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Channel coordination mechanism with retailers having fairness preference ---An improved quantity discount mechanism
On constraint qualifications: Motivation, design and inter-relations
1. | Edward P. Fitts Department of Industrial and Systems Engineering, North Carolina State University, Raleigh, NC, 27695, United States |
2. | Department of Industrial and System Engineering, North Carolina State University, Raleigh, NC 27695 |
3. | Department of Mathematical Sciences, Tsinghua University, Beijing, 100084 |
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Mathematical Programming, 135 (2012), 255-273.
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Journal of Optimization Theory and Applications, 125 (2005), 473-483.
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Naval Research Logistics Quarterly, 8 (1961), 175-191.
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Mathematical Programming, 35 (1986), 83-96.
doi: 10.1007/BF01589443. |
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SIAM Journal on Control, 4 (1966), 528-547.
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RAND Memorandum RM-3858-PR, RAND Corporation, 1963. Google Scholar |
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Princeton University Press, Princeton, 1953. Google Scholar |
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McGraw-Hill Book Company, Inc., New York-Toronto-London, 1960. |
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Optimization, 25 (1992), 11-23.
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SIAM Journal on Applied Mathematics, 20 (1971), 164-172.
doi: 10.1137/0120021. |
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Mathematical Programming, 2 (1972), 1-18.
doi: 10.1007/BF01584534. |
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SIAM Journal on Control and Optimization, 28 (1990), 925-935.
doi: 10.1137/0328051. |
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SIAM Journal on Control, 7 (1969), 232-241.
doi: 10.1137/0307016. |
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John Wiley & Sons, Inc., New York-London-Sydney, 1966. |
[21] |
Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1975. |
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in "Studies in Linear and Non-linear Programming" (eds. K. J. Arrow, L. Hurwicz and H. Uzawa), Stanford University Press, (1958), 38-102. Google Scholar |
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Mathematical Programming Studies, 21 (1984), 110-126.
doi: 10.1007/BFb0121214. |
[24] |
in "Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948" (eds. K. O. Friedrichs, O. E. Neugebauer and J. J. Stoker), Wiley-Interscience New York, (1948), 187-204. |
[25] |
Journal of Optimization Theory and Applications, 81 (1994), 533-548.
doi: 10.1007/BF02193099. |
[26] |
Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1959. |
[27] |
in "Second Berkeley Symposium on Mathematical Statistics and Probability," University of California Press, Berkeley and Los Angeles, (1951), 481-492. |
[28] |
Mathematical Programming, 60 (1993), 339-347.
doi: 10.1007/BF01580618. |
[29] |
Journal of Optimization Theory and Applications, 82 (1994), 59-75.
doi: 10.1007/BF02191779. |
[30] |
Mathematical Programming, 126 (2011), 365-392.
doi: 10.1007/s10107-009-0288-3. |
[31] |
$3^{rd}$ edition, International Series in Operations Research & Management Science, 116, Springer, 2008. |
[32] |
Journal of Industrial and Management Optimization, 8 (2012), 705-726.
doi: 10.3934/jimo.2012.8.705. |
[33] |
McGraw-Hill Book Company, Inc., New York-London-Sydney, 1969. |
[34] |
Journal of Mathematical Analysis and Applications, 17 (1967), 37-47.
doi: 10.1016/0022-247X(67)90163-1. |
[35] |
Mathematical Programming, 47 (1990), 389-405.
doi: 10.1007/BF01580871. |
[36] |
Optimization, 60 (2011), 429-440.
doi: 10.1080/02331930902971377. |
[37] |
Optimization Methods and Software, 19 (2004), 493-506.
doi: 10.1080/10556780410001709420. |
[38] |
SIAM Review, 15 (1973), 639-654.
doi: 10.1137/1015075. |
[39] |
SIAM Journal on Optimization, 10 (2000), 963-981.
doi: 10.1137/S1052623497326629. |
[40] |
Mathematische Annalen, 184 (1970), 133-154.
doi: 10.1007/BF01350314. |
[41] |
Lectures given at the Johns Hopkins University, Baltimore, Md., June, 1973, Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 16, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1974.
doi: 10.1137/1.9781611970524. |
[42] |
SIAM Review, 35 (1993), 183-238.
doi: 10.1137/1035044. |
[43] |
Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 317, Springer-Verlag, Berlin, 1998.
doi: 10.1007/978-3-642-02431-3. |
[44] |
Cowles Foundation Discussion Paper No. 80, Cowles Foundation for Research in Economics, Yale University, 1950. Google Scholar |
[45] |
in "Wiley Encyclopedia of Operations Research and Management Science," John Wiley & Sons, Inc., 2010.
doi: 10.1002/9780470400531.eorms0978. |
[46] |
Journal of Optimization Theory and Applications, 121 (2004), 647-671.
doi: 10.1023/B:JOTA.0000037607.48762.45. |
[47] |
SIAM Journal on Applied Mathematics, 15 (1967), 284-293.
doi: 10.1137/0115028. |
[48] |
Prentice-Hall International Series in Management, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1969. |
show all references
References:
[1] |
in "Nonlinear Programming" (ed. J. Abadie), North-Holland Pub. Co., (1967), 19-36. |
[2] |
Mathematical Programming, 135 (2012), 255-273.
doi: 10.1007/s10107-011-0456-0. |
[3] |
Journal of Optimization Theory and Applications, 125 (2005), 473-483.
doi: 10.1007/s10957-004-1861-9. |
[4] |
Naval Research Logistics Quarterly, 8 (1961), 175-191.
doi: 10.1002/nav.3800080206. |
[5] |
Management Science, 18 (1972), 567-573.
doi: 10.1287/mnsc.18.9.567. |
[6] |
$3^{rd}$ edition, Wiley-Interscience, Hoboken, NJ, 2006.
doi: 10.1002/0471787779. |
[7] |
$2^{nd}$ edition, Athena Scientific, 1999. |
[8] |
Athena Scientific, Belmont, MA, 2003. |
[9] |
Journal of Optimization Theory and Applications, 114 (2002), 287-343.
doi: 10.1023/A:1016083601322. |
[10] |
Mathematical Programming, 35 (1986), 83-96.
doi: 10.1007/BF01589443. |
[11] |
SIAM Journal on Control, 4 (1966), 528-547.
doi: 10.1137/0304041. |
[12] |
RAND Memorandum RM-3858-PR, RAND Corporation, 1963. Google Scholar |
[13] |
Princeton University Press, Princeton, 1953. Google Scholar |
[14] |
McGraw-Hill Book Company, Inc., New York-Toronto-London, 1960. |
[15] |
Optimization, 25 (1992), 11-23.
doi: 10.1080/02331939208843804. |
[16] |
SIAM Journal on Applied Mathematics, 20 (1971), 164-172.
doi: 10.1137/0120021. |
[17] |
Mathematical Programming, 2 (1972), 1-18.
doi: 10.1007/BF01584534. |
[18] |
SIAM Journal on Control and Optimization, 28 (1990), 925-935.
doi: 10.1137/0328051. |
[19] |
SIAM Journal on Control, 7 (1969), 232-241.
doi: 10.1137/0307016. |
[20] |
John Wiley & Sons, Inc., New York-London-Sydney, 1966. |
[21] |
Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1975. |
[22] |
in "Studies in Linear and Non-linear Programming" (eds. K. J. Arrow, L. Hurwicz and H. Uzawa), Stanford University Press, (1958), 38-102. Google Scholar |
[23] |
Mathematical Programming Studies, 21 (1984), 110-126.
doi: 10.1007/BFb0121214. |
[24] |
in "Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948" (eds. K. O. Friedrichs, O. E. Neugebauer and J. J. Stoker), Wiley-Interscience New York, (1948), 187-204. |
[25] |
Journal of Optimization Theory and Applications, 81 (1994), 533-548.
doi: 10.1007/BF02193099. |
[26] |
Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1959. |
[27] |
in "Second Berkeley Symposium on Mathematical Statistics and Probability," University of California Press, Berkeley and Los Angeles, (1951), 481-492. |
[28] |
Mathematical Programming, 60 (1993), 339-347.
doi: 10.1007/BF01580618. |
[29] |
Journal of Optimization Theory and Applications, 82 (1994), 59-75.
doi: 10.1007/BF02191779. |
[30] |
Mathematical Programming, 126 (2011), 365-392.
doi: 10.1007/s10107-009-0288-3. |
[31] |
$3^{rd}$ edition, International Series in Operations Research & Management Science, 116, Springer, 2008. |
[32] |
Journal of Industrial and Management Optimization, 8 (2012), 705-726.
doi: 10.3934/jimo.2012.8.705. |
[33] |
McGraw-Hill Book Company, Inc., New York-London-Sydney, 1969. |
[34] |
Journal of Mathematical Analysis and Applications, 17 (1967), 37-47.
doi: 10.1016/0022-247X(67)90163-1. |
[35] |
Mathematical Programming, 47 (1990), 389-405.
doi: 10.1007/BF01580871. |
[36] |
Optimization, 60 (2011), 429-440.
doi: 10.1080/02331930902971377. |
[37] |
Optimization Methods and Software, 19 (2004), 493-506.
doi: 10.1080/10556780410001709420. |
[38] |
SIAM Review, 15 (1973), 639-654.
doi: 10.1137/1015075. |
[39] |
SIAM Journal on Optimization, 10 (2000), 963-981.
doi: 10.1137/S1052623497326629. |
[40] |
Mathematische Annalen, 184 (1970), 133-154.
doi: 10.1007/BF01350314. |
[41] |
Lectures given at the Johns Hopkins University, Baltimore, Md., June, 1973, Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 16, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1974.
doi: 10.1137/1.9781611970524. |
[42] |
SIAM Review, 35 (1993), 183-238.
doi: 10.1137/1035044. |
[43] |
Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 317, Springer-Verlag, Berlin, 1998.
doi: 10.1007/978-3-642-02431-3. |
[44] |
Cowles Foundation Discussion Paper No. 80, Cowles Foundation for Research in Economics, Yale University, 1950. Google Scholar |
[45] |
in "Wiley Encyclopedia of Operations Research and Management Science," John Wiley & Sons, Inc., 2010.
doi: 10.1002/9780470400531.eorms0978. |
[46] |
Journal of Optimization Theory and Applications, 121 (2004), 647-671.
doi: 10.1023/B:JOTA.0000037607.48762.45. |
[47] |
SIAM Journal on Applied Mathematics, 15 (1967), 284-293.
doi: 10.1137/0115028. |
[48] |
Prentice-Hall International Series in Management, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1969. |
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