Fleet-sizing and service availability for a vehicle rental system via closed queueing networks

European Journal of Operational Research

Volumn 211, Issue 1, 2011, Pages 198-207

  George, David K ^a   Xia, Cathy H ^a  

^a Ohio State University   (United States)

Author keywords

Availability; Fleet sizing; Queueing networks; Transportation; Vehicle rental systems

Indexed keywords

ANALYTICAL RESULTS; ASYMPTOTIC BEHAVIORS; BASIC PRINCIPLES; CAR SHARING SYSTEM; CLOSED QUEUEING NETWORK; EXACT SOLUTION; FLEET SIZES; FLEET-SIZING; NUMERICAL RESULTS; OPTIMIZATION PROBLEMS; REAL-WORLD SYSTEM; RENTAL COMPANIES; SERVICE AVAILABILITY; SOLUTION METHODS;

NUMERICAL METHODS; OPTIMIZATION; PROFITABILITY; QUEUEING NETWORKS; QUEUEING THEORY; VEHICLES;

FLEET OPERATIONS;

EID: 79551488743     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2010.12.015     Document Type: Article

References (37)

1. D. Adelman Price-directed control of a closed logistics queueing network Operations Research 55 6 2007 1022 1038
2. E. Altman, T. Jimenez, and G. Koole On optimal call admission control in a resource-sharing system IEEE Transactions on Communications 49 2001 1659 1668
3. Bard, Y. 1979. Approximate solutions of queueing network models of computer systems. Ph.D Dissertation, Computer Science Department, Purdue University.
4. C. Barnhart, and G. Laporte Handbooks in Operations Research and Management Science Transportation vol. 14 2007 North-Holland Amsterdam pp. 285-362
5. F. Baskett, K.M. Chandy, R.R. Muntz, and F. Palacios-Gomez Open, closed, and mixed networks of queues with different classes of customers Journal of the Association for Computing Machinery 22 1975 248 260
6. G. Beaujon, and M. Turnquist A model for fleet sizing and vehicle allocation Transportation Science 25 1991 19 45
7. J.P. Buzen Computational algorithms for closed queueing networks with exponential servers Communications of the ACM 16 1973 527 531
8. K.M. Chandy, and C.H. Sauer Computational algorithms for product form queueing networks Communications of the ACM 23 1980 573 583
9. T. Crainic, and G. Laporte Fleet Management and Logisitics 1998 Kluwer Academic Publishers. Boston
10. G. Dantzig, and D. Fulkerson Minimizing the number of tankers to meet a fixed schedule Naval Research Logistics Quarterly 1 1954 217 222
11. J.X. Dong, and D.P. Song Container fleet sizing and empty repositioning in liner shipping systems Transportation Research Part E 45 2009 860 877
12. Y. Du, and R. Hall Fleet sizing and empty equipment redistribution for center-terminal transportation networks Management Science 43 1997 145 157
13. L. Frantzeskakis, and W. Powell A successive linear approximation procedure for stochastic, dynamic vehicle allocation problems Transportation Science 24 1990 40 57
14. G. Godfrey, and W. Powell An adaptive dynamic programming algorithm for dynamic fleet management: Single period travel times Transportation Science 36 2002 21 39 (Pubitemid 34268731)
15. G. Godfrey, and W. Powell An adaptive dynamic programming algorithm for dynamic fleet management: Multiperiod travel times Transportation Science 36 2002 40 54 (Pubitemid 34268732)
16. R. Hall, and H.S. Zhong Decentralized inventory control policies for equipment management in a many-to-many network Transportation Research Part A 36 2002 849 865
17. W. Jordan, and M. Turnquist A stochastic network model for railroad car distribution Transportation Science 17 1983 123 145
18. P. Kochel, S. Kunze, and U. Nielander Optimal control of a distributed service system with moving resources: Application to the fleet sizing and allocation problem International Journal of Production Economics 81-82 2003 443 459
19. E. Koenigsberg, and R. Lam Cyclic queue models of fleet operations Operations Research 24 1976 516 529
20. Stephen S. Lavenberg Computer Performance Modeling Handbook 1983 Academic Press
21. Muntz, R.R.; Wong, J.W.; 1974. Asymptotic properties of closed queueing network models.In: 8th Annual Princeton Conference on Information Sciences and Systems, pp. 348-352.
22. S. Parikh On a fleet sizing and allocation problem Management Science 23 1977 972 977
23. W. Powell, and T. Carvalho Dynamic control of logistics queueing networks for large-scale fleet management Transportation Science 32 1998 90 109
24. W. Powell, T. Carvalho, G. Godfrey, and H. Simao Dynamic fleet management as a logistics queueing network Annals of Operations Research 61 1995 165 188
25. M. Reiser, and S.S. Lavenberg Mean-value analysis of closed multichain queueing networks Journal of the Association for Computing Machinery 27 1975 313 322
26. S. Savin, M. Cohen, N. Gans, and Z. Katala Capacity management in rental businesses with two customer bases Operations Research 53 2005 617 631
27. H.R. Sayarshad, and K. Ghoseiri A simulated annealing approach for the multi-periodic rail-car fleet sizing problem Computers and Operations Research 36 2009 1789 1799
28. H.R. Sayarshad, and T. Marler A new multi-objective optimization formulation for rail-car fleet sizing problems Operational Research: An International Journal 10 2010 175 198
29. H.R. Sayarshad, and R. Tavakkoli-Moghaddam Solving a multi periodic stochastic model of the rail-car fleet sizing by two-stage formulation Applied Mathematical Modelling 34 5 2010 1164 1174
30. H.R. Sayarshad, N. Javadian, R. Tavakkoli-Moghaddam, and N. Forghani Solving a multi-objective optimization formulation for fleet planning in a railway industry Annals of Operations Research 2010
31. Schweitzer, P.; 1979. Approximate analysis of multiclass closed networks of queues. In: International Conference Stochastic Control and Optimization, Amsterdam.
32. J.G. Shanthikumar, and D.D. Yao Second-order properties of the throughput in a closed queueing network Mathematics of Operations Research 13 3 1988 524 534
33. D.P. Song, and J. Carter Optimal empty vehicle redistribution for hub-and-spoke transportation systems Naval Research Logistics 55 2008 156 171
34. D.P. Song, and C.F. Earl Optimal empty vehicle repositioning and fleet-sizing for two-depot service systems European Journal of Operational Research 185 2008 760 777
35. H. Topaloglu, and W. Powell Dynamic programming approximations for stochastic time-staged integer multicommodity-flow problems INFORMS Journal on Computing 18 2006 31 42
36. Vélib.; 2010. http://www.velib.paris.fr.
37. W. White, and A. Bomberault A network algorithm for empty freight car allocation IBM Systems Journal 8 1969 147 171