Professor Paul Williams was born in Cornwall, and still spends a lot of time there. After attending the local Grammar school he studied Mathematics at Cambridge followed by a PhD in Mathematical Logic at Leicester University under the late Professor R.L.Goodstein.
His first job was with IBM where he worked on Linear and Integer Programming and gained a lasting interest in these subjects. He realised that a lot about them, particularly methods of modelling, were not properly understood and he did a lot of the early work on developing modelling as a subject, as well as making contributions to the algorithmic and computational side. He then held a number of academic jobs, as a lecturer at Sussex University, Professor at Edinburgh, Southampton (Dean and Head of Department) Universities before joining 杏吧论坛 where he has served as Head of the Department of Operational Research (currently the Management Science Group).
Most of his research has been in Linear and Integer Programming, where he has further developed modelling methods, new algorithms and economic interpretations as well as many practical implementations. He has paid extended academic visits to many universities in the USA, Australia , Europe, Hong Kong and Singapore. For many years he also held a visiting Chair at Universiy College Dublin.
In retirement he continues to be very active in research, in particular working on the development of an economically meaningful dual of an Integer Programme and using Mathematical Programming to clarify the dichotomy between equity and utilitarianism in resource allocation. He also consults in helping organisations to formulate and solve their problems as mathematical models.
For a full list of Professor Williams' publications on 杏吧论坛 Research Online, , otherwise see below.
Publications:
Books
Williams, H. Paul (2016) Godrevy Press. ISBN 9781533177964
Williams, H. Paul (2013) John Wiley & Sons. ISBN 9781118443330
Williams, H. Paul (2009) International series in operations research & management science. Springer Berlin / Heidelberg, London, UK. ISBN 9780387922799
Williams, H. Paul (1999) John Wiley & Sons, Chichester. ISBN 9780471997887
Williams, H. Paul (1993) John Wiley & Sons, Chichester, UK. ISBN 9780471935810
Articles
Williams, H. Paul (2017) Journal of the Operational Research Society, 68 (7). pp. 829-833. ISSN 0160-5682
Williams, H. Paul and Hooker, J. N. (2016) Discrete Optimization, 22 (B). pp. 291-311. ISSN 1572-5286
Williams, H. Paul (2015) Journal of the Operational Research Society, 67 (3). pp. 450-456. ISSN 0160-5682
Hooker, J. N. and Williams, H. Paul (2012) Management Science, 58 (9). pp. 1682-1693. ISSN 0025-1909
Williams, H. Paul (2011) IMA Journal of Management Mathematics, 22 (3). pp. 213-230. ISSN 1471-6798
Williams, H. Paul (2007) Journal of the Royal Institution of Cornwall. pp. 70-75. ISSN 0968-5396
Appa, Gautam and Williams, H. Paul (2006) European Journal of Operational Research, 172 (2). pp. 604-615. ISSN 0377-2217
Williams, H. Paul and Butler, Martin (2006) European Journal of Operational Research, 170 (2). pp. 391-397. ISSN 0377-2217
Williams, H. Paul (2005) Journal of the Operational Research Society, 56 (12). pp. 1349-1350. ISSN 0160-5682
Butler, Martin and Williams, H. Paul (2002) Journal of the Operational Research Society, 53 (12). pp. 1324-1329. ISSN 0160-5682
Williams, H. Paul and Yan, Hong (2001) Informs Journal on Computing, 13 (2). pp. 96-103. ISSN 1091-9856
Williams, H. Paul (2000) Journal of Global Optimization, 18 (2). pp. 129-141. ISSN 0925-5001
Williams, H. Paul and Munford, A. G. (1999) Journal of Statistical Computation and Simulation, 63 (2). pp. 121-141. ISSN 0094-9655
Williams, H. Paul and Wilson, John M. (1998) Informs Journal on Computing, 10 (3). pp. 261-264. ISSN 1091-9856
Williams, H. Paul (1997) European Journal of Operational Research, 100 (3). pp. 623-628. ISSN 0377-2217
Williams, H. Paul (1997) IMA Journal of Mathematics Applied in Business and Industry, 8 (3). pp. 203-213. ISSN 0953-0061
Williams, H. Paul and Kirby, D. (1997) Journal of Combinatorial Mathematics and Combinatorial Computing, 23. pp. 87-95. ISSN 0835-3026
Butler, Martin, Williams, H. Paul and Yarrow, Leslie-Ann (1997) Computational Optimization and Applications, 7 (3). pp. 291-306. ISSN 0926-6003
Brailsford, S. C., Hubbard, P. M., Smith, B. M. and Williams, H. Paul (1996) Computers and Operations Research, 23 (9). pp. 845-856. ISSN 0305-0548
Williams, H. Paul (1996) Journal of Optimization Theory and Applications, 90 (2). pp. 257-278. ISSN 0022-3239
Williams, H. Paul (1996) Computational Optimization and Applications, 6 (1). pp. 15-26. ISSN 0926-6003
Williams, H. Paul (1996) Bulletin of the London Mathematical Society, 28 (3). pp. 311-316. ISSN 0024-6093
Williams, H. Paul (1996) Obituary of Professor Steven Vajda. Times (03 Jan 1996).
Williams, H. Paul (1995) European Journal of Operational Research, 81 (3). pp. 605-616. ISSN 0377-2217
Williams, H. Paul (1995) . Mathematical Intelligencer, 17 (1). 34, 64. ISSN 0343-6993
Rhodes, Frank and Williams, H. Paul (1995) . Mathematical Proceedings of the Cambridge Philosophical Society, 117 (03). pp. 559-574. ISSN 0305-0041
Williams, H. Paul (1994) . European Journal of Operational Research, 72 (1). pp. 200-203. ISSN 0377-2217
Williams, H. Paul (1993) Mathematics Review, 3. pp. 2-5. ISSN 0957-1280
Williams, H. Paul (1992) . Mathematical Medley, 20 (1). pp. 59-67. ISSN 0217-2976
Williams, H. Paul (1992) . Journal of the Operational Research Society, 43 (5). pp. 387-393. ISSN 0160-5682
Baston, V. J. D., Rahmouni, M. K. and Williams, H. Paul (1991) European Journal of Operational Research, 50 (3). pp. 325-334. ISSN 0377-2217
Williams, H. Paul (1990) IMA Journal of Mathematics Applied in Business and Industry, 2. pp. 189-195. ISSN 0953-0061
Williams, H. Paul (1990) Bulletin of the Institute of Mathematics and Its Applications, 26. pp. 76-85. ISSN 0950-5628
McKinnon, K. I. M. and Williams, H. Paul (1989) Annals of Operations Research, 21. pp. 227-245. ISSN 0254-5330
Williams, H. Paul (1987) Journal of Mathematical Biology, 25 (4). pp. 393-409. ISSN 0303-6812
Williams, H. Paul (1987) Systems Research and Information Science, 2. pp. 81-100. ISSN 0882-3014
Williams, H. Paul (1986) American Mathematical Monthly, 93 (9). pp. 681-695. ISSN 0002-9890
Day, R. E. and Williams, H. Paul (1986) IMA Journal of Management Mathematics, 1 (1). pp. 53-65. ISSN 1471-678X
Williams, H. Paul (1984) Discrete Applied Mathematics, 7 (1). pp. 93-103. ISSN 0166-218X
Williams, H. Paul (1984) Computers and Operations Research, 11 (4). pp. 401-407. ISSN 0305-0548
Cheshire, M., McKinnon, K. I. M. and Williams, H. Paul (1984) Journal of the Operational Research Society, 35 (8). pp. 705-709. ISSN 0160-5682
Williams, H. Paul (1983) Discrete Applied Mathematics, 5 (1). pp. 147-155. ISSN 0166-218X
Williams, H. Paul (1982) Journal of the Operational Research Society, 33 (2). pp. 161-169. ISSN 0160-5682
Williams, H. Paul (1981) Applied Economics, 13 (1). pp. 89-98. ISSN 0003-6846
Williams, H. Paul (1981) Bulletin of the Institute of Mathematics and Its Applications, 17. pp. 51-52. ISSN 0950-5628
Williams, H. Paul and Thomas, P. G. (1980) IUCC Bulletin, 2. ISSN 0142-2464
Williams, H. Paul (1979) Omega, 7 (2). pp. 163-165. ISSN 0305-0483
Williams, H. Paul (1978) Mathematical Programming, 14 (1). pp. 325-331. ISSN 0025-5610
Williams, H. Paul (1977) Bulletin of the Institute of Mathematics and Its Applications, 13. pp. 18-20. ISSN 0950-5628
Williams, H. Paul (1976) Journal of Combinatorial Theory, Series A, 21 (1). pp. 118-123. ISSN 0097-3165
Brearley, A. L., Mitra, G. and Williams, H. Paul (1975) Mathematical Programming, 8 (1). pp. 54-83. ISSN 0025-5610
Williams, H. Paul (1975) Omega, 3 (5). pp. 551-556. ISSN 0305-0483
Williams, H. Paul and Redwood, A. C. (1974) Operational Research Quarterly, 25 (4). pp. 517-527. ISSN 0030-3623
Williams, H. Paul (1974) ACM Sigmap Bulletin, 16. pp. 35-41. ISSN 0163-5786
Williams, H. Paul (1969) Notre Dame Journal of Formal Logic, 10 (1). pp. 77-89. ISSN 0029-4527
Williams, H. Paul (1968) Computer Journal, 11 (2). pp. 173-176. ISSN 0010-4620
Book Sections
Orman, A. J. and Williams, H. Paul (2006) In: Kontoghiorghes, Erricos John and Gatu, Cristian, (eds.) Optimisation, Econometric and Financial Analysis. Advances in computational management science (9). Springer Berlin / Heidelberg, Berlin, Germany, pp. 93-108. ISBN 9783540366256
Williams, H. Paul (1998) In: OR Keynote Papers 1998. Operational Research Society (Great Britain), Birmingham, UK.
Williams, H. Paul and Brailsford, S. C. (1996) In: Beasley, J. E., (ed.) Advances in Linear and Integer Programming. Oxford lecture series in mathematics and its applications (4). Oxford University Press, Oxford, UK, pp. 249-281. ISBN 9780198538561
Smith, Barbara M., Brailsford, Sally C., Hubbard, Peter M. and Williams, H. Paul (1995) In: Montanari, Ugo and Rossi, Francesca, (eds.) Principles and Practice of Constraint Programming: Proceedings of First International Conference, Cp '95, Cassis, France, Septem. Lecture notes in computer science (976). Springer Berlin / Heidelberg, Berlin, Germany, pp. 36-52. ISBN 9783540602996
Williams, H. Paul (1994) In: Ciriani, T. and Leachman, R., (eds.) Optimisation in Industry. John Wiley & Sons, Chichester, UK, pp. 25-32.
Williams, H. Paul (1989) In: Shahani, Arjan K. and Stainton, Roy, (eds.) Tutorial Papers in Operational Research. Operational Research Society (Great Britain), Birmingham, UK, pp. 41-56.
Williams, H. Paul (1987) In: Thomas, L. C., (ed.) Recent Developments in Operational Research. Pergamon Press (Oxford, England), Oxford, UK, pp. 33-44.
Williams, H. Paul (1985) In: Schittkowski, K., (ed.) Proceedings of Nato Advanced Study Institute on Mathematical Programming. Springer Berlin / Heidelberg, Berlin, Germany, pp. 25-35.
Williams, H. Paul (1983) In: Karwan, M. H., Lotfi, V., Telgen, J. and Zionts, S., (eds.) Redundancy in Mathematical Programming: a State-Of-The-Art Survey. Lecture notes in economics and mathematical systems (206). Springer Berlin / Heidelberg, Berlin, Germany, pp. 87-107. ISBN 0387115528
Williams, H. Paul (1980) In: Lederman, Walter and Vajda, Steven, (eds.) Handbook of Applicable Mathematics: Vol. 1, Algebra. John Wiley & Sons, Chichester, UK, pp. 339-390. ISBN 0471277045
Williams, H. Paul (1979) In: Prékopa, A., (ed.) Survey of Mathematical Programming : Proceedings of the 9th International Mathematical Programming Symposium, Budapest, August 2. North-Holland, Amsterdam, The Netherlands, pp. 567-586. ISBN 0444850333
Williams, H. Paul (1974) In: Balinski, M. L., (ed.) Approaches to Integer Programming. Mathematical Programming Studies. Springer Berlin / Heidelberg, 180 - 197.
Monographs
Williams, H. Paul and Hooker, J. N. (2014) Working Paper (杏吧论坛OR 13.143). Management Science Group, Department of Management, The London School of Economics and Political Science, London, UK.
Williams, H. Paul (2013) Working paper (杏吧论坛OR 13.139). Management Science Group, Department of Management, The London School of Economics and Political Science, London, UK.
Williams, H. Paul (2013) Working paper (杏吧论坛OR 13.138). London School of Economics and Political Science, London, UK.
Williams, H. Paul (2013) Working paper (杏吧论坛OR 13.140). Management Science Group, Department of Management, The London School of Economics and Political Science, London, UK.
Williams, H. Paul (2010) Operational Research working papers (杏吧论坛OR 10.119). London School of Economics and Political Science, London, UK.
Yan, Hong and Williams, H. Paul (2007) Operational Research working papers (杏吧论坛OR 07.97). Operational Research Group, London School of Economics and Political Science, London, UK. ISBN 9780853280538
Williams, H. Paul (2007) Operational Research working papers (杏吧论坛OR 07.96). Operational Research Group, Department of Management, London School of Economics and Political Science, London, UK. ISBN 9780853280521
Appa, Gautam, Argyris, N. and Williams, H. Paul (2006) Operational Research working papers (杏吧论坛OR 06.81). Operational Research Group, Department of Management, London School of Economics and Political Science, London, UK. ISBN 0753017032
Appa, Gautam and Williams, H. Paul (2002) Operational Research working papers (杏吧论坛OR 02.49). Department of Operational Research, London School of Economics and Political Science, London, UK.
Williams, H. Paul (1989) Faculty of Mathematical Studies working papers (OR22). Southampton University, Southampton, UK.
Williams, H. Paul (1988) Faculty of Mathematical Studies working papers (OR16). Faculty of Mathematical Studies, University of Southampton, Southampton, UK.
Williams, H. Paul (1987) Faculty of Mathematical Studies working papers (OR9). University of Southampton, Southampton, UK.
Williams, H. Paul (1983) Department of Business Studies working papers (1/83). Department of Business Studies, University of Edinburgh, Edinburgh, UK.
Williams, H. Paul (1973) Research report (73-5). Operational Research Group, University of Sussex, Brighton, UK.
Williams, H. Paul (1973) Research report (73-2). Operational Research Group, University of Sussex, Brighton, UK.
Williams, H. Paul (1970) IBM working papers. IBM, UK.
Conference or Workshop Items
Williams, H. Paul (1998) In: 16th EURO Conference on Operational Analysis, 1998-07-01, Brussels, Belgium, BEL. (Submitted)
Williams, H. Paul (1986) In: Inaugural lecture as Professor of Operational Research, 1986-11-01, Southampton, United Kingdom, GBR. (Submitted)
Williams, H. Paul (1978) In: Inaugural lecture as Professor of Management Science, 1978-01-01, Edinburgh, United Kingdom, GBR. (Submitted)
Other
Williams, H. Paul (1976) Open University.