Inventory Models

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  • In this paper, three level production inventory models for deteriorative items are considered under the variation in production rate. Namely, it is possible that production started at one rate, after some time, switches to another rate. Such a situation is desirable in the sense that by starting at a low rate of production, a large quantum stock of manufacturing items at the initial stage are avoided, leading to reduction in the holding cost.

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  • This study develops an inventory model to determine ordering policy for deteriorating items with constant demand rate under inflationary condition over a fixed planning horizon. Shortages are allowed and are partially backlogged. In today’s wobbling economy, especially for long term investment, the effects of inflation cannot be disregarded as uncertainty about future inflation may influence the ordering policy.

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  • In this paper, we develop an inventory model for non-instantaneous deteriorating items under the consideration of the facts: deterioration rate can be controlled by using the preservation technology (PT) during deteriorating period, and holding cost and demand rate both are linear function of time, which was treated as constant in most of the deteriorating inventory models.

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  • This note tries to provide a patch work for the paper of Chang Dye and Chuang. Their paper contains an important finding of smoothly connected property that can very dramatically simplify the solution procedure of many inventory models with ramp type demand and trapezoidal type demand. Our improvement will arouse attention of the researchers and help them apply their important findings in the pending research projects.

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  • Deterministic inventory model with two levels of storage has been studied by numerous authors. In this paper we developed a fuzzy inventory model with two ware houses (one is the existing storage known as own warehouse (OW) and the other is hired on rental basis known as rented warehouse (RW). The model allows constant levels of item deterioration in both houses.

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  • In the present article, a production-inventory model is developed over a finite planning horizon where the demand varies linearly with time. The machine production rate is assumed to be finite and constant. Shortages in inventory are allowed and are completely backlogged. The associated constrained minimization problem is numerically solved. Sensitivity analysis is also presented for the given model.

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  • In this present paper an inventory model is developed with ramp type demand, starting with shortage and three – parameter Weibull distribution deterioration. A brief analysis of the cost involved is carried out by an example.

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  • In this paper, an EOQ inventory model is depleted not only by time varying demand but also by Weibull distribution deterioration, in which the inventory is permitted to start with shortages and end without shortages. A theory is developed to obtain the optimal solution of the problem; it is then illustrated with the aid of several numerical examples.

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  • In this paper, two stocks, for fresh and the returned things, are considered for the efficient stock management. Hence, we give two models: The first is for nonperishable and the second for perishable things. In addition, inventories kept in the stock may lose their fairly estimated worth, which we additionally viewed in model-II, for example, PC and versatile embellishments, or most current engine autos.

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  • This paper is an attempt to develop an economic production quantity model using optimization method for deteriorating items with production disruption. We obtained optimal production time before and after the system gets disrupted. We have also devised the model for optimizing the shortage of the products.

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  • The model has been formulated as a fuzzy stochastic programming problem and reduced to corresponding equivalent fuzzy linear programming problem. The model has been solved by using fuzzy linear programming technique and illustrated numerically.

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  • The rented warehouse is provided with better facility for the stock than the owned warehouse, but is charged more. The objective of this model is to find the best replenishment policies for minimizing the total appropriate inventory cost. A numerical illustration and sensitivity analysis are provided.

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  • In this article, we study inventory models to determine the optimal special order and maximum saving cost of imperfective items when the supplier offers a temporary discount. The received items are not all perfect and the defectives can be screened out by the end of 100% screening process. Three models are considered according to the special order that occurs at regular replenishment time, non-regular replenishment time, and screening time of economic order quantity cycle.

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  • In this paper we study a periodic review inventory model with stock dependent demand. When stock on hand is zero, the inventory manager offers a price discount to customers who are willing to backorder their demand. Permissible delay in payments allowed to the inventory manager is also taken into account. Numerical examples are cited to illustrate the model.

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  • In this paper, we have modeled a business process which starts with shortage of deteriorating items. After a duration managers have freedom to order the stock of assurance of committed customers. There are many products that follow logarithmic demand pattern, so in this paper we incorporate it with the shortage of items at the beginning. A new model is developed to obtain the optimal solution for such type of market situation and have obtained some valuable results.

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  • This paper is an extension of Deng et al. (2007) that was published in the European Journal of Operational Research. We have generalized their model from ramp type demand to arbitrary positive demand while theoretically discovering an important phenomenon: The optimal solution is actually independent of the demand as pointed out by Wou (2010), Hung (2011) and Lin (2011).

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  • In this paper, we derive a partial backlogging inventory model for non-instantaneous deteriorating items with stock-dependent demand rate under inflation over a finite planning horizon. We propose a mathematical model and theorem to find minimum total relevant cost and optimal order quantity. Numerical examples are used to illustrate the developed model and the solution process. Finally, a sensitivity analysis of the optimal solution with respect to system parameters is carried out.

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  • This paper deals with the problem of determining the optimal selling price and order quantity simultaneously under EOQ model for deteriorating items. It is assumed that the demand rate depends not only on the on-display stock level but also the selling price per unit, as well as the amount of shelf/display space is limited. We formulate two types of mathematical models to manifest the extended EOQ models for maximizing profits and derive the algorithms to find the optimal solution.

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  • This paper develops a finite time-horizon fuzzy multi-deteriorating inventory model with/without shortage, where the demand increases linearly with time. Here, the total profit is to be maximized under the limitation on investment. In this problem, total profit, total investment cost and the time-horizon are fuzzy in nature. The impreciseness in the above objective and constraint goals have been expressed by fuzzy linear/nonlinear membership functions and vagueness in time-horizon by different types of fuzzy numbers. Results are illustrated with numerical examples.

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  • In this paper, a multi-item inventory model with space constraint is developed in both crisp and fuzzy environment. A profit maximization inventory model is proposed here to determine the optimal values of demands and order levels of a product. Selling price and unit price are assumed to be demand-dependent and holding and set-up costs sock dependent. Total profit and warehouse space are considered to be vague and imprecise. The impreciseness in the above objective and constraint goals has been expressed by fuzzy linear membership functions.

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