Fully polynomial-time approximation schemes for time–cost tradeoff problems in series–parallel project networks
نویسندگان
چکیده
منابع مشابه
Fully Polynomial Time Approximation Schemes for Time-Cost Tradeoff Problems in Series-Parallel Project Networks
We consider the deadline problem and budget problem of the nonlinear time-cost tradeoff project scheduling model in a series-parallel activity network. We develop fully polynomial time approximation schemes for both problems using K-approximation sets and functions, together with series and parallel reductions.
متن کاملFully polynomial time approximation schemes (FPTAS) for some counting problems
In this thesis we develop FPTASs for the counting problems of m−tuples, contingency tables with two rows, and 0/1 knapsack. For the problem of counting m−tuples, we design two algorithms, one is strongly polynomial. As far as we know, these are the first FPTASs for this problem. For the problem of counting contingency tables we improve significantly over the running time of existing algorithms....
متن کاملFully Polynomial Time Approximation Schemes for Sequential Decision Problems
This thesis is divided into two parts sharing the common theme of fully polynomial time approximation schemes. In the first part, we introduce a generic approach for devising fully polynomial time approximation schemes for a large class of problems that we call list scheduling problems. Our approach is simple and unifying, and many previous results in the literature follow as direct corollaries...
متن کاملFully Polynomial Time Approximation Schemes
Recall that the approximation ratio for an approximation algorithm is a measure to evaluate the approximation performance of the algorithm. The closer the ratio to 1 the better the approximation performance of the algorithm. It is notable that there is a class of NP-hard optimization problems, most originating from scheduling problems, for which there are polynomial time approximation algorithm...
متن کاملFast fully polynomial approximation schemes for minimizing completion time variance
We present fully polynomial approximation schemes for the problem of minimizing completion time variance of a set of n jobs on a single machine. The fastest of these schemes runs in time O(n/ ) and thus improves on all fully polynomial approximation schemes presented in the literature.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Operations Research Letters
سال: 2009
ISSN: 0167-6377
DOI: 10.1016/j.orl.2009.03.002