• A. Seryi
  
• I. V. Agapov, G. A. Blair, S. T. Boogert, J. Carter
  Royal Holloway, University of London, Surrey
• M. Alabau, P. Bambade, J. Brossard, O. Dadoun
  LAL, Orsay
• J. A. Amann, R. Arnold, F. Asiri, K. L.F. Bane, P. Bellomo, E. Doyle, A. F. Fasso, L. Keller, J. Kim, K. Ko, Z. Li, T. W. Markiewicz, T. V.M. Maruyama, K. C. Moffeit, S. Molloy, Y. Nosochkov, N. Phinney, T. O. Raubenheimer, S. Seletskiy, S. Smith, C. M. Spencer, P. Tenenbaum, D. R. Walz, G. R. White, M. Woodley, M. Woods, L. Xiao
  SLAC, Menlo Park, California
• M. Anerella, A. K. Jain, A. Marone, B. Parker
  BNL, Upton, Long Island, New York
• D. A.-K. Angal-Kalinin, C. D. Beard, J.-L. Fernandez-Hernando, P. Goudket, F. Jackson, J. K. Jones, A. Kalinin, P. A. McIntosh
  STFC/DL/ASTeC, Daresbury, Warrington, Cheshire
• R. Appleby
  UMAN, Manchester
• J. L. Baldy, D. Schulte
  CERN, Geneva
• L. Bellantoni, A. I. Drozhdin, V. S. Kashikhin, V. Kuchler, T. Lackowski, N. V. Mokhov, N. Nakao, T. Peterson, M. C. Ross, S. I. Striganov, J. C. Tompkins, M. Wendt, X. Yang
  Fermilab, Batavia, Illinois
• K. Buesser
  DESY, Hamburg
• P. Burrows, G. B. Christian, C. I. Clarke, A. F. Hartin
  OXFORDphysics, Oxford, Oxon
• G. Burt, A. C. Dexter
  Cockcroft Institute, Warrington, Cheshire
• J. Carwardine, C. W. Saunders
  ANL, Argonne, Illinois
• B. Constance, H. Dabiri Khah, C. Perry, C. Swinson
  JAI, Oxford
• O. Delferriere, O. Napoly, J. Payet, D. Uriot
  CEA, Gif-sur-Yvette
• C. J. Densham, R. J.S. Greenhalgh
  STFC/RAL, Chilton, Didcot, Oxon
• A. Enomoto, S. Kuroda, T. Okugi, T. Sanami, Y. Suetsugu, T. Tauchi
  KEK, Ibaraki
• A. Ferrari
  UU/ISV, Uppsala
• J. Gronberg
  LLNL, Livermore, California
• Y. Iwashita
  Kyoto ICR, Uji, Kyoto
• W. Lohmann
  DESY Zeuthen, Zeuthen
• L. Ma
  STFC/DL, Daresbury, Warrington, Cheshire
• T. M. Mattison
  UBC, Vancouver, B. C.
• T. S. Sanuki
  University of Tokyo, Tokyo
• V. I. Telnov
  BINP SB RAS, Novosibirsk
• E. T. Torrence
  University of Oregon, Eugene, Oregon
• D. Warner
  Colorado University at Boulder, Boulder, Colorado
• N. K. Watson
  Birmingham University, Birmingham
• H. Y. Yamamoto
  Tohoku University, Sendai

• J. Payet
  
• S. Auclair, A. Chance, O. Napoly, D. Uriot
  CEA, Gif-sur-Yvette

With the local chromaticity correction scheme, the luminosity optimisation of the beam delivery systems of the e⁺ e^- International Linear Collider (ILC) project is challenging. A manual optimization is a long and complex process and its automation becomes a necessity. Recent works have shown that it was possible to employ a simplex minimization method, applied to the beam size calculation at the Interaction Point (IP), to reach this objective automatically *. To achieve this goal in the ILC case, we have developed a minimization code which uses analytical computations of the IP beam sizes based on external code results, TRANSPORT** or MADX (with PTC extension)***. Two minimization algorithms can be employed. The maximum luminosity reached and the convergence time of the two codes and algorithms are compared. We also used the code TRACEWIN which tracks a particle cloud and minimise the rms beam spot sizes at IP to optimise the luminosity, and we compare with the previous results.

* Non-linear optimization of beam lines, R. Tomas, CLIC Note 659** Third-Order TRANSPORT with MAD Input, D. C. Carey, K. L. Brown and F. Rothacker, FERMILAB-Pub-98/310*** MADX User's Guide CERN