Dielectric and anharmonic behaviour of mixed alkali halides

Summary In the present paper an analysis of the dielectric behaviour and anharmonic contribution to the dielectric constants has been made of KCl−KBr mixed ionic crystals. The temperature and volume derivatives of static (ε₀), electronic (ε_∞) dielectric constants and energy gap parameter (E _g) have been calculated using the Szigeti and Havinga and Bosman dielectric theories. The anharmonic contributions have been estimated in terms of temperature derivatives of dielectric constants at constant volumes. The modified form of Clausius-Mossotti theory of dielectric polarization has been used for the mixed crystal under study. The calculated quantities have been compared with the available experimental data. A good agreement has been obtained. To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.     

Scheduling a Multi-Product Single Machine System

This paper describes an easy method of determining the economic manufacturing schedule of a multi-product single machine system on a repetitive basis. An example has been solved to illustrate the method reported in the paper.     

Cellulase lessons revealed through the microbe's perspective

Applied Biochemistry and Biotechnology - Cellulose, the world's most abundant organic material, is central to the world's ecosystem. This energy resource is mobilized and recycled by...     

Macroscopic theory of elasticity of fourth order elastic constants of cubic structure solids

The macroscopic theory of elasticity is extended to determine the fourth order elastic constants. The expressions for the small amplitude sound wave velocity and for a natural velocity, in statically stressed media, are derived in terms of second, third and fourth order elastic constants.     

Large-Time Asymptotics for Periodic Solutions of Some Generalized Burgers Equations

In this paper, we construct large-time asymptotic solutions of some generalized Burgers equations with periodic initial conditions by using a balancing argument. These asymptotics are validated by a careful numerical study. We also show that our asymptotic results agree with the approximate solutions obtained by Parker [1] in certain limits.     

Radial oscillations of neutron stars in strong magnetic fields

The eigen frequencies of radial pulsations of neutron stars are calculated in a strong magnetic field. At low densities we use the magnetic BPS equation of state (EOS) similar to that obtained by Lai and Shapiro while at high densities the EOS obtained from the relativistic nuclear mean field theory is taken and extended to include strong magnetic field. It is found that magnetized neutron stars support higher maximum mass whereas the effect of magnetic field on radial stability for observed neutron star masses is minimal.     

The Trended Inventory Lot Sizing Problem with Shortages Under a New Replenishment Policy

In the past few years, considerable attention has been given to the inventory lot sizing problem with trended demand over a fixed horizon. The traditional replenishment policy is to avoid shortages in the last cycle. Each of the remaining cycles starts with a replenishment and inventory is held for a certain period which is followed by a period of shortages. A new replenishment policy is to start each cycle with shortages and after a period of shortages a replenishment should be made. In this paper, we show that this new type of replenishment policy is superior to the traditional one. We further propose four heuristic procedures that follow the new replenishment policy. These are the constant demand approximation method, the equal cycle length heuristic, the extended Silver approach, and the extended least cost solution procedure. We also examine the cost and computation time performances of these heuristic procedures through an empirical study. The number of test problems solved to optimality, average and maximum cost deviation from optimum were used as measures of cost performance. The results of the 10 000 test problems reveal that the extended least cost approach is most cost effective.     

Strain derivatives of high and low frequency dielectric constants of cuprous halides

A phenomenological lattice theory is derived to study the strain derivatives of the high and low frequency dielectric constants of solids with the ZnS type structure. The theory is used to analyse the peculiar photo-elastic behaviour and the mechanism of polarisation in cuprous halides.