A Stochastic Linear Programming Model for Asset Liability Management: The Case of an Indian Insurance Company

Asset - Liability management is one of the most critical tasks for any financial institution for determining its cushion against the risk and the net returns. The problem of asset liability management for an insurance company requires matching the cash inflows from premium collections and investment income with the cash outflows due to casualty and maturity claims. Thus, what is required is a prudent investment strategy such that the returns earned on the assets match the liability claims at all points of time in future. Conventionally, the asset allocation has been done using the Mean Variance approach due to Markowitz (1952, 1959). While such a strategy ensures that the asset value always match or are greater than the liability for the next year, it does not maximise the net worth of the firm nor does it take care of all the cash inflows and outflows over a long term period. A stochastic linear programming model (on the lines of Pirbhai, 2004) maximises the net worth of the firm and also takes care of the uncertainties. While there are instances of stochastic linear programming being applied for ALM in financial institutions in developed markets, no such practical application has been reported in this area in Indian context as yet. In this paper, we describe the development of a multi stage stochastic linear programming model for insurance companies. The multi-stage stochastic linear programming model was developed on the modelling language AMPL (Fourer, 2002).

Fixed Point Theorems in Random Fuzzy Metric Space Through Rational Expression

In the present paper we will find some fixed point theorems in random fuzzy metric space, random fuzzy 2-metric space and random fuzzy 3-metric space through rational expression.Also we will find the results forintegral type mapping

Some Fixed Point Result in Metric Spaces for Rational Expression

In the present paper we establish some fixed point theorems in complete metric space taking rational expression. Our Result Generalize the result of many authors. Key words: Fixed point, common fixed point, rational expression

A Common Fixed Point of Integral Type Contraction in Generalized Metric Spacess

In this paper, we present a common fixed point theorem for two self-mappings satisfying a contractive condition of integral type in G- metric spaces. Our result generalizes some well-known results

Incorporating Ion-Specific van der Waals and Soft Repulsive Interactions in the Poisson-Boltzmann Theory of Electrical Double Layers

Electrical double layers (EDLs) arise when an electrolyte is in contact with a charged surface, and are encountered in several application areas including batteries, supercapacitors, electrocatalytic reactors, and colloids. In the modeling of EDLs, a prominent knowledge gap has been the exclusion of van der Waals (vdW) and soft repulsive interactions in modified Poisson-Boltzmann (PB) theories. Although more short-ranged as compared to electrostatic interactions, we show here that vdW interactions can play an important role in determining the structure of the EDL via the formation of a Stern layer and in modulating the differential capacitance of an electrode in solution. To this end, we incorporate ion-ion and wall-ion vdW attraction and soft repulsion via a 12-6 Lennard-Jones (LJ) potential, resulting in a modified PB-LJ approach. The wall-ion LJ interactions were found to have a significant effect on the electrical potential and concentration profiles, especially close to the wall. However, ion-ion LJ interactions do not affect the EDL structure at low bulk ion concentrations (< 1 M). We also derive dimensionless numbers to quantify the impact of ion-ion and wall-ion LJ interactions on the EDL. Furthermore, in the pursuit of capturing ion-specific effects, we apply our model by considering various combinations of ions. We observe how varying parameters such as the electrolyte concentration and electrode potential affect the structure of the EDL due to the competition between ion-specific LJ and electrostatic interactions. Lastly, we show that the inclusion of vdW and soft repulsion interactions as well as hydration effects lead to a better qualitative agreement of the PB models with experimental double-layer differential capacitance data. Overall, the modified PB-LJ approach presented herein will lead to more accurate theoretical descriptions of EDLs in various application areas

Blessing Nonvital Tooth with Life through Revascularization

In recent times, revascularization has been found to be a better&nbsp;alternative in treatment of immature, nonvital tooth with blunderbuss&nbsp;canal since, it enables formation of root apex radiographically&nbsp;which allows the clinician to get a better hermeatic&nbsp;seal in the apical area. Success of the treatment also dependsgreatly upon the disinfection of the canal, which is achieved&nbsp;not only by the use of intracanal irrigants, but also with the use&nbsp;of intracanal medicaments like triple antibiotic paste, which is&nbsp;followed by getting a good coronal seal to prevent orthograde&nbsp;infection during the procedure. However, long-term prognosisof the treatment and the tissue occupying the canal space&nbsp;requires further investigatio

A Fixed Point Theorem for Weakly C - Contraction Mappings of Integral Type

In the present paper, we shall prove a fixed point theorem by using generalized weak C- contraction of integral type. Our result is generalization of  very known results. Key words: Metric space, fixed point, weak C- contraction. AMS Subject Classification: 54H2

Coupled Fixed Point Theorem in Partially Ordered Metric Spaces

The present paper deals with some Coupled fixed point theorem for mapping having mixed monotone property in Partially Ordered Metric space. AMS Subject Classification: 47H10, 54H25. Keywords: fixed point, mixed monotone property,coupled fixed point

Some Fixed Point Theorems in Metric Space by using Altering Distance function

In this paper we prove some fixed point theorem in metric space by using altering distance function. AMS Subject Classification: 47H10, 54H25. Keywords: Metric space, fixed point, common fixed point, altering distance function

Software Test Case Generation Tools and Techniques: A Review

Software Industry is evolving at a very fast pace since last two decades. Many software developments, testing and test case generation approaches have evolved in last two decades to deliver quality products and services. Testing plays a vital role to ensure the quality and reliability of software products. In this paper authors attempted to conduct a systematic study of testing tools and techniques. Six most popular e-resources called IEEE, Springer, Association for Computing Machinery (ACM), Elsevier, Wiley and Google Scholar to download 738 manuscripts out of which 125 were selected to conduct the study. Out of 125 manuscripts selected, a good number approx. 79% are from reputed journals and around 21% are from good conference of repute. Testing tools discussed in this paper have broadly been divided into five different categories: open source, academic and research, commercial, academic and open source, and commercial & open source. The paper also discusses several benchmarked datasets viz. Evosuite 10, SF100 Corpus, Defects4J repository, Neo4j, JSON, Mocha JS, and Node JS to name a few. Aim of this paper is to make the researchers aware of the various test case generation tools and techniques introduced in the last 11 years with their salient features