Synchronous approach in interactive multiobjective optimization

We introduce a new approach in the methodology development for interactive multiobjective optimization. The presentation is given in the context of the interactive NIMBUS method, where the solution process is based on the classification of objective functions. The idea is to formulate several scalarizing functions, all using the same preference information of the decision maker. Thus, opposed to fixing one scalarizing function (as is done in most methods), we utilize several scalarizing functions in a synchronous way. This means that we as method developers do not make the choice between different scalarizing functions but calculate the results of different scalarizing functions and leave the final decision to the expert, the decision maker. Simultaneously, (s)he obtains a better view of the solutions corresponding to her/his preferences expressed once during each iteration.In this paper, we describe a synchronous variant of the NIMBUS method. In addition, we introduce a new version of its implementation WWW-NIMBUS operating on the Internet. WWW-NIMBUS is a software system capable of solving even computationally demanding nonlinear problems. The new version of WWW-NIMBUS can handle versatile types of multiobjective optimization problems and includes new desirable features increasing its user-friendliness.     

Quantum number transfer and overlap calculations

The relationship between Regge behaviour of two-body amplitudes and quantum number exchange in multiparticle production is analyzed. An exact bound on the elastic forward peak in terms of inclusive p_⊥ correlations is given. Another result is that one cannot obtain α′_? > α′_P from overlap calculations, using only the present inclusive data as input.     

On the charge structure of high-energy multiple production

Correlations between neutral and charged particles produced in high-energy collisions are studied. The associated average multiplicity 〈n₀〉_n and the associated moment (f₂⁰⁰) are expressed in terms of the Mueller moments. An isospin analysis of the pion - pion correlations is performed with the help of Mueller-Regge techniques. From this analysis, the slope of 〈n₀〉_n? is predicted to be asymptotically about 0.75. This asymptotic limit should be approached already at ISR energies. Finally, predictions are given for the associated moment (f₂⁰⁰)_n?, and the importance of the measurements of this quantity is emphasized.     

On numerical solution of hemivariational inequalities by nonsmooth optimization methods

In this paper we consider numerical solution of hemivariational inequalities (HVI) by using nonsmooth, nonconvex optimization methods. First we introduce a finite element approximation of (HVI) and show that it can be transformed to a problem of finding a substationary point of the corresponding potential function. Then we introduce a proximal budle method for nonsmooth nonconvex and constrained optimization. Numerical results of a nonmonotone contact problem obtained by the developed methods are also presented.     

Muon pair production in very high energy nucleus-nucleus collisions

Characteristics of muon pair production in very high energy nucleus-nucleus collisions are discussed. Particular attention is given to comparing the rate of muon pairs produced from thermalized quark-gluon matter to that of pairs produced via the usual Drell-Yan mechanism. The thermal rate is at least of the same order of magnitude as the direct Drell-Yan rate and will certainly dominate whenx _F for the pair approaches 1. Beyondx _F =1 the thermal rate is also substantial. This region is particularly easily accessible in fixed target experiments.     

Thermodynamic assessment of the Cu‐Mg‐Si system in its copper‐rich region

A thermodynamic assessment of the ternary Cu‐Mg‐Si system was made in its copper‐rich region in relation with the development of a thermodynamic database for Cu‐Mg alloys. The adjustable parameters of the binary end‐systems (Cu‐Mg, Cu‐Si and Mg‐Si) were taken from the literature and those of the Cu‐Mg‐Si system were optimized using experimental thermodynamic and topological data. For the sake of simplicity, the solution phases were described with the substitutional solution model and the intermetallic compounds were treated as plain semi‐stoichiometric phases ((A,B)_pC_q‐type). The assessment developed is applicable for magnesium contents up to 20 wt% (i.e. magnesium mole fractions ≈0.4) and silicon contents up to 16 wt% (i.e. silicon mole fractions ≈0.3). (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)