Both seasonal demand r and total demand R in the production inventory model are difficult to estimate precisely to actual r0 and R0 values, respectively. Hence, we will set the membership grade at r0 and R0 in an interval [λ, 1], 0 < λ < 1, and then, obtain the interval-valued fuzzy sets r̃ and R̃, respectively. For each production quantity period q, we can obtain the fuzzy total cost Gq ( r̃, R̃ )...

In this paper, fuzzy economic order quantity (EOQ) model for inventory system with partial backorder is proposed. The fuzzy total relevance cost of the model is calculated under function principle. The optimal EOQ is derived using median rule. Fuzzy variables are appropriate when the exact information is unavailable. In the proposed model, the optimal solution for the fuzzy EOQ model is higher ...

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...

It is the purpose of this paper to investigate the integrated cost minimizing strategy with supplier’s trade credits offer under fuzzy environment. Supplier permits the retailer a certain fixed period to settle the amount owed to him for the items supplied. Expressions for average integrated inventory cost in fuzzy sense are derived Signed Distance Method is used to defuzzified total fuzzy cost...

This paper presents an implementation of fuzzy-logic controller to solve the unit-commitment and economic dispatch problem of thermal generation plant with the main objective of evaluating the total minimum operating cost for each loading condition while subjected to a variety of constraints. The model in this study contains five generation units and the daily load demand is subdivided into 12 ...

In crisp production inventory problem, let q, a, b, d, R and r be the quantity produced per cycle, the holding cost, production cost, production quantity per day, the total demand quantity and the demand quantity per day, respectively. We consider three fuzzification methods. Firstly, we fuzzify q, a, b, d, R and r to triangular fuzzy numbers. Secondly, we fuzzify d and r to triangular fuzzy nu...

This paper investigates the economic order quantity (EOQ) — based inventory model for a retailer under two levels of trade credit to reflect the supply chain management situation in the fuzzy sense. It is assumed that the retailer maintains a powerful position and can obtain the full trade credit offered by the supplier yet the retailer just offers a partial trade credit to customers. The deman...

Reactive power plays an important role in supporting real power transmission, maintaining system voltages within proper limits and overall system reliability. In this paper, the production cost of reactive power, cost of the system transmission loss, investment cost of capacitor banks and absolute value of total voltage deviation (TVD) are included into the objective function of the power flow ...

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...

Abstract In this Paper a multi item EOQ model with stock dependent demand for deteriorating items is considered in fuzzy environment. Inventory costs such as holding cost and setup cost have been represented by exponential membership function and profit, deteriorating rate and total investment constraint are represented by linear membership functions. The model has been solved by fuzzy non-line...