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.

A Comparative Study Of The Organisation And Management Of Notihed Markets In Bangladesh With The Organisation And Management Of Regulated Markets In West Bengal India

For improving agricultural marketing, which has been discussed in the previous chapter, the Government has intervened in different ways. The direct regulatory role through the regulation of markets and market practices is one of the ways in which governmental intervention can improve agricultural marketing. This study is an enquiry of the direct regulatory role of the government through regulation of markets and market practices. By restructuring the operational methods and redesigning the existing physical markets, this system gives direct benefit to the cultivating class and protects them from the market manipulations of organised and powerful private traders. If traders do not continue their trade for the time being they will not be affected financially, because they are resourceful or financially solvent. On the other hand, Cultivators must sell their produce immediately after harvesting for the lack of additional facilities or to satisfy other needs for which finance is required. Another important reason is that Cultivators/farmers are not organised and because of lack of their organisation, they sell their produces individually. In this situation, a farmer is helpless when astute traders indulge in manipulations at the time of purchase of the produces. So it is the government's obligation to protect the interest of the farmers. Protection of the farmer/cultivator is necessary not only from the point of social justice but also from that of economic growth. If the farmers are assured of a remunerative or incentive price for their produce, they will get the inspiration to produce more and through more production, economy will be developed and the nation as a whole will be benefitted. This study will examine the management system of the markets through the direct regulatory role played by the governments to control markets and market practices in West Bengal and Bangladesh.

Analysis of Some Stochastic Inventory Models with Pooling/ Retrial of Customers

In this thesis we have presented several inventory models of utility. Of these inventory with retrial of unsatisfied demands and inventory with postponed work are quite recently introduced concepts, the latt~~ being introduced for the first time. Inventory with service time is relatively new with a handful of research work reported. The di lficuity encoLlntered in inventory with service, unlike the queueing process, is that even the simplest case needs a 2-dimensional process for its description. Only in certain specific cases we can introduce generating function • to solve for the system state distribution. However numerical procedures can be developed for solving these problem.