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The IUP Journal of Computational Mathematics

June '08
Focus

Computational Mathematics deals with areas where the disciplines of Mathematics and Computer Science meet. The IUP Journal of Computational Mathematics is a new academic adventure that offers a wide variety of research papers on pioneering concepts

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An Integrated Fuzzy Approach to Assess Water Resources' Potential in a Watershed
Application of Rothe's Method to Abstract Quasi-Linear Implicit Integrodifferential Equations in Reflexive Banach Space
Selecting the Exact Location of a Substation Using Knowledge-Based Expert Systems
Some Aspects of a Class of Quasi-Binomial Distributions of Order k
A Genetic Algorithm for the Replicator Dynamics of a Single-Species Population
Performance Analysis of Soft Handoff Algorithm in CDMA Systems Using Fuzzy Logic
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An Integrated Fuzzy Approach to Assess Water Resources' Potential in a Watershed

- - Ajit Pratap Singh

Water is a critical natural resource for not only human development and the sustainability of the ecosystem, but also the economic growth of a nation. The importance of water is felt even more in the desert state of Rajasthan due to meager rainfall, adverse climatological conditions, and reduced per capita water availability, with increasing population. This paper aims to develop an integrated fuzzy assessment model which would evaluate the status of water resources development in a watershed by analyzing different factors important for river basin planning and management. Further, a case study of a watershed, which comes under the Banas river basin in the Chittorgarh district of Rajasthan, has been undertaken for the evaluation of the status of water resources development in different sub-regions (tehsils) of the district. The above model will clearly demonstrate the status of water carrying capacity of sub-regions (tehsils) of the Chittorgarh district of Rajasthan for assessing potential water resource development. The study concludes with an immediate need to develop a system to preserve, conserve and utilize water in an efficient manner through recycling, and by generating high social consciousness among the people, and utilizing technological advancements with active coordination and involvement of water managers and water users alike in the Chittorgarh district.

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Application of Rothe's Method to Abstract Quasi-Linear Implicit Integrodifferential Equations in Reflexive Banach Space

- - Reeta S Dubey

This paper establishes the existence, uniqueness and continuous dependence on initial data of the strong solution of an abstract quasi-linear implicit integrodifferential equation in real reflexive Banach space X, whose dual is uniformly convex, using the Rothe's method.

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Selecting the Exact Location of a Substation Using Knowledge-Based Expert Systems

- - S Ghosh and H O Bansal

This paper reports a method for substation planningthe exact location for the substation is identified from a given set of locations. The load points are connected to the substation in the optimum route using knowledge-based expert systems to avoid any obstruction between any two load points. This also reduces the overall feeder length. The optimum branch conductors are selected using the method proposed by Tram and Wall (1988) to reduce further costs. The effectiveness of the proposed method is demonstrated with the help of an example.

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Some Aspects of a Class of Quasi-Binomial Distributions of Order k

- - Rupak Gupta and Kishore K Das

Consul (1974) derived a quasi-binomial distribution (QBD) by considering a simple urn model with a predetermined strategy. Consul and Mittal (1975) derived another form of QBD, using a new predetermined strategy. Janardan (1975) discussed Markov Polya urn models dependent on a predetermined strategy. Das (1993) obtained a class of QBDs with the aid of Abel's generalization of the binomial formula and a class of generalized poisson distributions (GPDs) as a limiting form of QBDs. Following these authors, here we have obtained a class of QBDs of order k by considering Abel's generalization of the binomial formula. Further, a class of GPDs of order k is also defined as a limiting case of QBDs of order k.

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A Genetic Algorithm for the Replicator Dynamics of a Single-Species Population

- - Anmiv Prabhu, Puneet Dhakan and Sudeepto Bhattacharya

Genetic algorithms essentially form a class of non-linear search processes occurring in the study of mathematical optimization problems and exhibit remarkable analogy with the Darwinian evolution, in that the key issue in both these processes is a fitness-dependent mode of selection of strategies or traits for evolutionary propagation of the target population. Genetic algorithms are run via the three fundamental stochastic operators of selection, crossover and mutation, acting on an initial population, and then obtain the various generations assuming payoff-proportionate selection of the agents. Evolutionary game theory too studies Darwinian evolution by assuming payoff-proportionate selection of strategies. Replicator equations describe the dynamics of evolutionary game theory. In this paper, we obtain a standard genetic algorithm generated numerical simulation for the replicator dynamics of a single-species population with a constant ecosystem as the backdrop, and find that the agents with higher fitness tend to accumulate with the iterates showing an oscillatory pattern without settling to any fitness sink.

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Performance Analysis of Soft Handoff Algorithm in CDMA Systems Using Fuzzy Logic

- - Alok Aggarwal, Rajendra Prasad, Mohan Lal and Sunita Devi

Soft Handoff (SHO) is used in cellular Code Division Multiple Access (CDMA) systems. One possible method for improving the performance of conventional soft handoff is to adapt the soft handoff thresholds. In this paper, the performance of the soft handoff algorithm in CDMA systems using fuzzy logic is analyzed, and a new procedure is proposed. The proposed algorithm is compared with IS-95A and IS-95B SHOs. The proposed algorithm has two aims: to decrease the thresholds at low traffic loads so that high quality of traffic channel can be assured, and to increase the thresholds at high traffic loads so as to release the traffic channel for supporting more carried traffic. Analysis of the results shows that the proposed algorithm has better performance in terms of outage probability, blocking probability and Eb/I0 ratio, when compared to IS-95A and IS-95B SHO algorithms.

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Automated Teller Machines (ATMs): The Changing Face of Banking in India

Bank Management
Information and communication technology has changed the way in which banks provide services to its customers. These days the customers are able to perform their routine banking transactions without even entering the bank premises. ATM is one such development in recent years, which provides remote banking services all over the world, including India. This paper analyzes the development of this self-service banking in India based on the secondary data.

The Information and Communication Technology (ICT) is playing a very important role in the progress and advancement in almost all walks of life. The deregulated environment has provided an opportunity to restructure the means and methods of delivery of services in many areas, including the banking sector. The ICT has been a focused issue in the past two decades in Indian banking. In fact, ICTs are enabling the banks to change the way in which they are functioning. Improved customer service has become very important for the very survival and growth of banking sector in the reforms era. The technological advancements, deregulations, and intense competition due to the entry of private sector and foreign banks have altered the face of banking from one of mere intermediation to one of provider of quick, efficient and customer-friendly services. With the introduction and adoption of ICT in the banking sector, the customers are fast moving away from the traditional branch banking system to the convenient and comfort of virtual banking. The most important virtual banking services are phone banking, mobile banking, Internet banking and ATM banking. These electronic channels have enhanced the delivery of banking services accurately and efficiently to the customers. The ATMs are an important part of a bank’s alternative channel to reach the customers, to showcase products and services and to create brand awareness. This is reflected in the increase in the number of ATMs all over the world. ATM is one of the most widely used remote banking services all over the world, including India. This paper analyzes the growth of ATMs of different bank groups in India.
International Scenario

If ATMs are largely available over geographically dispersed areas, the benefit from using an ATM will increase as customers will be able to access their bank accounts from any geographic location. This would imply that the value of an ATM network increases with the number of available ATM locations, and the value of a bank network to a customer will be determined in part by the final network size of the banking system. The statistical information on the growth of branches and ATM network in select countries.

Indian Scenario

The financial services industry in India has witnessed a phenomenal growth, diversification and specialization since the initiation of financial sector reforms in 1991. Greater customer orientation is the only way to retain customer loyalty and withstand competition in the liberalized world. In a market-driven strategy of development, customer preference is of paramount importance in any economy. Gone are the days when customers used to come to the doorsteps of banks. Now the banks are required to chase the customers; only those banks which are customercentric and extremely focused on the needs of their clients can succeed in their business today.

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