Report/Guide

Forbes, A B; Jagan, K; Smith, I M (2018) MCM2MCMC user manual : software implementing a Markov chain Monte Carlo algorithm for uncertainty evaluation based on the Monte Carlo method of Supplement 1 to the GUM. NPL Report. MS 20

Jagan, K; Forbes, A B (2018) User manual for MCMCMH: software implementing a Metropolis-Hastings algorithm. NPL Report. MS 21

Jagan, K; Forbes, A B (2018) User manual for NLLSMH: Software implementing a Metropolis-Hastings algorithm for non-linear least squares problems. NPL Report. MS 22

Hughes, E B; Ferrucci, M; Forbes, A B (2015) Preliminary investigation into the use of a network-based technique for calibration of 3D laser scanners. NPL Report. ENG 59

Hughes, B; Forbes, A B; Sun, W J (2011) Good practice for deployment and use of iGPS/iSPACE: NIMTech deliverable 3.1(2). NPL Report. ENG 31

Hughes, B; Forbes, A B; Sun, W J (2011) Procedure for calibration of laser tracker alignment errors using a network measurement: NIMTech deliverable 3.1(1). NPL Report. ENG 29

Hughes, B; Forbes, A B; Nasr, K; Sun, W J; Veal, D (2011) Validation of the network method for determination of laser tracker alignment errors: NIMTech deliverable 3.7. NPL Report. ENG 30

Hughes, E B; Forbes, A B; Sun, W; Maropoulos, P*; Muelaner, J*; Jamshidi, J*; Wang, Z* (2010) iGPS capability study. NPL Report. ENG 23

Cox, M G; Forbes, A B; Harris, P M (2007) Discrete modelling.(Software Support for Metrology Best Practice Guide No. 4). Technical Report. NPL, UK, Teddington.

Barker, R M; Cox, M G; Forbes, A B; Harris, P M (2007) Software Support for Metrology Best Practice Guide No. 4. Discrete modelling and experimental data analysis. NPL Report. DEM-ES 018

Cox, M G; Forbes, A B; Harris, P M; Smith, I M (2004) The classification and solution of regression problems for calibration. NPL Report. CMSC 24/03

Boudjemaa, R; Forbes, A B (2004) Parameter estimation methods in data fusion. NPL Report. CMSC 38/04

Boudjemaa, R; Forbes, A B; Harris, P M; Langdell, S* (2003) Multivariate empirical models and their use in metrology. NPL Report. CMSC 32/03

Forbes, A B; Harris, P M; Leach, R K (2003) The comparison of algorithm for the assessment of Type A1 surface texture reference artefacts. NPL Report. CMSC 33/03

Boudjemaa, R; Cox, M G; Forbes, A B; Harris, P M (2003) Automatic differential techniques and their application in metrology. NPL Report. CMSC 26/03

Cox, M G; Forbes, A B; Fossati, P M; Harris, P M; Smith, I M (2003) Techniques for the efficient solution of large scale calibration problems. NPL Report. CMSC 25/03

Esward, T J; Forbes, A B; Mansfield, A J (2003) New directions - future directions in mathematics and scientific computing: recommendations for the Software Support for Metrology programme 2004-2007. NPL Report. CMSC 16/03

Barker, R M; Forbes, A B (2001) Discrete model validation. (Software Support for Metrology Best Practice Guide No. 10). Technical Report. NPL.

Forbes, A B; Harris, P M (2000) Simulated instruments and uncertainty estimation. NPL Report. CMSC 01/00

Forbes, A B (1999) Software support for metrology: Interim status report on the length area. NPL Report. CISE 29/99

Forbes, A B (1999) Geometric tolerance assessment. NPL Report. DITC 210/92

Cox, M G; Forbes, A B (1999) Strategies for testing form assessment software. NPL Report. DITC 211/92

Butler, B P; Cox, M G; Forbes, A B; Harris, P M; Lord, G (1999) Model validation in the context of metrology: a survey. NPL Report. CISE 19/99

Corta, R*; Cox, M G; Cross, N R; Dotson, J R; Flack, D R; Forbes, A B; O'Donnell, J*; Peggs, G N; Prieto, E* (1998) A large reference artefact for CMM verification. NPL Report. CLM 6

Cox, M G; Forbes, A B; Harris, P M; Peggs, G N (1998) Determining CMM behaviour from measurements of standard artefacts. NPL Report. CISE 15/98

Butler, B P; Forbes, A B; Kenward, P D (1998) Position calibration software: Fortran implementation of algorithms to determine frame of reference from measurements of registration points. NPL Report. CISE 14/98

Cox, M G; Cross, N R; Flack, D R; Forbes, A B; Peggs, G N (1997) Measurement of artefacts using repositioning methods. NPL Report. CLM 2

Cox, M G; Forbes, A B; Peggs, G N (1997) CMM verification and grading. NPL Report. CLM 1

Bartholomew-Biggs, M L*; Forbes, A B (1996) A robust search strategy in a Non-linear Least Squares Solver. Technical Report. University of Hertfordshire.

Forbes, A B; Harris, P M (1995) A comparison of methods used for the calculation of effective area in the calibration of pressure balances. NPL Report. CISE 2/95

Butler, B P; Forbes, A B; Harris, P M (1994) Algorithms for geometric tolerance assessment. NPL Report. DITC 228/94

Forbes, A B (1994) Validation of software for dimensional metrology. NPL Report. DITC 225/94

Anthony, G T; Anthony, H M; Bittner, B*; Butler, B P; Cox, M G; Drieschner, R*; Elligsen, R*; Forbes, A B; Grob, H*; Hannaby, S A; Harris, P M; Kok, J* (1993) Chebyshev best-fit geometric elements. NPL Report. DITC 221/93

Anthony, G T; Bittner, B*; Butler, B P; Cox, M G; Drieschner, R*; Elligsen, R*; Forbes, A B; Gross, H*; Hannaby, S A; Harris, P M; Kok, J* (1993) Chebyshev reference software for the evaluation of coordinate measuring machine data. Technical Report. European Communities Commission, Luxembourg.

Forbes, A B (1991) Least-squares best-fit geometric elements. NPL Report. DITC 140/89

Article

Smith, I M; Forbes, A B (2018) Algorithms and software for fitting polynomial functions constrained to pass through the origin. Journal of Physics: Conference Series, 1065. 212022 ISSN 1742-6588

Forbes, A B (2018) Discussion on "Jump regression, image processing and quality control". Quality Engineering, 30 (1). pp. 154-156.

Otrio, G; Forbes, A B; Hughes, B; Peggs, G (2017) Large-scale dimensional measurement in the space environment using multi-lateration techniques. Proceedings of the SPIE, 10569. 1056907

Papananias, M*; Fletcher, S*; Longstaff, A P*; Forbes, A B (2017) Uncertainty evaluation associated with versatile automated gauging influenced by process variations through design of experiments approach. Precision Eng., 49. pp. 440-455.

Schmitt, R H*; Peterek, M*; Morse, E*; Knapp, W*; Hartig, F*; Goch, G*; Hughes, B; Forbes, A B; Estler, W T* (2016) Advances in large-scale metrology - review and future trends. CIRP Ann. - Manuf. Technol., 65 (2). pp. 643-665.

Lau, E T*; Yang, Q*; Taylor, G S*; Forbes, A B; Wright, P S; Livina, V N (2016) Optimisation of costs and carbon savings in relation to the economic dispatch problem as associated with power system operation. Electr. Power Syst. Res., 140. pp. 173-183.

Moschetti, G; Forbes, A B; Leach, R K*; Jiang, X*; O'Connor, D (2016) Phase and fringe order determination in wavelength scanning interferometry. Opt. Express, 24 (8). pp. 8997-9012.

Moschetti, G; Forbes, A B; Leach, R K*; Jiang, X*; O'Connor, D (2016) Quadrature wavelength scanning interferometry. Appl. Opt., 55 (20). pp. 5332-5340.

Kok, G J P*; Harris, P M; Smith, I M; Forbes, A B (2016) Reference data sets for testing metrology software. Metrologia, 53 (4). pp. 1091-1100.

Forbes, A B (2016) A hierarchical model for the analysis of inter-laboratory comparison data. Metrologia, 53 (6). pp. 1295-1305.

Eng Tseng Lau*,; Qingping Yang*,; Forbes, A B; Livina, V N (2015) Application of ensemble Kalmen filter in forecasting the electricity grid carbon factor. Int. J. Elect. Energy, 3 (4). pp. 209-212.

Lau, E T*; Yang, Q*; Stokes, L*; Taylor, G A*; Forbes, A B; Clarkson, P; Wright, P S; Livina, V N (2015) Carbon savings in the UK demand side response programmes. Appl. Energy, 159. pp. 478-489.

Minh, H D; Smith, I M; Forbes, A B (2015) Determination of numerical uncertainty associated with numerical artefacts for validating coordinate metrology software. Advances in Mathematics for Applied Sciences, 86. pp. 273-278.

Forbes, A B (2015) Empirical functions with pre-assigned correlation behaviour. Advances in Mathematics for Applied Sciences, 86. pp. 17-28.

Forbes, A B; Smith, I M; Hartig, F*; Wendt, K* (2015) Overview of EMRP Joint Research Project NEW06 "Traceability for Computationally Intensive Metrology". Advances in Mathematics for Applied Sciences, 86. pp. 164-170.

Silva Ribeiro, A*; Costa Santos, A*; Sousa, J A; Forbes, A B (2015) Quality assessment of vertical angular deviations for photometer calibrations benches. J. Phys.: Conf. Ser., 588. 012002

Livina, V N; Vaz Martins, T M*; Forbes, A B (2015) Tipping point analysis of atmospheric oxygen concentration. Chaos: an Interdisciplinary Journal of Nonlinear Science, 25 (3). 036403

Ribeiro, A S*; Sousa, J A E*; Cox, M G; Forbes, A B; Matias, L C*; Martins, L L* (2015) Uncertainty analysis of thermal comfort parameters. Int. J. Thermophysics, 36 (8). pp. 2124-2149.

Lau, E T*; Yang, Q*; Forbes, A B; Wright, P S; Livina, V N (2014) Modelling carbon emissions in electrical systems. Energy Convers. Manage., 80. pp. 573-581.

Lau, E T*; Yang, Q*; Forbes, A B; Wright, P S; Livina, V N (2014) Modelling carbon emissions in electrical systems. Energy Convers. Manage., 80. pp. 573-581.

Harris, P M; Matthews, C E; Cox, M G; Forbes, A B (2014) Summarising the output of a Monte Carlo method for uncertainty evaluation. Metrologia, 51 (3). pp. 243-252.

Henning, A J; Giusca, C; Forbes, A B; Smith, I; Leach, R K; Coupland, J*; Mandal, R* (2013) Correction for lateral distortion in coherence scanning interferometry. CIRP Ann. - Manuf. Technol., 62. pp. 547-550.

Forbes, A B; Minh, H D (2013) Design of linear calibration experiments. Measurement, 46 (9). pp. 3730-3736.

Cox, M G; Forbes, A B; Harris, P M (2013) Discussion of five examples of assessment and expression of measurement uncertainty by Antonio Possolo. Applied Stochastic Models in Business and Industry, 29 (1). pp. 24-26.

Zhang, X C*; Jiang, X Q*; Forbes, A B; Hoang, M D; Scott, P J* (2013) Evaluating the form errors of spheres, cylinders and cones using the primal-dual interior point method. Proc. Inst. Mech. Eng. B, J. Eng. Manuf., 227 (B5). pp. 720-725.

Sousa, J A*; Forbes, A B; Ribeiro, A S*; Harris, P M; Carvalho, F*; Bacelar, L* (2013) The evaluation of uncertainty in mass calibration: possible approaches in a comparison study. J. Phys.: Conf. Ser., 459. 012033

Forbes, A B (2012) An MCMC algorithm based on GUM Supplement 1 for uncertainty evaluation. Measurement, 45 (5). pp. 1188-1199.

Scott, P J*; Forbes, A B (2012) Mathematics for modern precision engineering. Philos. Trans. R. Soc. Lond. A, Math. Phys. Eng. Sci., 370 (1973). pp. 4066-4088.

Martins, L L*; Ribeiro, A S*; Sousa, J A E*; Forbes, A B (2012) Measurement uncertainty of dew-point temperature in a two-pressure humidity generator. Int. J. Thermophysics, 33 (8-9). pp. 1568-1582.

Forbes, A B (2012) Weighting observations from multi-sensor coordinate measuring systems. Meas. Sci. Technol., 23 (2). 025004

Forbes, A B; Sousa, J A* (2011) The GUM, Bayesian inference and the observation and measurement equations. Measurement, 44 (8). pp. 1422-1435.

Hughes, E B; Forbes, A B; Lewis, A; Sun, W; Veal, D; Nasr, K (2011) Laser tracker error determination using a network measurement. Meas. Sci. Technol., 22 (4). 045103

Giusca, C L; Leach, R K; Forbes, A B (2011) A virtual machine-based uncertainty evaluation for a traceable areal surface texture measuring instrument. Measurement, 44 (5). pp. 988-993.

Hughes, E B; Sun, W; Forbes, A B; Lewis, A (2010) Determining laser tracker alignment errors using a network measurement. J. CMSC, 5 (2). pp. 26-32.

Forbes, A B; Tomlins, P; Gurdak, E; Illsely, M*; James, S*; James, E* (2010) Methodology for assessing local surface texture features that are relevant to cell attachment. J. Mater. Sci. Mater. Med., 21 (8). pp. 2463-2477.

Milton, M J T; Williams, J M; Forbes, A B (2010) The quantum metrology triangle and the redefinition of the SI ampere and kilogram; analysis of a reduced set of observational equations. Metrologia, 47 (3). pp. 279-286.

Forbes, A B; Lam, J; Tomlins, P (2009) Capturing local and anisotropic behaviour in surface geometry. Wear, 266 (5-6). pp. 527-529.

Forbes, A B; Hughes, B; Sun, W J (2009) Comparison of measurements in co-ordinate metrology. Measurement, 42 (10). pp. 1473-1477.

Peggs, G N*; Maropoulos, P G*; Hughes, E B; Forbes, A B; Robson, S*; Ziebart, M*; Muralikrishnan, B* (2009) Recent developments in large scale metrology. Proc. Inst. Mech. Eng. B, J. Eng. Manuf., 223 (6). pp. 571-595.

Cox, M G; Rossi, G B*; Harris, P M; Forbes, A B (2009) Reply to the comment on 'A probabilistic approach to the analysis of measurement processes'. Metrologia, 46 (1). L9-L10

Muelaner, J E*; Wang, Z*; Jamshidi, I*; Maropoulos, P G*; Mileham, A R*; Hughes, E B*; Forbes, A B (2009) Study of the uncertainty of angle measurement for a rotary-laser automatic theodolite (R-LAT). Proc. Inst. Mech. Eng. B, J. Eng. Manuf., 223 (3). pp. 217-229.

Kacker, R N*; Forbes, A B; Kessel, R*; Sommer, K D* (2008) Bayesian posterior predictive p-value of statistical consistency in interlaboratory evaluations. Metrologia, 45 (5). pp. 512-523.

Kacker, R N*; Forbes, A B; Kessel, R*; Sommer, K D* (2008) Classical and Bayesian interpretation of the Birge test of consistency and its generalized version for correlated results from interlaboratory evaluations. Metrologia, 45 (3). pp. 257-264.

Cox, M G; Rossi, G B*; Harris, P M; Forbes, A B (2008) A probabillistic approach to the analysis of measurement processes. Metrologia, 45 (5). pp. 493-502.

Cox, M G; Forbes, A B; Harris, P M (2007) Challenges for mathematical and statistical modelling for metrology. PAMM, 7 (1). pp. 1150305-1150306.

Goodman, T M; Forbes, A B; Walkey, H*; Eloholma, M*; Halonen, L*; Alferdinck, J*; Freiding, A*; Bodrogi, P*; Varday, G*; Szalmas, A* (2007) Mesopic visual efficiency IV: A model with relevance to night-time driving and other applications. Lighting Res. Technol., 39 (4). pp. 365-388.

Forbes, A B (2006) Uncertainty evaluation associated with fitting geometric surfaces to coordinate data. Metrologia, 43. S282-S290

Clarke, TA*; Forbes, A B (2001) How to tell if your large volume measurement system is suitable for a given task. Qual. Today (Septem). pp. 24-27.

Bartholomew-Biggs, M L*; Forbes, A B (2000) A robust search strategy in a Non-linear Least Squares Solver. J. Optim. Theory Appl., 104 (1). pp. 215-234.

Ellison, S L R*; Cox, M G; Forbes, A B; Butler, B P; Hannaby, S A; Harris, P M; Hodson, S M (1994) Development of data sets for the validation of analytical instrumentation. J. AOAC Int., 77 (3). p. 777.

Forbes, A B (1993) Validation of assessment software in dimensional metrology. Proc. SPIE - Int. Soc. Opt. Eng., 2088. pp. 27-36.

Butler, B P; Forbes, A B (1993) An algorithm for combining data sets having different frames of reference. Numer. Algorithms, 5 (1-4). pp. 467-477.

Conference or Workshop Item

Eng Tseng Lau*,; Qingping Yang*,; Taylor, G*; Stokes, L*; Forbes, A B; Livina, V N (2015) The UK electricity demand side response: Carbon savings analysis. In: 12th International Conference on the European Energy Market (EEM), 19-22 May 2015, Lisbon, Portugal.

Lau, E T*; Yang, Q*; Taylor, G A*; Forbes, A B; Wright, P S; Livina, V N (2014) Optimization of carbon emissions in smart grids. In: 49th International Universities Power Engineering Conference (UPEC), 2-5 September 2014, Cluj-Napoca, Romania.

Nasr, K M; Hughes, B; Forbes, A B; Lewis, A (2014) Determination of laser tracker angle encoder errors. In: UNSPECIFIED.

Venturi, A*; Dolan, M J*; Clarkson, P; Wright, P S; Forbes, A B; Yang, X-S; Roscoe, A J*; Ault, G W*; Burt, G M* (2013) Evaluating the robustness of an active network management function in an operational environment. In: 22nd International Conference and Exhibition on Electricity Distribution (CIRED 2013), 10-13 June 2013, Stockholm, Sweden.

Venturi, A*; Clarkson, P; Forbes, A B; Davidson, E*; Roscoe, A J*; Burt, G M*; Yang, X-S; Wright, P S (2011) The role of accurate measurements within smartgrids. In: 2nd IEEE PES International Conference and Exhibition on 'Innovative Smart Grid Technologies' (ISGT Europe), 5-7 December 2011, Manchester, UK.

Giusca, C L; Forbes, A B; Leach, R K (2009) Comparison between GUM, Monte Carlo and bayesian uncertainty evaluation approaches for an areal surface texture measuring instrument. In: 14th International Congress of Metrology, 22-25 June 2009, Paris.

Forbes, A B; Leach, R K (2009) Reducing the effects of measurement noise when determining surface texture parameters. In: 9th International Symposium on Measurement Technology and Intelligent Instruments (ISMTII-2009), 29 June - 2 July 2009, Saint-Petersburg, Russia.

Giusca, C L; Forbes, A B; Leach, R K (2009) Uncertainty evaluation for a new traceable areal surface texture measuring instrument. In: 12th International Conference on Metrology and Properties of Engineering Surfaces, 8-10 July 2009, Rzeszów, Poland.

Forbes, A B; Cooper, P*; Mason, J* (2006) Approximation with asymptotic polynomials. In: Algorithms for Approximation: Proceedings of the 5th International Conference., July 2005, Chester, UK.

Forbes, A B; Leach, R K (2005) Self-calibration of a novel surface texture measuring instrument. In: Laser Mapping and Machine Performance VII (LAMDAMAP 2005), 25-27 June 2005, Cranfield University, UK.

Forbes, A B; Leach, R K; Brill, N* (2004) The Abbe principle, self-calibration and the design of co-ordinate measuring systems. In: 4th euspen International Conference, 31 May 2004 - 2 June 2004, Glasgow, UK.

Forbes, A B (2003) Towards an industrial uncertainty methodology. In: UNCERT 2003 International Conference on the Uncertainty of Measurement - Technical Conference, 9-10 April 2003, St Catherine's College, Oxford, UK.

Forbes, A B (2001) Model validation in metrology. In: National Measurement Conference (NMC) 2001, 6-8 November 2001, Harrogate, UK.

Clarke, T A*; Wang, X; Cross, N R; Forbes, A B; Fossati, P M (2001) Performance verification for large volume metrology systems. In: LAMPDAMP 2001 5th International Conference on Laser Metrology and Machine Performance, 2001, Brighton, UK.

Downs, M J; Forbes, A B; Siddle, J E (1998) The verification of a high precision two dimensional position measurement system. In: Applied Optics and Optoelectronics 1998, 16-19 March 1998, Brighton, UK.

Anderson, I J*; Cox, M G; Forbes, A B; Mason, J C*; Turner, D A* (1997) An efficient and robust algorithm for solving the foot point problem. In: Proc. 4th International Conference on Mathematical Methods for Curves and Surfaces, 3-8 July 1997, Lillehammer, Norway.

Butler, B P; Cox, M G; Forbes, A B; Hannaby, S A; Harris, P M (1996) A methodology for testing classes of approximation and optimisation software. In: Proceedings of the IFIP TC2/WG2.5, 8-12 July 1996, Oxford.

Butler, B P; Forbes, A B; Harris, P M (1993) Geometric tolerance assessment problems. In: Advanced mathematical tools in metrology: proceedings of the international workshop, 20 - 22 October 1993, Torino, Italy.

Forbes, A B (1993) Mathematical software for metrology: meeting the needs of the metrologist. In: Advance mathematical tools in metrology:proceedings of the international workshop, 20 - 22 October 1993, Torino, Italy.

Book Chapter/Section

Forbes, A B; Zhang, N F; Chunovkina, A; Eichstadt, S; Pavese, F (2018) Models and algorithms for multi-fidelity data. In: Advanced Mathematical and Computational Tools in Metrology and Testing XI. World Scientific Publishing, pp. 178-185. ISBN 9789813274297

Jagan, K; Forbes, A B (2018) NLLSMH: MCMC software for nonlinear least squares regression. In: Advanced Mathematical and Computational Tools in Metrology and Testing XI. World Scientific Publishing, pp. 211-219. ISBN 9789813274297

Forbes, A B; Peggs, G N (1997) A large reference artefact for CMM verification. In: Laser Metrology and Machine performance III. UNSPECIFIED, pp. 393-400.

Butler, B P; Cox, M G; Forbes, A B (1994) The reconstruction of workpiece surfaces from probe centre data. In: Design and application of curves and surfaces. Oxford, Clarendon Press, pp. 99-116.