Optimal Resource Partitioning in a Military Conflict based on Lanchester Attrition Models

This paper develops a model for military conflicts where the defending forces have to determine an optimal partitioning of available resources to counter attacks from an adversary in two different fronts. The Lanchester attrition model is used to develop the dynamical equations governing the variation in force strength. Three different allocation schemes - Time-Zero-Allocation (TZA), Allocate-Assess-Reallocate (AAR), and Continuous Constant Allocation (CCA) - are considered and the optimal solutions are obtained in each case. Numerical examples are given to support the analytical results.

Optimal Resource Partitioning in a Military Conflict based on Lanchester Attrition Models

This paper develops a model for military conflicts where the defending forces have to determine an optimal partitioning of available resources to counter attacks from an adversary in two different fronts. The Lanchester attrition model is used to develop the dynamical equations governing the variation in force strength. Three different allocation schemes - Time-Zero-Allocation (TZA), Allocate-Assess-Reallocate (AAR), and Continuous Constant Allocation (CCA) - are considered and the optimal solutions are obtained in each case. Numerical examples are given to support the analytical results.

A general treatment of two dimensional plane flows, for a micropolar fluid

In this paper we have studied the flow of a micropolar fluid, whose constitutive equations were given by Eringen, in two dimensional plane flow. In two notes, we have discussed the validity of the boundary condition v=a ω and its effect on the entire flow field. We have restricted our study to the case when Stokes' approximation is valid, i. e. slow motion for it is difficult to uncouple the equations in the most general case.

Paimen vailla hiippakuntaa : Kenttäpiispan viran synty ja vaikutus sotilaspapiston asemaan Suomen puolustusvoimissa ja kirkossa vuosina 1939 - 1944

The main purpose of this research is to shed light on the factors that gave rise to the office of Field Bishop in the years 1939-1944. How did military bishophood affect the status of the head of military pastoral care and military clergy during these years? The main sources of my research are the collections in the Finnish National Archives, and I use a historical-qualitative method. The position of the military clergy was debated within both the Church and the Defence Forces before 1939. At that stage, Church law did not yet recognize the office of the leading military priest, the Field Dean. There had been a motion in 1932 to introduce the office of a military bishop, but the bishops' synod blocked it. The concept of Field Bishop appeared for the first time in 1927 in a Finnish military document, which dealt with pastoral care in the Polish military. The Field Dean in Finland had regularly proposed improvements to the salary of the military clergy before the Winter War. After the Winter War, arguments were made for strengthening the position of the military clergy: these arguments were based on the increased respect shown towards this clergy, especially due to their role in the care of the fallen, which had become their task during the war. Younger members of the military clergy in particular supported the demands to improve their position within the Church and the army. The creation of a Field Bishop was perceived as strengthening the whole military clergy, as the Field Bishop was envisioned as a bishop within the Church and a general within the Defence Forces. During that time the Field Dean was still without any military rank. The idea of a Field Bishop was recommended to Mannerheim in June 1940, after which the Defence Forces lent their support to the cause. The status of the military clergy, in Church law, made it to the agenda of the Church council in January 1941, thanks largely to the younger priests' group influence and Mannerheim's leverage. The bishops opposed the notion of a Field Bishop mostly on theological grounds but were ready to concede that the position the Field Dean in Church law required further defining. The creation of the office of Field Bishop was blocked in the Church law committee report issued close to the beginning of the Continuation War. The onset of that war, however, changed the course of events, as the President of the Republic appointed Field Dean Johannes Björklund as Field Bishop. Speculation has abounded about Mannerheim's role in the appointment, but the truth of the matter is not clear. The title of Field Bishop was used to put pressure on the Church, and, at the same time, Mannerheim could remain detached from the matter. Later, in September 1941, the Church council approved the use of the Field Bishop title to denote the head of military pastoral care in Church law, and Field Bishops were assigned some of the duties formerly pertaining to bishops. Despite all expectations and hopes, the new office of Field Bishop did not affect the status of the military clergy within the Defence Forces, as no ranks were established for them, and their salary did not improve. However the office of the Field Bishop within Army HQ was transformed from a bureau into a department in the summer of 1942. At the beginning of the Continuation War, the Field Bishop was criticized by certain military and Church clergy for favouring Russian Orthodox Christians in Eastern Karelia. Björklund agreed in principle with most of the Lutheran clergy on the necessity of Lutheranizing East Karelia but had to take into account the realities at Army HQ. As well, at the same time the majority of the younger clergy were serving in the army, and there was a lack of parish priests on the home front. Bishop Lehtonen had actually expressed the wish that more priests could have been released from the front to serve in local parishes. In his notes Lehtonen accused Björklund of trying to achieve the position of Field Bishop by all possible means. However, research has revealed a varied group of people behind the creation of the office of Field Bishop, including in particular younger clergy and the Defence Forces.

Method for obtaining minimum noise in a general purpose hot wire amplifier

It has been shown that the conventional practice of designing a compensated hot wire amplifier with a fixed ceiling to floor ratio results in considerable and unnecessary increase in noise level at compensation settings other than optimum (which is at the maximum compensation at the highest frequency of interest). The optimum ceiling to floor ratio has been estimated to be between 1.5-2.0 ωmaxM. Application of the above considerations to an amplifier in which the ceiling to floor ratio is optimized at each compensation setting (for a given amplifier band-width), shows the usefulness of the method in improving the signal to noise ratio.

A Simple and General Strategy for the Design of Fluorescent Cation Sensor Beads

Chenodeoxycholic acid based PET sensors for alkali metal ions have been immobilized on Merrifield resin and on Tentagel. The fluorescence of the sensor beads is enhanced upon binding the cations. The modular nature of the sensor allows designing different sensors based on this concept.

Investigations of superconducting bismuth cuprates of the general formula Bi2-xPbx(Ca,Sr,Y)n 1 Cun O2n 4 δ

In the (Bi,Pb)-Sr-Cu-O system we have examined many compositions which are either metallic or semiconducting. In the Bi2-xPbx(Ca, Sr)n+1 Cun O2n+4+δ system, we have established the superconducting properties of the n = 1 to 4 members. The Tc increases from n = 1 to 3 and does not increase further when n = 4. In Bi2Ca1-x,YxSr2Cu2Oy, the Tc decreases with increase in x.

The Shannon Cipher System with a Guessing Wiretapper: General Sources

The Shannon cipher system is studied in the context of general sources using a notion of computational secrecy introduced by Merhav & Arikan. Bounds are derived on limiting exponents of guessing moments for general sources. The bounds are shown to be tight for iid, Markov, and unifilar sources, thus recovering some known results. A close relationship between error exponents and correct decoding exponents formfixed rate source compression on the one hand and exponents for guessing moments on the other hand is established.

A general thermodynamic framework for understanding the behaviour of absorption chillers

In this article, a general definition of the process average temperature has been developed, and the impact of the various dissipative mechanisms on 1/COP of the chiller evaluated. The present component-by-component black box analysis removes the assumptions regarding the generator outlet temperature(s) and the component effective thermal conductances. Mass transfer resistance is also incorporated into the absorber analysis to arrive at a more realistic upper limit to the cooling capacity. Finally, the theoretical foundation for the absorption chiller T-s diagram is derived. This diagrammatic approach only requires the inlet and outlet conditions of the chiller components and can be employed as a practical tool for system analysis and comparison. (C) 2000 Elsevier Science Ltd and IIR. All rights reserved.

A general procedure for generation of curved DNA molecules.

A general method for generation of base-pairs in a curved DNA structure, for any prescribed values of helical parameters--unit rise (h), unit twist (theta), wedge roll (theta R) and wedge tilt (theta T), propeller twist (theta p) and displacement (D) is described. Its application for generation of uniform as well curved structures is also illustrated with some representative examples. An interesting relationship is observed between helical twist (theta), base-pair parameters theta x, theta y and the wedge parameters theta R, theta T, which has important consequences for the description and estimation of DNA curvature.

Distributed nonlinear optimization algorithms for general network problems

There are a number of large networks which occur in many problems dealing with the flow of power, communication signals, water, gas, transportable goods, etc. Both design and planning of these networks involve optimization problems. The first part of this paper introduces the common characteristics of a nonlinear network (the network may be linear, the objective function may be non linear, or both may be nonlinear). The second part develops a mathematical model trying to put together some important constraints based on the abstraction for a general network. The third part deals with solution procedures; it converts the network to a matrix based system of equations, gives the characteristics of the matrix and suggests two solution procedures, one of them being a new one. The fourth part handles spatially distributed networks and evolves a number of decomposition techniques so that we can solve the problem with the help of a distributed computer system. Algorithms for parallel processors and spatially distributed systems have been described.There are a number of common features that pertain to networks. A network consists of a set of nodes and arcs. In addition at every node, there is a possibility of an input (like power, water, message, goods etc) or an output or none. Normally, the network equations describe the flows amoungst nodes through the arcs. These network equations couple variables associated with nodes. Invariably, variables pertaining to arcs are constants; the result required will be flows through the arcs. To solve the normal base problem, we are given input flows at nodes, output flows at nodes and certain physical constraints on other variables at nodes and we should find out the flows through the network (variables at nodes will be referred to as across variables).The optimization problem involves in selecting inputs at nodes so as to optimise an objective function; the objective may be a cost function based on the inputs to be minimised or a loss function or an efficiency function. The above mathematical model can be solved using Lagrange Multiplier technique since the equalities are strong compared to inequalities. The Lagrange multiplier technique divides the solution procedure into two stages per iteration. Stage one calculates the problem variables % and stage two the multipliers lambda. It is shown that the Jacobian matrix used in stage one (for solving a nonlinear system of necessary conditions) occurs in the stage two also.A second solution procedure has also been imbedded into the first one. This is called total residue approach. It changes the equality constraints so that we can get faster convergence of the iterations.Both solution procedures are found to coverge in 3 to 7 iterations for a sample network.The availability of distributed computer systems — both LAN and WAN — suggest the need for algorithms to solve the optimization problems. Two types of algorithms have been proposed — one based on the physics of the network and the other on the property of the Jacobian matrix. Three algorithms have been deviced, one of them for the local area case. These algorithms are called as regional distributed algorithm, hierarchical regional distributed algorithm (both using the physics properties of the network), and locally distributed algorithm (a multiprocessor based approach with a local area network configuration). The approach used was to define an algorithm that is faster and uses minimum communications. These algorithms are found to converge at the same rate as the non distributed (unitary) case.

The British Intervention in South Russia 1918-1920

Soon after the Bolshevik Revolution of 1917, a three-year civil war broke out in Russia. As in many other civil wars, foreign powers intervened in the conflict. Britain played a leading role in this intervention and had a significant effect on the course of the war. Without this intervention on the White side, the superiority of numbers in manpower and weaponry of the Bolsheviks would have quickly overwhelmed their opponents. The aim of this dissertation is to explain the nature and role of the British intervention on the southern, and most decisive, front of the Civil War. The political decision making in London is studied as a background, but the focus of the dissertation is on the actual implementation of the British policy in Russia. The British military mission arrived in South Russia in late 1918, and started to provide General Denikin s White army with ample supplies. General Denikin would have not been able to build his army of more than 200,000 men or to make his operation against Moscow without the British matériel. The British mission also organized the training and equipping of the Russian troops with British weapons. This made the material aid much more effective. Many of the British instructors took part in fighting the Bolsheviks despite the orders of their government. The study is based on primary sources produced by British departments of state and members of the British mission and military units in South Russia. Primary sources from the Whites, including the personal collections of several key figures of the White movement and official records of the Armed Forces of South Russia are also used to give a balanced picture of the course of events. It is possible to draw some general conclusions from the White movement and reasons for their defeat from the study of the British intervention. In purely material terms the British aid placed Denikin s army in a far more favourable position than the Bolsheviks in 1919, but other military defects in the White army were numerous. The White commanders were unimaginative, their military thinking was obsolete, and they were incapable of organizing the logistics of their army. There were also fundamental defects in the morale of the White troops. In addition to all political mistakes of Denikin s movement and a general inability to adjust to the complex situation in Revolutionary Russia, the Whites suffered a clear military defeat. In South Russia the Whites were defeated not because of the lack of British aid, but rather in spite of it.