1993–2010 by Paragon Decision Technology B.V. All rights reserved.
Paragon Decision Technology B.V.
2034 LS Haarlem
Tel.: +31 23 5511512
Fax: +31 23 5511517
Paragon Decision Technology Inc.
500 108th Avenue NE
Ste. # 1085
Bellevue, WA 98004
Tel.: +1 425 458 4024
Fax: +1 425 458 4025
Paragon Decision Technology Pte.
80 Rafes Place
UOB Plaza 1, Level 36-01
Tel.: +65 9640 4182
is a registered trademark o± Paragon Decision Technology B.V.
IBM ILOG CPLEX
and sc CPLEX is
a registered trademark o± IBM Corporation.
is a registered trademark o± Gurobi Optimization,
is a registered trademark o± Ziena Optimization, Inc.
is a registered trademark
o± FICO Fair Isaac Corporation.
is a registered trademark o± Mosek ApS.
registered trademarks o± Microso±t Corporation. T
X are trademarks o± the American
is a registered trademark o± Bigelow & Holmes Inc.
is a registered
trademark o± Adobe Systems Inc.
Other brands and their products are trademarks o± their respective
In±ormation in this document is subject to change without notice and does not represent a commitment on
the part o± Paragon Decision Technology B.V. The so±tware described in this document is ±urnished under
a license agreement and may only be used and copied in accordance with the terms o± the agreement. The
documentation may not, in whole or in part, be copied, photocopied, reproduced, translated, or reduced to
any electronic medium or machine-readable ±orm without prior consent, in writing, ±rom Paragon Decision
Paragon Decision Technology B.V. makes no representation or warranty with respect to the adequacy
of this documentation or the programs which it describes for any particular purpose or with respect
to its adequacy to produce any particular result. In no event shall Paragon Decision Technology B.V.,
its employees, its contractors or the authors of this documentation be liable for special, direct, indirect
or consequential damages, losses, costs, charges, claims, demands, or claims for lost proFts, fees or
expenses of any nature or kind.
In addition to the foregoing, users should recognize that all complex software systems and their doc-
umentation contain errors and omissions. The authors, Paragon Decision Technology B.V. and its em-
ployees, and its contractors shall not be responsible under any circumstances for providing information
or corrections to errors and omissions discovered at any time in this book or the software it describes,
whether or not they are aware of the errors or omissions. The authors, Paragon Decision Technology
B.V. and its employees, and its contractors do not recommend the use of the software described in this