In this paper we consider the inventory problem with backorder such that both order and total demand quantities are triangular fuzzy numbers Q̃ = (q1, q0, q2), and R̃ = (r1, r0, r2) respectively, where q1 = q0−Δ1, q2 = q0+Δ2,r1 = r0−Δ3, r2 = r0+Δ4 such that 0 < Δ1 < q0, 0 < Δ2, 0 < Δ3 < r0, 0 < Δ4. Let s denote the maximum inventory quantity. Under conditions s ≤ q1 < q0 < q2 < r1 < r0 < r2, we f...

Inventory management is an important part of production planning process for enterprises. Decisions for strategies to determine when and how many to buy or make can be made by classifying the inventory items based on their sorts. In this evaluation, ABC inventory classification is one of the most commonly used approaches. In this study, a fuzzy analytic network process approach was proposed to ...

This paper proposes the strategy of optimizing constrained multi-item inventory problems under fuzzy environment using a Genetic Algorithm (GA). The GA is used in the sense that it is computationally simple yet powerful in its search for improvement. The typical inventory analysis is sensitive to reasonable errors in the measurement of relevant inventory costs. Therefore the inventory costs are...

In this paper, we consider a network of supplier, producer, retailer and customer which synchronizes a series of inter-related business process in terms of integrated supply chain production inventory model. The whole system is considered for a finite time period with imprecise inventory costs. There are imprecise chance constraints on the transportation costs for both producer, retailer and al...

This paper considers a probabilistic inventory model with uniform leadtime demand and fuzzy cost components under probabilistic and imprecise constraints. Firstly we solve the model by general fuzzy non-linear programming technique. Then intuitionistic fuzzy optimization technique is applied and finally, regarding the optimization of the objective function a comparative study is presented among...

The purpose of this paper is to extend [Ouyang, L. Y., Chuang, B. R. (2001). A periodic review inventory-control system with variable lead time. International Journal of Information and Management Sciences, 12, 1–13] periodic review inventory model with variable lead time by considering the fuzziness of expected demand shortage and backorder rate. We fuzzify the expected shortage quantity at th...

Here, 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, demand rate and the deterioration. In fuzzy environment, all related inventory parameters are as...

Inventory management studies to minimize the average total cost per unit time and to determine the quantity of the stocked material to be ordered. In this paper the demand follows normal distributive under deterministic, stochastic and mixed environment, respectively and thus the model becomes more realistic. Expected annual cost is measured, with varying defective rate. After that the item wis...

this study considers an eoq inventory model with advance payment policy in a fuzzy situation by employing two types of fuzzy numbers that are trapezoidal and triangular. two fuzzy models are developed here. in the first model the cost parameters are fuzzified, but the demand rate is treated as crisp constant. in the second model, the demand rate is fuzzified but the cost parameters are treated ...

The correlated demand caused by cross-selling, Zhang et al (2011) proposed a two-item EOQ model, where the unmet demand for the major item can be partially backordered with lost sales that will reduce demand for the minor item. They developed an enumeration algorithm that can deal with only one minor associated item. Zhang et al (2011) proposed the partial backordering EOQ with correlated deman...