Structural multiplicity has a significant effect on the solution of an MINLP model for process synthesis problems. The optimization model may also have built-in redundancy that cannot always be directly derived from the multiplicity of the superstructure. A basic GDP representation (BGR) involving logical relations is defined, and can be constructed by applying a standard natural representation...

A three-parameter discrete distribution is developed to describe the multiplicity distributions observed in totaland limited phase space volumes in different collision processes. The probability law is obtained by the Poisson transform of the KNO scaling function derived in Polyakov’s similarity hypothesis for strong interactions as well as in perturbative QCD, ψ(z) ∝ zα exp(−zμ). Various chara...

The central-arbitrary bin and forward-backward bin multiplicity correlation patterns for Au+Au collisions at √ sNN= 7.7 − 62.4 GeV are investigated within a multi-phase transport (AMPT) model. An interesting observation is that for √ sNN < 19.6 GeV Au+Au collisions, these two correlation patterns both have an increase with the pseudorapidity gap, while for √ sNN > 19.6 GeV Au+Au collisions, the...

We derive a partition function for the Lund fragmentation model and compare it with that of a classical gas. For a fixed rapidity “volume” this partition function corresponds to a multiplicity distribution which is very close to a binomial distribution. We compare our results with the multiplicity distributions obtained from the JETSET Monte Carlo for several scenarios. Firstly, for the fragmen...

System size dependence of multiplicity fluctuations of charged particles produced in nuclear collisions at 158A GeV was studied in the NA49 CERN experiment. Results indicate a non-monotonic dependence of the scaled variance of the multiplicity distribution with a maximum for semi-peripheral Pb+Pb interactions with number of projectile participants of about 35. This effect is not observed in a s...

Experimenting with Real-Time Specification Methods: The Model Multiplicity Problem Mor Peleg and Dov Dori Area of Information systems Engineering Faculty of Industrial Engineering and Management Technion, Israel Institute of Technology, Haifa 32000, Israel {mor, dori}@ie.technion.ac.il; Fax 972-4-8235194 , Tel: 972-4-8294409 / 2921 The Object-Process Methodology (OPM) specifies both graphically...

ÐThe Object-Process Methodology (OPM) specifies both graphically and textually the system's static-structural and behavioral-procedural aspects through a single unifying model. This model singularity is contrasted with the multimodel approach applied by existing object-oriented system analysis methods. These methods usually employ at least three distinct models for specifying various system asp...