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Optimal fleet composition via dynamic programming and golden section search
1. | Department of Mathematics and Statistics, Curtin University, GPO Box U1987 Perth, Western Australia 6845, Australia, Australia |
References:
[1] |
M. S. Bazaraa, H. D. Sherali and C. M. Shetty, "Nonlinear Programming: Theory and Algorithms," 3rd edition,, Wiley-Interscience [John Wiley & Sons], (2006).
|
[2] |
R. Bellman, "Dynamic Programming,", Dover Publications, (2003).
|
[3] |
J. Couillard, A decision support system for vehicle fleet planning,, Decision Support Systems, 9 (1993), 149.
doi: 10.1016/0167-9236(93)90009-R. |
[4] |
G. Ghiani, G. Laporte and R. Musmanno, "Introduction to Logistics Systems Planning and Control,", John Wiley, (2004). Google Scholar |
[5] |
A. Hoff, H. Andersson, M. Christiansen, G. Hasle and A. Løkketangen, Industrial aspects and literature survey: Fleet composition and routing,, Computers & Operations Research, 37 (2010), 2041.
doi: 10.1016/j.cor.2010.03.015. |
[6] |
A. Imai and F. Rivera, Strategic fleet size planning for maritime refrigerated containers,, Maritime Policy & Management, 28 (2001), 361.
doi: 10.1080/03088830010020629. |
[7] |
D. Kirby, Is your fleet the right size?,, Operational Research Quarterly, 10 (1959).
doi: 10.1057/jors.1959.25. |
[8] |
M.-Y. Lai, C.-S. Liu and X.-J. Tong, A two-stage hybrid meta-heuristic for pickup and delivery vehicle routing problem with time windows,, Journal of Industrial & Management Optimization, 6 (2010), 435.
doi: 10.3934/jimo.2010.6.435. |
[9] |
D. G. Luenberger and Y. Ye, "Linear and Nonlinear Programming," 3rd edition,, International Series in Operations Research & Management Science, 116 (2008).
|
[10] |
H. L. Royden, "Real Analysis," 3rd edition,, Macmillan Publishing Company, (1988).
|
[11] |
I. F. A. Vis, R. B. M. de Koster and M. W. P. Savelsbergh, Minimum vehicle fleet size under time-window constraints at a container terminal,, Transportation Science, 39 (2005), 249.
doi: 10.1287/trsc.1030.0063. |
show all references
References:
[1] |
M. S. Bazaraa, H. D. Sherali and C. M. Shetty, "Nonlinear Programming: Theory and Algorithms," 3rd edition,, Wiley-Interscience [John Wiley & Sons], (2006).
|
[2] |
R. Bellman, "Dynamic Programming,", Dover Publications, (2003).
|
[3] |
J. Couillard, A decision support system for vehicle fleet planning,, Decision Support Systems, 9 (1993), 149.
doi: 10.1016/0167-9236(93)90009-R. |
[4] |
G. Ghiani, G. Laporte and R. Musmanno, "Introduction to Logistics Systems Planning and Control,", John Wiley, (2004). Google Scholar |
[5] |
A. Hoff, H. Andersson, M. Christiansen, G. Hasle and A. Løkketangen, Industrial aspects and literature survey: Fleet composition and routing,, Computers & Operations Research, 37 (2010), 2041.
doi: 10.1016/j.cor.2010.03.015. |
[6] |
A. Imai and F. Rivera, Strategic fleet size planning for maritime refrigerated containers,, Maritime Policy & Management, 28 (2001), 361.
doi: 10.1080/03088830010020629. |
[7] |
D. Kirby, Is your fleet the right size?,, Operational Research Quarterly, 10 (1959).
doi: 10.1057/jors.1959.25. |
[8] |
M.-Y. Lai, C.-S. Liu and X.-J. Tong, A two-stage hybrid meta-heuristic for pickup and delivery vehicle routing problem with time windows,, Journal of Industrial & Management Optimization, 6 (2010), 435.
doi: 10.3934/jimo.2010.6.435. |
[9] |
D. G. Luenberger and Y. Ye, "Linear and Nonlinear Programming," 3rd edition,, International Series in Operations Research & Management Science, 116 (2008).
|
[10] |
H. L. Royden, "Real Analysis," 3rd edition,, Macmillan Publishing Company, (1988).
|
[11] |
I. F. A. Vis, R. B. M. de Koster and M. W. P. Savelsbergh, Minimum vehicle fleet size under time-window constraints at a container terminal,, Transportation Science, 39 (2005), 249.
doi: 10.1287/trsc.1030.0063. |
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