This paper deals with a comparison between inventory followed by shortages model and shortages followed by inventory model with variable demand rate. It is assumed that the stock deteriorates over time which follows a...
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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 tha...
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 in nature and defined by a trapezoidal fuzzy number. The model is reduced to an equivalent deterministic model using chance constrained and graded mean integration representation techniques. Single objective E- and V-models are solved using generalized reduced gradient (GRG) technique and multi-objective E-V model is solved by Augmented Fuzzy Max-Min Approach. The models are illustrated numerically.
Introducing neuro-fuzzy concept in decision making problems, makes a new way in artificial intelligence and expert systems. Sometimes, neural networks are used to optimize certain performances. In general, knowledge a...
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In this paper combining the features of swap sequence and swap operation based Particle Swarm Optimization (PSO), Ant Colony Optimization (ACO) and K-Opt operation a hybrid algorithm is proposed to solve well known Tr...
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This paper presents a new approach to predict the quality of polypropylene in petrochemical plants. The proposed approach constructs four different models, based on a large number of data collected from a renowned pet...
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In this paper, we investigate six new transportation models with breakability and vehicle cost under some restriction on transported amount. An extra constraint on the total budget at each destination is imposed. Here...
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In this paper, we investigate six new transportation models with breakability and vehicle cost under some restriction on transported amount. An extra constraint on the total budget at each destination is imposed. Here six models are formulated under different environments such as crisp, stochastic and fuzzy. Using expected value of fuzzy number and chance constraint programming technique, we convert the respective fuzzy and random Models into its crisp equivalent. To get the preference of the objective function, we apply weighted sum method and a gradient based optimisation technique-generalised reduced gradient (GRG) method are applied and using LINGO-13 software to get the optimal solutions.
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 ...
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 but vague and imprecise in non-stochastic sense. The impreciseness in the above objectives’ and constraint’ goals have been expressed by fuzzy linear Membership Functions (MFs). Under these assumptions, a Decision Maker (DM) is confronted with four possibilities depending upon the nature of the first and last cycles and he/she has to choose the best one for maximum profit-ratio (i.e. the ratio of total profit to total cost). Hence, both crisp and fuzzy models with different shortage criteria are developed and solved by the weighted fuzzy non-linear programming (WFNLP) and goal attainment methods (GAM). Fuzzy models have also been solved by an integrated goal attainment and fuzzy non-linear programming technique (GAFNLP). Models are illustrated with numerical examples and the results are compared.
A manufacturing inventory model with shortages with carrying cost, shortage cost, setup cost and demand quantity as imprecise numbers, instead of real numbers, namely interval number is considered here. First, a brief...
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A manufacturing inventory model with shortages with carrying cost, shortage cost, setup cost and demand quantity as imprecise numbers, instead of real numbers, namely interval number is considered here. First, a brief survey of the existing works on comparing and ranking any two interval numbers on the real line is presented. A common algorithm for the optimum production quantity (Economic lot-size) per cycle of a single product (so as to minimize the total average cost) is developed which works well on interval number optimization under consideration. Finally, the designed algorithm is illustrated with numerical example.
In this manuscript, an Economic production quantity (EPQ) model have been formulated for deteriorating items under partial trade credit policy with crisp and fuzzy demand. For fuzzy demand we take demand as a triangul...
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In this manuscript, an Economic production quantity (EPQ) model have been formulated for deteriorating items under partial trade credit policy with crisp and fuzzy demand. For fuzzy demand we take demand as a triangular fuzzy number & we consider upper α 1 − cut & lower α 1 − cut of this fuzzy number. Then the annual inventory cost of retailer is divided into two parts upper α 1 − cut of annual inventory cost & lower α 1 − cut of annual inventory cost. We use weighted sum method to convert multi objective to a single objective. Here we have to derive optimum cycle time so as to minimize the total average cost. Numerical examples are used to illustrate all results obtained in this paper. Finally the model is solved by Generalized Reduced Gradient(GRG) method and using LINGO(12) software.
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 ...
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 of deterioration imprecise and vague to certain extent. The impreciseness of these parameters are expressed by linear and non-linear membership functions. The fuzzy model is solved by fuzzy non-linear programming (FNLP) method and illustrated with a numerical example. The results of the fuzzy model are compared with those of the crisp model. Parametric study of the model and its sensitivity with respect to some parameters are presented.
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