Analysis of Some Single and Two Commodity Inventory Problems

This thesis is devoted to the study of some stochastic models in inventories. An inventory system is a facility at which items of materials are stocked. In order to promote smooth and efficient running of business, and to provide adequate service to the customers, an inventory materials is essential for any enterprise. When uncertainty is present, inventories are used as a protection against risk of stock out. It is advantageous to procure the item before it is needed at a lower marginal cost. Again, by bulk purchasing, the advantage of price discounts can be availed. All these contribute to the formation of inventory. Maintaining inventories is a major expenditure for any organization. For each inventory, the fundamental question is how much new stock should be ordered and when should the orders are replaced. In the present study, considered several models for single and two commodity stochastic inventory problems. The thesis discusses two models. In the first model, examined the case in which the time elapsed between two consecutive demand points are independent and identically distributed with common distribution function F(.) with mean  (assumed finite) and in which demand magnitude depends only on the time elapsed since the previous demand epoch. The time between disasters has an exponential distribution with parameter . In Model II, the inter arrival time of disasters have general distribution (F.) with mean  ( ) and the quantity destructed depends on the time elapsed between disasters. Demands form compound poison processes with inter arrival times of demands having mean 1/. It deals with linearly correlated bulk demand two Commodity inventory problem, where each arrival demands a random number of items of each commodity C1 and C2, the maximum quantity demanded being a (< S1) and b(

Price, profitability and employment in the handloom industry in kerala

The present study is on the nature, problems and prospects of the handloom industry in Kerala. The problems of the industry are mostly in the nature of low earnings of the workers, underutilisation of the existing capacity and low profit in its various sectors. The majority of the handloom co-operative societies are either dormant or facing liquidation. The income and employment of weavers are so pitiably low that they are living in utter poverty and starvation. Frequent price fluctuations of yarns, dyes and chemicals increase the cost of production and reduce the profitability. Consequently handloom fabrics are not able to compete with mill cloths and powerloom products. Accumulating the unsold stocks in the godowns of co-operative societies and with master weavers has become the practice of the day. Spinning mills in Kerala are producing only lower counts of yarns. S, handloom industry has to depend on textile mills in Tamil Nadu for higher counts of yarn. They create artificial scarcity and increase the prices exflorbitantly. Wage rates prevailing in Kerala are higher than those in Tamil Hadu. So rich master weavers are migrating to Tamil.Nadu and exporting the fabrics. under the label 'Kera1a Handlooms'. Governmental efforts to tackle the crisis by way of rebates and subsidies are found to be futile.