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We consider here the inventory problems with infinite rate of replenishment in crisp and fuzzy environments over a finite time horizon for deteriorating multi-items taking time dependent demand and allowing shortages and equal replenishment cycles. Here, the objectives of maximizing the profit and minimizing the replenishment cost are imprecise in nature. Total shortage cost is assumed to be limited...
This paper deals with two shops (primary and secondary) inventory models of deteriorating items under single management. After replenishment, fresh and deteriorated units (measured in amount) are separated first, then fresh units are stocked and sold from the primary shop with a profit, whereas the deteriorated units are continuously transferred to the secondary shop as and when they are deteriorated...
A profit maximization deteriorating multi-item inventory model with stock-dependent demand is developed in fuzzy environment. Here, the available space for inventory storage is limited, holding cost and selling price are purchasing price dependent and the rate of production is finite and uniform. The fuzzy environment is created making the inventory costs, purchasing price, storage area and the rate...
An inventory model is developed for deteriorating items with infinite rate of replenishment and time dependent linearly increasing demand over a finite time horizon. Shortages are allowed and are backlogged. The model is formulated by assuming that the successive replenishment cycle lengths are in arithmetic progression. The corresponding results for the model without shortages are derived as a particular...
Here, a multi-item, multi-objective inventory model of deteriorating items with stock and time dependent demands is formulated in fuzzy-stochastic environment with finite time horizon. In this model, it is assumed that setup cost of the items varies directly with the maximum inventory. Also, unit purchase cost is a random parameter represented by Normal distribution and the deterioration rate is imprecise...
Items made of glass, ceramics, etc. get damaged during the storage due to accumulated stress of stocked items. Inventory models of these items are developed here with finite rate of replenishment and inventory level-dependent demand. Both linear and non-linear damage and demand functions are considered, shortages are allowed and fully backlogged. Optimum order quantities are determined using the profit...
The goal of this work is to solve an interval valued multi-item solid transportation problem (MIIVSTP) with safety measure. In this paper we introduce a new concept “safety factor” in transportation problem. When items are transported from origins to destinations through different conveyances, there are some difficulties/risks to transport the items due to bad road, insurgency etc. in some routes...
In this paper, a multi-period optimal production control problem with variable preparation time is formulated and solved. Here, the rate of production is assumed to be a function of time and considered as a control variable. Also the demand is linearly stock dependent. Defective rate is taken in four forms namely constant, fuzzy, random and fuzzy-random. The presented preparation time is assumed to...
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