Math Forum / Mathematics / Operations Research / April 2006

Anyone knows how to create a 3 dimensional array of boolean variables?

I am working on a heuristic algorithm for a routing problem. I need to
develop a program that calls a solver (XA or Cplex) numerous times to
solve an optimization subproblem. I need to send input to and receive
output from the solver numerous times as the algorithm proceeds.

I have been front of optimization problem of a quadratic form:
Given semi-positive definite n by n matrix A (rank of A is less than n) and
n by 1 vector b,
find n by 1 vector w such that 'MAXIMIZES'

Does anybody know how to set Netbeans up for CPLEX?
I want to set it up as acting like javamake.
For example, -Djava.library.path=..\..\..\bin\win32\
-classpath "..\..\lib\cplex.jar"

The objective function to be minimized is a difference of two
Exponential Functions:
f(x)=-exp(-(x-2)^2/2 - x^2/2) - exp(-(x+2)^2/2 - x^2/2)
In Matlab, I used fminunc() as following:

Let A,B,C be matrices with the same number of rows. Then show that
either the system
A'x<0, B'x<=0, C'x=0      ( ' means transpose of matrix)
is consistent, or the system  Ay1 + By2 + Cy3 = 0 , y1>=0, y1 not= 0,

The solution of my optimization problem is a matrix (i.e., n vectors).
However, the solution I am looking for should be such that the n
vectors are linearly independent. Therefore, I am trying to model the
linear independence check as a set of constraints. Thus far, I have

In none-linear multiobjective optimization, while searching for Pareto
solutions, solvers might deliver dominated solutions instead. In single
objective, this is equivalent to local optimal solutions!
However, in linear multiobjective optimization, could such thing

I am using CPLEX through the C callable library. I wanted to know if
there is a way to assign an initial value to the LP variables? Also,
how will it behave if the initial point does not satisfy all
constraints? Any help will be greatly appreciated.

We have a problem where we have different price bands for buying and/or
selling an item from an external market.  The model (LP) can either make
this item to meet some internal requirement and sell the surplus, or not
make this item and purchase the shortfall from this external ...

Is there any software or program which will help in determining the
convexity/linearity of the function (of two variables only) ???
Thanks and Regards,
Ravi

I want to use "fsolve" in order to check my user-supplied derivative
and finite difference derivative obtained from computer. But
unfortunately, Matlab says
Warning: Trust region algorithm does not currently check user-supplied

Suppose I solve the LP relaxation of an IP problem. If there are
multiple optimal solutions to the LP relaxation, how can I be sure that
there are no integer solutions in it?
Is it possible to establish the existence (or non-existence) of such a