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Scheduling, timetabling and rostering — A special relationship?

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Practice and Theory of Automated Timetabling (PATAT 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1153))

Abstract

Computer solution of timetabling, scheduling and rostering problems has been addressed in the literature since the 1950's. Early mathematical formulations proved impossible to solve given the limited computer power of the era. However, heuristics, often very specialised, were used for certain problems from a very early date, although the term heuristic was not generally recognised until later; a few guaranteed optimality, some consistently produced good solutions, but most became unwieldy when adjusted to deal with practical situations. In some cases, weaknesses in the heuristics were overcome by appeal to manual intervention. Mathematical approaches to some problems returned to favour, successfully, around 1980. Some of the subsequent developments of these are very powerful in practical situations, but they are no panacea, and metaheuristics are the flavour of the nineties.

This paper explores the relationships between the problem types, and traces the above developments as applied principally in the areas of Vehicle Routeing and Scheduling, Driver Scheduling, Job Shop Scheduling and Personnel Rostering. Parallels are drawn with Class and Examination Timetabling, but these subjects themselves are not examined, as they are covered extensively elsewhere in this volume.

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References

  1. A. Wren (ed.), Computer scheduling of public transport. North-Holland (1981).

    Google Scholar 

  2. J-M. Rousseau (ed.), Computer scheduling of public transport — 2. North-Holland (1985).

    Google Scholar 

  3. J.R. Daduna and A. Wren (eds.), Computer-aided transit scheduling. Springer-Verlag (1988).

    Google Scholar 

  4. M. Desrochers and J-M. Rousseau (eds.), Computer-aided transit scheduling, 2. Springer-Verlag (1992).

    Google Scholar 

  5. J.R. Daduna, I. Branco and J.M.P. Paixao (eds.), Computer-aided transit scheduling, 3. Springer-Verlag (1995).

    Google Scholar 

  6. S. French, Sequencing and scheduling. Ellis Horwood (1982).

    Google Scholar 

  7. M. Carey, A model and strategy for train pathing with choice of lines, platforms and routes. Transp. Research, 28B, 333–353 (1994).

    Google Scholar 

  8. K. Wolfenden and A. Wren, Locomotive scheduling by computer. In Proceedings of the British Joint Computer Conference, IEE Conference publication 19, 31–37 (1966).

    Google Scholar 

  9. A. Wren, Bus scheduling, an interactive computer method. Transportation Planning and Technology, 1, 115–122 (1972).

    Google Scholar 

  10. P.D. Manington and A. Wren, Experiences with a bus scheduling algorithm which saves vehicles. Pre-prints of International Workshop on Urban Passenger Vehicle and Crew Scheduling, Chicago (25 pp.) (1975).

    Google Scholar 

  11. B.M. Smith and A. Wren, VAMPIRES and TASC: two successfully applied bus scheduling programs. In A. Wren (ed.) Computer scheduling of public transport. North-Holland, Amsterdam, 97–124 (1981).

    Google Scholar 

  12. S.M. Johnson, Optimal two-and three-stage production schedules with set-up times included. Nav. Res. Logist. Q., 1, 61–68 (1954).

    Google Scholar 

  13. J.M. Moore, An n-job, one machine sequencing algorithm for minimising the number of late jobs. Mgmt. Sci., 15, 102–109 (1968).

    Google Scholar 

  14. E.L. Lawler, Optimal sequencing of a single machine subject to precedence constraints. Mgmt. Sci., 19, 544–546 (1973).

    Google Scholar 

  15. H. Müller-Merbach, Heuristic methods: structures, applications, omputational experience. In R. Cottle & J. Krarup (eds.) Optimisation Methods for Resource Allocation, English Universities Press, 401–416 (1974).

    Google Scholar 

  16. S. Lin, Computer solution of the travelling salesman problem. Bell System Technical Journal, 44, 2245–2269 (1965).

    Google Scholar 

  17. G.B. Dantzig and J.H. Ramser, The truck dispatching problem. Man. Sci. 6, 80–91 (1959).

    Google Scholar 

  18. G. Clarke and J.W. Wright, Scheduling of vehicles from a central depot to a number of delivery points. Opns. Res. 12, 568–581 (1964).

    Google Scholar 

  19. T.J. Gaskell, Bases for vehicle fleet scheduling, Opl. Res. Q., 18, 281–295 (1967).

    Google Scholar 

  20. N. Christofides and S. Eilon, An algorithm for the vehicle-dispatching problem. Opl. Res. Q., 20, pp. 309–318 (1969).

    Google Scholar 

  21. A. Wren, Applications of computers to transport scheduling in the United Kingdom, chapter 10, pp. 70–75. West Virginia University Engineering Experiment Station Bulletin 91 (1969).

    Google Scholar 

  22. A. Wren and A. Holliday, Computer scheduling of vehicles from one or more depots to a number of delivery points. Opl. Res. Q. 23, 333–344 (1972).

    Google Scholar 

  23. B.C. Gillett and L.R. Miller, A heuristic algorithm for the vehicle dispatch problem. Ops. Res., 22(2), 340–349 (1974).

    Google Scholar 

  24. B.A. Foster and D.M. Ryan, An integer programming approach to the vehicle scheduling problem. Opl. Res. Q. 27, 367–384 (1976).

    Google Scholar 

  25. G. Laporte, The vehicle routing problem: an overview of exact and approximate algorithms. Université de Montréal, Centre de Recherche sur les Transports, Publication 745 (1991).

    Google Scholar 

  26. R.S.K. Kwan, Co-ordination of joint headways. In J.R. Daduna and A. Wren (eds.) Computer-Aided Transit Scheduling. Springer-Verlag, Berlin, 304–314 (1988).

    Google Scholar 

  27. W. Keudel, Computer-aided line design (DIANA) and minimisation of transfer times in networks. In J.R. Daduna and A. Wren (eds.) Computer-Aided Transit Scheduling. Springer-Verlag, Berlin, 315–326 (1988).

    Google Scholar 

  28. R. Günther, Untersuchung planerischer und betrieblicher Maßnahmen zur Verbesserung der Anschlussicherung in städtischen Busnetzen. Schriftenreihe des Instituts für Verkejrsplanung und Verkehrswegebau der Technischen Universität Berlin (1985).

    Google Scholar 

  29. A.J. Cole, The preparation of examination timetables using a small store computer. Computer Journal, 7, 117–121 (1964).

    Google Scholar 

  30. D.C. Wood, A system for computing university examination timetables. Computer Journal, 11, 41–47 (1968).

    Google Scholar 

  31. A.W. Parker, M.E. Parker and L.G. Proll, Constructing timetables for parentteacher interviews — a practical scheduling problem. Preprints of Combinatorial Optimisation 81 (CO81) 122–137 (1981).

    Google Scholar 

  32. B.T. Bennett and R.B. Potts, Rotating roster for a transit system. Transpn. Sci. 2, 14–34 (1968).

    Google Scholar 

  33. W. Townsend, Bus crew rostering by computer. University of Leeds MSc thesis (1985).

    Google Scholar 

  34. B.M. Smith and S. Bennett, Combining constraint satisfaction and local improvement algorithms to construct anaesthetists' rotas. Proc. Conference on Artificial Intelligence Applications (CAIA 92), 106–112 (1992).

    Google Scholar 

  35. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller and E. Teller, Equation of state calculation by fast computing machines. J. of Chem. Phys., 21, 1087–1091 (1953).

    Google Scholar 

  36. S. Kirkpatrick, C.D. Gellatt and M.P. Vecchi, Optimization by simulated annealing. Science, 220, pp. 671–680 (1983).

    Google Scholar 

  37. S. Kirkpatrick and G.B. Sorkin, Simulated annealing. In M. Arbib (ed.), Handbook of brain theory and neural networks. MIT Press (1995).

    Google Scholar 

  38. N.E. Collins, R.W. Eglese and B.L. Golden, Simulated annealing — an annotated bibliography. AJMMS, 8, 209–307 (1988).

    Google Scholar 

  39. J. Thompson and K.A. Dowsland, Variants of simulated annealing for the examination timetabling problem. Annals of Operations Research (1995).

    Google Scholar 

  40. P.M. Ross and D. Corne, Comparing genetic algorithms, stochastic hillclimbing and simulated annealing. In T.C. Fogarty (ed), Evolutionary computing, Springer-Verlag, 94–102 (1995).

    Google Scholar 

  41. I.H. Osman, Metastrategy simulated annealing and tabu search algorithms for the vehicle routing problem. Annals of Operations Research, 41 (1993).

    Google Scholar 

  42. F. Glover, Tabu search — Part 1. ORSA J. Computing, 1, 190–206 (1989).

    Google Scholar 

  43. F. Glover, Tabu search — Part 2. ORSA J. Computing, 2, 4–32 (1990).

    Google Scholar 

  44. F. Glover and M. Laguna, Tabu search. In C.R. Reeves (ed.) Modern heuristic techniques for combinatorial problems. Blackwell Scientific Publications, 70–150 (1993).

    Google Scholar 

  45. D.E. Goldberg, Genetic algorithms in search, optimisation and machine learning. Addison-Wesley (1989).

    Google Scholar 

  46. L. Davis, Handbook of genetic algorithms. Van Nostrand Reinhold (1991).

    Google Scholar 

  47. Z. Michalewicz, Genetic algorithms + data structures=evolution programs, second, extended edition. Springer-Verlag (1994).

    Google Scholar 

  48. H-L Fang, P.M. Ross and D. Corne, A promising genetic algorithm approach to job-shop scheduling, rescheduling and open-shop scheduling problems. In S. Forrest (ed.) Proc. 5th International Conference on Genetic Algorithms. Morgan Kaufmann, 375–382 (1993).

    Google Scholar 

  49. A. Wren and D.O. Wren, A genetic algorithm for public transport driver scheduling. Computers Ops Res. 22, 101–110 (1995).

    Google Scholar 

  50. R.S.K. Kwan and A. Wren, Hybrid algorithms for bus driver scheduling. To appear in L. Bianco and P. Toth (eds.) Advanced methods in transportation analysis, Springer-Verlag (1996).

    Google Scholar 

  51. M. Dorigo, V. Maniezo and A. Colorni, The ant system: optimization by a colony of cooperating agents. IEEE Transactions on Systems, Man, and Cybernetics Part B, 26, pp. 1–13 (1996).

    Google Scholar 

  52. K. Wolfenden and A. Wren, Locomotive scheduling by computer. Proc. British Joint Computer Conference. IEE Conference Publication 19, 31–37 (1966).

    Google Scholar 

  53. H.I. Stern and A. Ceder, An improved lower bound to the minimum fleet size problem. Transpn. Sci. 17, 471–477 (1983).

    Google Scholar 

  54. A. Wren, Computers in Transport Planning and Operation. Ian Allen, London, 103–106 (1971).

    Google Scholar 

  55. A. Wren, Bus scheduling, an interactive computer method. Transportation Planning and Technology, 1, 115–122 (1972).

    Google Scholar 

  56. P.D. Manington and A. Wren, Experiences with a bus scheduliong algorithm which saves vehicles. Preprints of International Workshop on Urban Passenger Vehicle and Crew Scheduling, Chicago (25 pp) (1975).

    Google Scholar 

  57. B.M. Smith and A. Wren, VAMPIRES and TASC: two successfully applied bus scheduling programs. In A. Wren (ed.) Computer scheduling of public transport. North-Holland, Amsterdam, 97–124 (1981).

    Google Scholar 

  58. B. Manington and A. Wren, A general computer method for bus crew scheduling. Pre-prints of International Workshop on Urban Passenger Vehicle and Crew Scheduling, Chicago (49 pp) (1975).

    Google Scholar 

  59. M.E. Parker and B.M. Smith, Two approaches to computer crew scheduling. In A. Wren (ed.) Computer Scheduling of Public Transport. North-Holland, Amsterdam, 193–222 (1981).

    Google Scholar 

  60. S.E.G. Elias, The use of digital computers in the economic scheduling for both man and machine in public transportation. Kansas State University Bulletin, Special Report 49 (1964).

    Google Scholar 

  61. A. Wren, General review of the use of computers in scheduling buses and their crews. In A. Wren (ed.) Computer Scheduling of Public Transport. North-Holland, Amsterdam, 3–17 (1981).

    Google Scholar 

  62. A. Wren and J-M. Rousseau, Bus driver scheduling — an overview. In J.R. Daduna, I. Branco and J.M.P. Paixao (eds.) Computer aided transit scheduling — 3, Springer-Verlag, Berlin, 173–187 (1995).

    Google Scholar 

  63. B.M. Smith and A. Wren, A bus crew scheduling system using a set covering formulation. Transpn. Res. 22A, 97–108 (1988).

    Google Scholar 

  64. A. Wren and B.M. Smith, Experiences with a crew scheduling system based on set covering. In J.R. Daduna and A. Wren (eds.) Computer-aided transit scheduling. Springer-Verlag, Berlin, 104–118 (1988).

    Google Scholar 

  65. B.M. Smith, IMPACS — a bus crew scheduling system using linear programming. Math Prog. 42, 181–187 (1988).

    Google Scholar 

  66. B.M. Smith, Bus crew scheduling using mathematical programming. University of Leeds PhD thesis (1986).

    Google Scholar 

  67. J-M. Rousseau and J-Y Blais, HASTUS: an interactive system for buses and crew scheduling. In J-M Rousseau (ed.) Computer Scheduling of Public Transport — 2. North-Holland, Amsterdam, 45–60 (1985).

    Google Scholar 

  68. J.R. Daduna and M. Mojsilovic, Computer-aided vehicle and duty scheduling using the HOT programme system. In J.R. Daduna and A. Wren (eds.) Computer-Aided Transit Scheduling. Springer-Verlag, Berlin, 133–146 (1988).

    Google Scholar 

  69. A. Wren, R.S.K. Kwan and M.E. Parker, Scheduling of rail driver duties. In T.K.S. Murthy et al. (eds.) Computers in railways IV — Volume 2, Railway Operations, 81–89 (1994).

    Google Scholar 

  70. M.E. Parker, A. Wren and R.S.K. Kwan, Modelling the scheduling of train drivers. In J.R. Daduna, I. Branco and J.M.P. Paixao (eds.) Computer aided transit scheduling — 3, Springer-Verlag, Berlin, 359–370 (1995).

    Google Scholar 

  71. R.P. Clement and A. Wren, Greedy genetic algorithms, optimizing mutations and bus driver scheduling. In J.R. Daduna, I. Branco and J.M.P. Paixao (eds.) Computer aided transit scheduling — 3, Springer-Verlag, 213–235 (1995).

    Google Scholar 

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Authors and Affiliations

  1. School of Computer Studies, University of Leeds, LS2 9JT, Leeds

    Anthony Wren (Professor of Scheduling and Constraint Management)

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  1. Anthony Wren
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Edmund Burke Peter Ross

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Wren, A. (1996). Scheduling, timetabling and rostering — A special relationship?. In: Burke, E., Ross, P. (eds) Practice and Theory of Automated Timetabling. PATAT 1995. Lecture Notes in Computer Science, vol 1153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61794-9_51

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  • DOI: https://doi.org/10.1007/3-540-61794-9_51

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  • Print ISBN: 978-3-540-61794-5

  • Online ISBN: 978-3-540-70682-3

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