Analysis of Open Discrete Time Queueing Networks: A Refined Decomposition Approach

This paper deals with approximate analysis methods for open queueing networks. External and internal flows from and to the nodes are characterized by renewal processes with discrete time distributions of their interarrival times. Stationary distributions of the waiting time, the queue size and the interdeparture times are obtained using efficient discrete time algorithms for single server (GI/G/1) and multi-server (GI/D/c) nodes with deterministic service. The network analysis is extended to semi-Markovian representations of each flow among the nodes, which include parameters of the autocorrelation function.     

Theoretical investigation of isotopic scrambling mechanisms in 2-chloroethyl methyl sulfide

Ab initio and semiempirical molecular orbital calculations have been applied to study the concerted and stepwise isotopic scrambling mechanisms of 2-chloroethyl methyl sulfide in the gas phase and in aqueous solution. The calculations reveal the structural details of the reactants, transition structures, and intermediates involved in this reaction and provide relative energy estimates. The concerted mechanism is found to be competitive with the stepwise mechanism in the gas phase, but the stepwise mechanism is favored in aqueous solution as no true transition structure for the concerted mechanism could be found using the solvation models. A combined approach of evaluating solvation energies with the generalized-Bom-plus-surface-tensions SM _x solvation models of Cramer and Truhlar at ab initio optimized geometries is found to deliver the best agreement with experimentally determined reaction barriers. Together with the recent experimental results of McManus and co-workers, the present study provides insights into the controlling factors involved in the elementary reaction steps of sulfur mustards and a solid foundation for investigations into more complex reactions of related compounds.     

Theory for migration of ions in capillary electrochromatography

The fundamental migration theories for chromatography and electrophoresis are both based on a solution of the mass balance equation. The corresponding analysis for an electrochromatographic system has previously been published and is analysed in more detail in this paper. It is shown that the resulting equation, Eq. (8) in this paper, is in agreement with both electrophoretic and chromatographic theories and that when these migration modes are mixed a complicated migration behaviour emerge. These complications arise, if the comparison is done with electrophoretic theory, because the presence of the stationary phase creates a number of new restrictions on the system (electroneutrality on the stationary phase and simultaneous equilibrium for all components between the eluent and stationary phase). From a mathematical point of view, these restrictions make it difficult for the system to satisfy the coherence condition and this in turn may lead to an anomalous behaviour. To minimise the possibility for a complicated behaviour it is advisable to avoid too much mixing of the two migration mechanisms and/or to match the mobilities of the ionic components in the eluent phase with the mobility of the analyte ion.     

Photolysis of polyesters: Poly(propylene-1,2-maleate) and poly(propylene-1,2-ortho-phthalate)

A spectroscopic study of the photo-oxidation of poly(propylene-1,2-maleate), poly(propylene-1,2-o-phthalate) and poly(propylene-1,2-maleate-o-phthalate) under 280–480 nm radiation was investigated in detail. Results obtained indicate that, during photolysis of these polyesters, the primary photoreactions involve excitation of conjugated structures: carbonyl groups (in ester groups)—double bonds or carbonyl groups-phenylene rings. The secondary reactions occur by complicated mechanisms resulting in oxidation, scission, radical termination and cross-linking of structures present in the photolysed polyesters. Light of wavelength 280–480 nm causes deterioration in the polyesters in the early stages of irradiation. Singlet oxygen does not react with these polyesters even during long periods of exposure. Photo-oxidation mechanism occurs by free radical mechanism.