Queues with postponed work under N-policy

Department of Mathematics, Cochin University of Science and Technology

Analysis of Some Stochastic Inventory Models with Pooling Retrial of Customers

The thesis deals with analysis of some Stochastic Inventory Models with Pooling/Retrial of Customers.. In the first model we analyze an (s,S) production Inventory system with retrial of customers. Arrival of customers from outside the system form a Poisson process. The inter production times are exponentially distributed with parameter µ. When inventory level reaches zero further arriving demands are sent to the orbit which has capacity M(<∞). Customers, who find the orbit full and inventory level at zero are lost to the system. Demands arising from the orbital customers are exponentially distributed with parameter γ. In the model-II we extend these results to perishable inventory system assuming that the life-time of each item follows exponential with parameter θ. The study deals with an (s,S) production inventory with service times and retrial of unsatisfied customers. Primary demands occur according to a Markovian Arrival Process(MAP). Consider an (s,S)-retrial inventory with service time in which primary demands occur according to a Batch Markovian Arrival Process (BMAP). The inventory is controlled by the (s,S) policy and (s,S) inventory system with service time. Primary demands occur according to Poissson process with parameter λ. The study concentrates two models. In the first model we analyze an (s,S) Inventory system with postponed demands where arrivals of demands form a Poisson process. In the second model, we extend our results to perishable inventory system assuming that the life-time of each item follows exponential distribution with parameter θ. Also it is assumed that when inventory level is zero the arriving demands choose to enter the pool with probability β and with complementary probability (1- β) it is lost for ever. Finally it analyze an (s,S) production inventory system with switching time. A lot of work is reported under the assumption that the switching time is negligible but this is not the case for several real life situation.

Stochastic Modelling Using Markov Chains

Department of Statistics, Cochin University of Science and Technology

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.

Studies on Inventory with Positive Service Time Under Local Purchase Driven by N/T- Policy

In this thesis, certain continuous time inventory problems with positive service time under local purchase guided by N/T-policy are analysed. In most of the cases analysed, we arrive at stochastic decomposition of system states, that is, the joint distribution of the system states is obtained as the product of marginal distributions of the components. The thesis is divided into ve chapters