Stochastic Modelling Using Markov Chains

Department of Statistics, Cochin University of Science and Technology

ON (s,S) inventory policy with/without retrial and interruption of services/production

In this thesis we have developed a few inventory models in which items are served to the customers after a processing time. This leads to a queue of demand even when items are available. In chapter two we have discussed a problem involving search of orbital customers for providing inventory. Retrial of orbital customers was also considered in that chapter; in chapter 5 also we discussed retrial inventory model which is sans orbital search of customers. In the remaining chapters (3, 4 and 6) we did not consider retrial of customers, rather we assumed the waiting room capacity of the system to be arbitrarily large. Though the models in chapters 3 and 4 differ only in that in the former we consider positive lead time for replenishment of inventory and in the latter the same is assumed to be negligible, we arrived at sharper results in chapter 4. In chapter 6 we considered a production inventory model with production time distribution for a single item and that of service time of a customer following distinct Erlang distributions. We also introduced protection of production and service stages and investigated the optimal values of the number of stages to be protected.

Analysis of Some Queueing Models Related To N-Policy: Operations Research

This study is about the analysis of some queueing models related to N-policy.The optimal value the queue size has to attain in order to turn on a single server, assuming that the policy is to turn on a single server when the queue size reaches a certain number, N, and turn him off when the system is empty.The operating policy is the usual N-policy, but with random N and in model 2, a system similar to the one described here.This study analyses “ Tandem queue with two servers”.Here assume that the first server is a specialized one.In a queueing system,under N-policy ,the server will be on vacation until N units accumulate for the first time after becoming idle.A modified version of the N-policy for an M│M│1 queueing system is considered here.The novel feature of this model is that a busy service unit prevents the access of new customers to servers further down the line.It is deals with a queueing model consisting of two servers connected in series with a finite intermediate waiting room of capacity k.Here assume that server I is a specialized server.For this model ,the steady state probability vector and the stability condition are obtained using matrix – geometric method.

Wage policy in Indian industries

India is on the threshold of industrial and economic development. The growth would be retarded if harmonious employer-employee relations are not maintained. 'Wages' plays a fundamental role in establishing this relationship. However, much controversy in the industrial sphere revolves round the question of wages. Though formerly the laissez faire doctrine prevailed, with the emergence of the welfare state ideology, notions of national economy and social justice gained prominence. The problem of wages has became one with social, political, economic, psychological and legal dimensions. Formulation of a proper wage policy is thus a riddle. Realities of the present have to be fused with perspectives about the future. With due recognition of all significant factors, a proper balance has to be struck, which should be the hard core of any wage policy. This study emphasises the need for a wage policy which may meet the requirements of rapid economic growth and stable industrial relations. The study also indicates the proper bases for the promotien of such a policy.

”Public Health Protection through Air Quality Controls”

Health is an important aspect of everybody’s life. Today, there is an increasing recognition and commitment to the pursuit of health both within government and beyond. Any attempt on the part of the " State to protect and promote people’s health, in turn, must be accompanied by effective controls on air quality, as air constitutes ‘ one of the important elements of man’s life and the consequences of air pollution covers a very wide spectrum ranging from material ---damage to personal discomfort and illness. The broad social and economic objectives adumbrated in the Directive Principles of State Policy including the commitment to improve public health underlying in Article 47 and the obligation to preserve and protect-the natural environment cast under Article 48A of the Constitution are being used as versatile weapons by the State to regulate the public health scenario. Preservation and maintenance of air quality is a significant area within the sphere of public health, where the regulatory arm of the law is not adequately touched and in this arena urgent State intervention through legislative and administrative action is called for in the well-being of the society. Judiciary also plays a pivotal role in this arena in the larger interest of the society and for the benefit of the present and future generations. The research study is an attempt to analyze how far the existing legal system, for maintaining air quality and in controlling air pollution, is effective in protecting public health. The study also analyzes the limitations of the control mechanisms. The study focuses on industrial air pollution, indoor and personal air pollution, vehicular pollution and noise pollution which are today appearing as the major public health hazards affecting the air quality. However, this is not to overlook the importance of controls required under other areas of public health.