After giving a suitable model for the cutting strips problem, we present a branch-and-price algorithm for it by combining the column generation technique and the branch-and-bound method with LP relaxations.
Some theoretical issues and implementation details about the algorithm are discussed, including the solution of the pricing subproblem, the quality of LP relaxations, the branching scheme as well as the column management.
Let U(R,S) denote the class of all (0,1)-m × n matrices having row sum vector R and column sum vector S.
Enumeration of (0,1)-matrices with constant row and column sums
Let fs,t(m,n) be the number of (0,1) - matrices of size m × n such that each row has exactly s ones and each column has exactly t ones (sm = nt).
A standard procedure, for modelling a laboratory-scale wire-to-cylinder electrostatic precipitator and for guiding the research of the set point, is presented.
The SNR (signal-to-noise ratio) of the vibration signals of a diesel cylinder lid is the highest.
All the test data fall into the factor of 2.5 for CMSX-2 hollow cylinder specimens and 2.0 scatter band for DD3 notched specimens, respectively.
Turbulent Taylor vortex flow, which is contained between a rotating inner cylinder and a coaxial fixed outer cylinder with fixed ends, is simulated by applying the development in Reynolds stress equations mold (RSM) of the micro-perturbation.
In our work, Ar was used as the plasma forming gas, O2 was the reactive gas and metal zinc powder (99.99% purity) vaporized by cylinder hollow-cathode discharge (HCD) acted as the zinc source.