17,237 research outputs found
A simple, fast, and effective heuristic for the single-machine total weighted tardiness problem
We consider the single-machine total weighted tardiness problem (TWT) where a set of n jobs with general weights w_1,…, w_n, integer processing times p_1,…, p_n, and integer due dates d_1,…, d_n has to be scheduled non-preemptively. If C_j is the completion time of job j then T_j = max(0, C_j - d_j) denotes the tardiness of this job. The objective is to find a schedule S^{*}_{WT} that minimizes the weighted sum of the tardiness costs of all jobs computed as \sum_{j=1}^{n} w_j T_j. This problem is known to be unary NP-hard. Our goal is to design a constructive heuristic for this problem that yields excellent feasible solutions in short computational times by exploiting the structural properties of a preemptive relaxation
Mass Spectra and Decay Constants of Heavy-Light Mesons: A Case Study of QCD Sum Rules and Quark Model
In this paper we visited mass spectra and decay constants of pseudoscalar and
vector heavy-light mesons (, , and ) in the framework of QCD
sum rule and quark model. The harmonic oscillator wave function was used in
quark model while a simple interpolating current was used in QCD sum rule
calculation. We obtained good results in accordance with the available
experimental data and theoretical studies.Comment: 11 pages, 2 tables, 8 figure
S-wave Heavy Quarkonium Spectra: Mass, Decays and Transitions
In this paper we revisited phenomenological potentials. We studied S-wave
heavy quarkonium spectra by two potential models. The first one is power
potential and the second one is logarithmic potential. We calculated spin
averaged masses, hyperfine splittings, decay constants, leptonic decay widhts,
two-photon and two-gluon decay widths and some allowed M1 transitions. We
studied ground and 4 radially excited S-wave charmonium and bottomonium states
via solving nonrelativistic Schr\"odinger equation. Although the potentials
were studied in this paper is not directly QCD motivated potential, obtained
results are agree well with experimental data and other theoretical studies.Comment: 11 pages, 14 Table
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