Computational Experience With a Group Theoretic Integer Programming Algorithm
Computational Experience With a Group Theoretic Integer Programming Algorithm
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We now turn to the question of when the group problem or asymptotic problem (6) does in fact solve the IP problem (4) from which it was derived. In reference [16] on page 347, T. C. Hu states, "Although we have a suffi- cient condition that tells when the asymptotic algorithm works, actual computation will reveal that the algorithm works most of the time even if the sufficient condition is not satisfied. " Computation has in fact re- vealed that solving the asymptotic problem does not solve the... original problem for most real life IP problems of any size, say problems with more than 40 rows. The positive search times on all but two of the problems in Table 1 indicates that the solutions to the asymptotic problems (6) were infeasible in the original problems. The difficulty is compounded by the fact that problem (6) almost always has many alternative optimal solutions, only one of which may be feasible and therefore optimal in (4). This was the case, for example, for the 57 row clerk scheduling problem.
What to read after Computational Experience With a Group Theoretic Integer Programming Algorithm?
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To quickly assess the difficulty of the text, read a short excerpt:
We now turn to the question of when the group problem or asymptotic problem (6) does in fact solve the IP problem (4) from which it was derived. In reference [16] on page 347, T. C. Hu states, "Although we have a suffi- cient condition that tells when the asymptotic algorithm works, actual computation will reveal that the algorithm works most of the time even if the sufficient condition is not satisfied. " Computation has in fact re- vealed that solving the asymptotic problem does not solve the... original problem for most real life IP problems of any size, say problems with more than 40 rows. The positive search times on all but two of the problems in Table 1 indicates that the solutions to the asymptotic problems (6) were infeasible in the original problems. The difficulty is compounded by the fact that problem (6) almost always has many alternative optimal solutions, only one of which may be feasible and therefore optimal in (4). This was the case, for example, for the 57 row clerk scheduling problem.
What to read after Computational Experience With a Group Theoretic Integer Programming Algorithm?
You can find similar books in the "Read Also" column, or choose other free books by George Anthony Gorry to read onlineMoreLess
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