisition of Information", Operations Research, 57 (2009), 791-794.
doi: 10.1287/opre.1080.0609. |
[8] |
E. Bayraktar and M. Ludkovski, Inventory management with partially observed nonstationary demand, Annals of Operations Research, 176 (2010), 37-39.
doi: 10.1007/s10479-009-0513-8. |
[9] |
F. Cheng and S. P. Sethi, Optimality of state-dependent (s,S) policies in inventory models with Markov-modulated demand and lost sales, Production and Operations Management, 8 (1999), 183-192.
doi: 10.1111/j.1937-5956.1999.tb00369.x. |
[10] |
G. Gallego and L. B. Toktay, All-or-nothing ordering under a capacity constraint, Operations Research, 52 (2004), 1001-1002.
doi: 10.1287/opre.1040.0153. |
[11] |
H. Wang, B. Chen and H. Yan, Optimal inventory decisions in a multiperiod newsvendor problem with partially observed Markovian supply capacities, European Journal of Operational Research, 51 (2010), 502-517.
doi: 10.1016/j.ejor.2009.05.042. |
[12] |
J. Gallien and L. M. Wein, A smart market for industrial procurement with capacity constraints, Management Science, 51 (2005), 76-91.
doi: 10.1287/mnsc.1040.0230. |
[13] |
J. T. Treharne and C. R. Sox, Adaptive inventory control for nonstationary demand and partial information, Management Science, 48 (2002), 607-624.
doi: 10.1287/mnsc.48.5.607.7807. |
[14] |
K. R. Kamath and T. P. M. Pakkala, A bayesian approach to a dynamic inventory model under an unknown demand distribution, Computers and Operations Research, 29 (2002), 403-422. |
[15] |
K. S. Azoury, Bayes solution to dynamic inventory models under unknown demand distribution, Management Science, 31 (1985), 1150-1160.
doi: 10.1287/mnsc.31.9.1150. |
[16] |
M. Parlar, Y. Wang and Y. Gerchak, A periodic review inventory model with Markovian supply availability, International Journal of Production Economics, 42 (1995), 131-136.
doi: 10.1016/0925-5273(95)00115-8. |
[17] |
R. Yin and K. Rajaram, Joint pricing and inventory control with a Markovian demand model, European Journal of Operational Research, 182 (2007), 113-126.
doi: 10.1016/j.ejor.2006.06.054. |
[18] |
S. A. Conrad, Sales data and the estimation of demand, Operational Research Quarterly (1970-1977), 27 (1976), 123-127. |
[19] |
S. P. Sethi and F. Cheng, Optimality of (s, S) policies in inventory models with Markovian demand, Operations Research, 45 (1997), 931-939.
doi: 10.1287/opre.45.6.931. |
[20] |
X. Ding, M. L. Puterman and B. Arnab, The censored newsvendor and the optimal acquisition of information, Operations Research, 50 (2002), 517-527.
doi: 10.1287/opre.50.3.517.7752. |
[21] |
Y. Aviv and A. Pazgal, A partially observed markov decision process for dynamic pricing, Management Science, 5 (2005), 1400-1416.
doi: 10.1287/mnsc.1050.0393. |
show all references
References:
[1] |
A. Bensoussan, M. Cakanyildirim, J. Minjárez-Sosa, A. Royal and S. Sethi, Inventory problems with partially observed demands and lost sales, Journal of Optimization Theory and Applications, 136 (2008), 321-340.
doi: 10.1007/s10957-007-9311-0. |
[2] |
A. Bensoussan, M. Cakanyildirim, J. A. Minjárez-Sosa, S. P. Sethi and R. X. Shi, Partially observed inventory systems: The case of rain checks, SIAM Journal on Control and Optimization, 47 (2008), 2490-2519.
doi: 10.1137/070688663. |
[3] |
A. Bensoussan, M. Cakanyildirim and S. P. Sethi, On the optimal control of partially observed inventory systems, Comptes Rendus Mathematique, 341 (2005), 419-426.
doi: 10.1016/j.crma.2005.08.003. |
[4] |
A. Bensoussan, M. Cakanyildirim and S. P. Sethi, A multiperiod newsvendor problem with partially observed demand, Mathematics of Operations Research, 32 (2007), 322-344.
doi: 10.1287/moor.1060.0236. |
[5] |
A. Bensoussan, M. Cakanyildirim and S. P. Sethi, Partially observed inventory systems: The case of zero-balance walk, SIAM Journal on Control and Optimization, 46 (2007), 176-209.
doi: 10.1137/040620321. |
[6] |
A. Bensoussan, M. Cakanyildirim and S. P. Sethi, Censored newsvendor model revisited with unnormalized probabilities, Journal of Industrial and Management Optimization, 5 (2009), 391-402.
doi: 10.3934/jimo.2009.5.391. |
[7] |
A. Bensoussan, M. Cakanyildirim and S. P. Sethi, A note on "The Censored Newsvendor and the Optimal Acquisition of Information", Operations Research, 57 (2009), 791-794.
doi: 10.1287/opre.1080.0609. |
[8] |
E. Bayraktar and M. Ludkovski, Inventory management with partially observed nonstationary demand, Annals of Operations Research, 176 (2010), 37-39.
doi: 10.1007/s10479-009-0513-8. |
[9] |
F. Cheng and S. P. Sethi, Optimality of state-dependent (s,S) policies in inventory models with Markov-modulated demand and lost sales, Production and Operations Management, 8 (1999), 183-192.
doi: 10.1111/j.1937-5956.1999.tb00369.x. |
[10] |
G. Gallego and L. B. Toktay, All-or-nothing ordering under a capacity constraint, Operations Research, 52 (2004), 1001-1002.
doi: 10.1287/opre.1040.0153. |
[11] |
H. Wang, B. Chen and H. Yan, Optimal inventory decisions in a multiperiod newsvendor problem with partially observed Markovian supply capacities, European Journal of Operational Research, 51 (2010), 502-517.
doi: 10.1016/j.ejor.2009.05.042. |
[12] |
J. Gallien and L. M. Wein, A smart market for industrial procurement with capacity constraints, Management Science, 51 (2005), 76-91.
doi: 10.1287/mnsc.1040.0230. |
[13] |
J. T. Treharne and C. R. Sox, Adaptive inventory control for nonstationary demand and partial information, Management Science, 48 (2002), 607-624.
doi: 10.1287/mnsc.48.5.607.7807. |
[14] |
K. R. Kamath and T. P. M. Pakkala, A bayesian approach to a dynamic inventory model under an unknown demand distribution, Computers and Operations Research, 29 (2002), 403-422. |
[15] |
K. S. Azoury, Bayes solution to dynamic inventory models under unknown demand distribution, Management Science, 31 (1985), 1150-1160.
doi: 10.1287/mnsc.31.9.1150. |
[16] |
M. Parlar, Y. Wang and Y. Gerchak, A periodic review inventory model with Markovian supply availability, International Journal of Production Economics, 42 (1995), 131-136.
doi: 10.1016/0925-5273(95)00115-8. |
[17] |
R. Yin and K. Rajaram, Joint pricing and inventory control with a Markovian demand model, European Journal of Operational Research, 182 (2007), 113-126.
doi: 10.1016/j.ejor.2006.06.054. |
[18] |
S. A. Conrad, Sales data and the estimation of demand, Operational Research Quarterly (1970-1977), 27 (1976), 123-127. |
[19] |
S. P. Sethi and F. Cheng, Optimality of (s, S) policies in inventory models with Markovian demand, Operations Research, 45 (1997), 931-939.
doi: 10.1287/opre.45.6.931. |
[20] |
X. Ding, M. L. Puterman and B. Arnab, The censored newsvendor and the optimal acquisition of information, Operations Research, 50 (2002), 517-527.
doi: 10.1287/opre.50.3.517.7752. |
[21] |
Y. Aviv and A. Pazgal, A partially observed markov decision process for dynamic pricing, Management Science, 5 (2005), 1400-1416.
doi: 10.1287/mnsc.1050.0393. |
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