Solving network manpower problems with side constraints

A number of authors have used goal-programming to solve manpower problems. Some of these authors have also formulated goal-programming manpower models in a network so as to take advantage of the rapid codes now available for the solution of capacitated transportation problems. In this paper, a number of methods of dealing with side constraints (those not included in the network formulation) are explored. Of particular interest are constraints for dealing with attrition and for expressing budgetary restrictions.     

Influences of random disturbances on simultaneous resonances of nonlinear coupling systems

The influences of random disturbances on simultaneous resonances of nonlinear coupling systems are dealt with in this paper. First, the approximate probability distribution of behavior of nonlinear system is presented through using the stochastic averaging method. Secondly, using the Monte Carlo numerical simulation method, we study the above mentioned system. Both conclusions are nearly same. It is confirmed that the stochastic averaging method is one of efficient methods for dealing with nonlinear random vibration problems.     

Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces

A new heuristic approach for minimizing possiblynonlinear and non-differentiable continuous spacefunctions is presented. By means of an extensivetestbed it is demonstrated that the new methodconverges faster and with more certainty than manyother acclaimed global optimization methods. The newmethod requires few control variables, is robust, easyto use, and lends itself very well to parallelcomputation.     

Synthesis of 7-oxopyrrolo[3,2-B]pyridine-6-carboxylic acid derivatives as potential antimicrobial agents

A route for the synthesis of various derivatives of 7-oxopyrrolo[3,2-b]pyridine-6-carboxylic acid from 2-methyl-3-carbomethoxy-4-aminopyrrole is reported.     

Isotactic sequence lengths by ozonation of poly(propylene oxide)

Ozonation followed by lithium aluminum hydride reduction cleaved high molecular weight isotactic poly(propylene oxide) to crystalline polyglycols. From the melting point and molecular weight of the latter, the molar freezing point depression produced by end groups is found to be ca. 18°C./mole, as compared to that estimated for poly(ethylene glycols), K_f = 12°C./mole, from earlier data. By assuming syndiotactic placements (or other irregularities) would produce the same molar depression, the melting point of isotactic poly(propylene oxides) produced by various catalysts has been used to estimate the isotactic sequence lengths.     

A Weighted Simplex Procedure for the Solution of Simultaneous Non-Linear Equations

The Weighted Simplex procedure, a version of the secant algorithm,provides an alternative to the Newton-Raphson procedure in thesolution of a set of non-linear equations. The results of trialsshow that, given a sufficiently good initial approximation toa solution, the two procedures converge with comparable efficiencies.Unlike the Newton-Raphson procedure the Weighted Simplex proceduredoes not involve the computation of partial derivatives.