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21
Models for production planning under uncertainty: A review
 INT. J. PRODUCTION ECONOMICS 103 (2006) 271–285
, 2006
"... The consideration of uncertainty in manufacturing systems supposes a great advance. Models for production planning which do not recognize the uncertainty can be expected to generate inferior planning decisions as compared to models that explicitly account for the uncertainty. This paper reviews some ..."
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The consideration of uncertainty in manufacturing systems supposes a great advance. Models for production planning which do not recognize the uncertainty can be expected to generate inferior planning decisions as compared to models that explicitly account for the uncertainty. This paper reviews some of the existing literature of production planning under uncertainty. The research objective is to provide the reader with a starting point about uncertainty modelling in production planning problems aimed at production management researchers. The literature review that we compiled consists of 87
Multicriteria ranking of inventory replenishment policies in the presence of uncertainty in customer demand
 International Journal of Production Economics
, 1996
"... presence of uncertainty in customer demand ..."
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Fuzzy Inventory Model for Deteriorating Items with Shortages under Fully Backlogged Condition
"... Abstract — In this paper, a fuzzy inventory model for deteriorating items with shortages under fully backlogged condition is formulated and solved. Deterioration rate and demand are assumed to be constant. Shortages are allowed and assumed to be fully backlogged. Fuzziness is introduced by allowing ..."
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Abstract — In this paper, a fuzzy inventory model for deteriorating items with shortages under fully backlogged condition is formulated and solved. Deterioration rate and demand are assumed to be constant. Shortages are allowed and assumed to be fully backlogged. Fuzziness is introduced by allowing the cost components (holding cost, shortage cost, etc.), demand rate and the deterioration. In fuzzy environment, all related inventory parameters are assumed to be trapezoidal fuzzy numbers. The purpose of this paper is to minimize the total cost function in fuzzy environment. A numerical example is given in order to show the applicability of the proposed model. The convexity of the cost function is shown graphically. Sensitivity analysis is also carried out to detect the most sensitive parameters of the system. From sensitivity analysis, we show that the total cost function is extremely influenced by the holding cost, demand rate and the shortage cost. Keywords—Inventory model, Trapezoidal fuzzy number, Fuzzy demand, Fuzzy deterioration.
Supply chain outsourcing risk using an integrated stochasticfuzzy optimization approach.
 Information Sciences,
, 2013
"... a b s t r a c t A stochastic fuzzy multiobjective programming model is developed for supply chain outsourcing risk management in presence of both random uncertainty and fuzzy uncertainty. Utility theory is proposed to treat stochastic data and fuzzy set theory is used to handle fuzzy data. An algo ..."
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a b s t r a c t A stochastic fuzzy multiobjective programming model is developed for supply chain outsourcing risk management in presence of both random uncertainty and fuzzy uncertainty. Utility theory is proposed to treat stochastic data and fuzzy set theory is used to handle fuzzy data. An algorithm is designed to solve the proposed integrated model. The new model is solved using the proposed algorithm for a three stage supply chain example. Computation suggests an analysis of risk averse and procurement behavior, which indicates that a more riskaverse customer prefers to order less under uncertainty and risk. Tradeoff game analysis yields supported points on the tradeoff curve, which can help decision makers to identify proper weighting scheme where Pareto optimum is achieved to select preferred suppliers.
On the Economic Lot Scheduling Problem with Fuzzy Demands
"... Abstract⎯In this paper, we investigate the economic lot scheduling problem (ELSP) with fuzzy demands. We assume that the demand for each product i can be approximated using some triangular membership functions. In this study, we solve the fuzzy ELSP using two basic solution approaches, namely, the I ..."
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Abstract⎯In this paper, we investigate the economic lot scheduling problem (ELSP) with fuzzy demands. We assume that the demand for each product i can be approximated using some triangular membership functions. In this study, we solve the fuzzy ELSP using two basic solution approaches, namely, the Independent Solution (IS) and the Common Cycle (CC) approach. For both approaches, we derive the optimal fuzzy replenishment cycles and secure closedform formula for their crisp figures in fuzzy sense, respectively. Also, we derive the conditions that assert the CC approach to secure the optimal solution for the fuzzy ELSP in many realistic situations. For the cases that deviate from those optimalsituations, we give an upper bound for the maximum error of the solution of the CC approach from optimality. A 10product example demonstrates how to secure the solutions for the IS and the CC approach for the fuzzy ELSP, and illustrates the error bound of the CC approach.
Fuzzy inventory with backorder defuzzification by signed distance method
 Journal of Information Science and Engineering
"... In this paper, we consider fuzzy inventory with backorder. First, we fuzzify the storing cost a, backorder cost b, cost of placing an order c, total demand r, order quantity q, and shortage quantity s as the triangular fuzzy numbers in the total cost. From these, we can obtain the fuzzy total cost. ..."
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Cited by 1 (1 self)
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In this paper, we consider fuzzy inventory with backorder. First, we fuzzify the storing cost a, backorder cost b, cost of placing an order c, total demand r, order quantity q, and shortage quantity s as the triangular fuzzy numbers in the total cost. From these, we can obtain the fuzzy total cost. Using the signed distance method to defuzzify, we get the estimate of the total cost in the fuzzy sense. Two special cases of the optimal solutions on fuzzifying the storage quantity and order quantity as triangular fuzzy numbers will be treated numerically by the NedlerMead algorithm.
Fuzzy Inventory Model for Deteriorating Items with Time Dependent Demand and
"... In this paper we developed a fuzzy inventory model for deteriorating items with time dependent demand rate. Shortages are allowed and completely backlogged. The backlogging rate of unsatisfied demand is assumed to be a decreasing exponential function of waiting time. The demand rate, deterioration ..."
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In this paper we developed a fuzzy inventory model for deteriorating items with time dependent demand rate. Shortages are allowed and completely backlogged. The backlogging rate of unsatisfied demand is assumed to be a decreasing exponential function of waiting time. The demand rate, deterioration rate and backlogging rate are assumed as a triangular fuzzy numbers. The purpose of our study is to defuzzify the total profit function by signed distance method and centroid method. Further a numerical example is also given to demonstrate the developed crisp and fuzzy models. A sensitivity analysis is also given to show the effect of change of the parameters.
A Fuzzy Inventory System with Deteriorating Items under Supplier Credits Linked to Ordering Quantity
"... The inventory problem associated with trade credit is a popular topic in which interest income and interest payments are important issues. Most studies related to trade credit assume that the interest rate is both fixed and predetermined. However, in the real market, many factors such as financial ..."
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The inventory problem associated with trade credit is a popular topic in which interest income and interest payments are important issues. Most studies related to trade credit assume that the interest rate is both fixed and predetermined. However, in the real market, many factors such as financial policy, monetary policy and inflation, may affect the interest rate. Moreover, within the environment of merchandise storage, some distinctive factors arise which ultimately affect the quality of products such as temperature, humidity, and storage equipment. Thus, the rate of interest charges, the rate of interest earned, and the deterioration rate in a real inventory problem may be fuzzy. In this paper, we deal with these three imprecise parameters in inventory modeling by utilizing the fuzzy set theory. We develop the fuzzy inventory model based on Chang et al.’s [1] model by fuzzifying the rate of interest charges, the rate of interest earned, and the deterioration rate into the triangular fuzzy number. Subsequently, we discuss how to determine the optimal ordering policy so that the total relevant inventory cost, in the fuzzy sense, is minimal. Furthermore, we show that Chang et al.’s [1] model (the crisp model) is a special case of our model (the fuzzy model). Finally, numerical examples are provided to illustrate these results.
Open Access A NonRandom Optimization Approach to a Disposal Mechanism Under Flexibility and Reliability Criteria
"... Abstract: This paper focuses on an optimal disposal mechanism by extending the work of Tripathy et al. [11] to consider the system cost as fuzzy under flexibility and reliability criteria. It has been observed that by using a nonrandom optimization technique the derived disposal plan may result in ..."
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Abstract: This paper focuses on an optimal disposal mechanism by extending the work of Tripathy et al. [11] to consider the system cost as fuzzy under flexibility and reliability criteria. It has been observed that by using a nonrandom optimization technique the derived disposal plan may result in no substantial difference in the system cost between the crisp and fuzzy model. Various numerical analyses demonstrate the effectiveness of proposed method. The results of the best order size obtained by the robust study are in general, very satisfactory. Finally through numerical examples sensitivity analysis show the influence of key model parameters. Based on consistency study, fuzzy strategy is better off than that of fixed cost strategy. Through sensitivity and robust analysis the results indicate that the performance of the proposed approach is superior to that of its crisp model.
Credit financing in economic ordering policies . . .
 INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING COMPUTATIONS
, 2015
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