Stochastic-network Reduction and Sensitivity Techniques in a Cost Effectiveness Study of a Military Communications System

This paper describes some aspects of cost effectiveness methodology and operational research as they have been applied in a system design study for a military communications system. There are two main areas of interest from an operational research point of view:(a) The attempt to use cost effectiveness analysis as an integral part of system design.(b) The development and application of new techniques (notably in stochastic network analysis and simulation) which are potentially of much wider application.There are several ways of attacking the problem of multiple objectives encountered in a cost effectiveness analysis. These are briefly described and the preferred method of a single measure of effectiveness is discussed in detail. The measure used in the communications system design study is presented and the method of evaluating it by simulation is described. The next step after evaluation of the effectiveness is optimization and here the use of the Lagrange multipliers is introduced. This method requires iteration on the values of performance parameters and their costs and this becomes very time-consuming if a simulation must be performed each time. It is here that the novel methods of analysing networks are developed. The main use of these methods of analysis, or reduction rules, has been in reducing the size and complexity of the simulations. The technique which has contributed most to the reduction in the number of simulations required to arrive at an optimum disposition of resources is a method of carrying out a sensitivity analysis based on data collected during a single simulation run. This hybrid analytical-cum-simulation technique is discussed in detail with reference to a communications system, and its application to a wider range of problems, such as probabilistic PERT, indicated.     

Solution of Special Linear Programming Problems with Additional Constraints

This paper gives a method of solution for linear programming problems whose constraints can be split into two sets, the first having a special structure, such as that of the transportation problem for example, while the second set is quite general. A problem with only the first set of constraints is referred to as a favoured problem, while a problem with both sets is called a complete problem.The proposed method is basically the simplex procedure specialized for a problem with a particular structure, and the feasibility and optimality criteria and the rules for basis change are the same as those used in the simplex procedure. However, the method takes advantage of the simple algorithms developed for the favoured problem and uses them to solve the complete problem in an efficient manner.Such problems could also be solved by the Decomposition Principle and, vice versa, Decomposition problems can be solved by the present method. The two methods are, however, essentially different in their approach to the problem.     

Validation of a bioanalytical method for the quantification of a therapeutic peptide, ramoplanin, in human dried blood spots using LC-MS/MS

A method has been developed and validated for the quantification of ramoplanin, a 2554 Da peptide antibiotic, in human dried blood spots using high‐performance liquid chromatography with tandem mass spectrometric detection. The validation data meet FDA acceptance criteria for bioanalytical assays and cover the quantification of ramoplanin over the range 10–5000 ng/mL. The assay determines ramoplanin at the same lower limit of quantification as conventional liquid sample methods. Dried blood spot analysis provides an approach for quantification of peptide therapeutics and delivers significant benefits for sample collection and handling and also sample cleanup over conventional plasma and serum assays. Copyright © 2010 John Wiley & Sons, Ltd.     

Mixed-mode oscillations in a homogeneous pH-oscillatory chemical reaction system

We examine experimentally a chemical system in a flow-through stirred reactor, which is known to provide large-amplitude oscillations of the pH value. By systematic variation of the flow rate, we find that the system displays hysteresis between a steady state and oscillations, and more interestingly, a transition to chaos involving mixed-mode oscillations. The basic pattern of the measured pH in the mixed-mode regime includes a large-scale peak followed by a series of oscillations on a much smaller scale, which are usually highly irregular and of variable duration. The bifurcation diagram shows that chaos sets in via a period-doubling route observed on the large-amplitude scale, but simultaneously small-amplitude oscillations are involved. Beyond the apparent accumulation of period doubling bifurcations, a mixed-mode regime with irregular oscillations on both scales is observed, occasionally interrupted by windows of periodicity. As the flow rate is further increased, chaos turns into quasiperiodicity and later to a simple small-amplitude periodic regime. Dynamics of selected typical regimes were examined with the tools of nonlinear time-series analysis, which include phase space reconstruction of an attractor and calculation of the maximal Lyapunov exponent. The analysis points to deterministic chaos, which appears via a period doubling route from below and via a route involving quasiperiodicity from above, when the flow rate is varied.     

A universal relationship between optimum drift voltage and resolving power

The drift voltage is one of the key experimental parameters of any drift tube ion mobility spectrometer. In this work, we show that a universal relationship between optimum drift voltage and the resolving power reached at this point exists, governed only by temperature and ion charge state. With these two quantities known, the measured optimum drift voltage and resolving power combination can be used to estimate the ideality of the drift conditions inside a drift tube, since any deviation from the theoretical values must be caused by non-idealities in the ions’ drift. Analyzing drift voltage sweeps from nine different ion mobility spectrometers, a continuous increase in drift tube ideality over the past is observed, reaching from less than 50% thirty years ago to 99% for a current design based on printed circuit boards. Furthermore, possible causes for the observed non-idealities are discussed.