scholarly journals Multi Item Inventory Model With Demand Dependent On Unit Cost And Varying Lead Time Under Fuzzy Unit Production Cost; A Karush Kuhn Tucker Conditions Approach

2013 ◽  
Vol 2 (6) ◽  
pp. 124 ◽  
Author(s):  
P. Vasanthi
Land ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 25
Author(s):  
Congying Zhang ◽  
Qian Chang ◽  
Liqun Shao ◽  
Xuexi Huo

In the Shaanxi province, small and scattered plots impede an increase in the efficiency of apple production. Developing a moderate operation scale is a proper tool to solve inefficiencies in apple production, as it enables improving the factor allocation efficiency, resulting in higher yields, higher profit, or lower production costs. However, the moderate operation scales, based on output, profit, and production costs, may be different. This paper aimed to evaluate the moderate operation scale of apples from three perspectives of increasing yields and profits and reducing unit production cost. The study was based on survey data collected from 661 randomly selected apple farmers in eight counties of the Shaanxi province, China. The collected data were analyzed quantitatively by the input-output model, the net profit model, and unit production cost model. The findings show that: (1) The moderate operation scale oriented to increasing apple yields in the Shaanxi province should be 0.87–1.53 ha. (2) The moderate operation scale oriented to increasing the net profit of farmers in the Shaanxi province should be over 1.53 ha. (3) The moderate operation scale oriented to reducing the unit cost of apple production in the Shaanxi province should be 0.20–0.53 ha. The study provides evidence that policymakers should grasp the balance point and find the intersection of the operation scale based on output, profit, and unit production cost when guiding apple growers to carry out the moderate scale. We propose that 0.87–1.53 ha may be a suitable operation scale for apple production in the Shaanxi province at the current stage.


2017 ◽  
Vol 8 (2) ◽  
pp. 299
Author(s):  
Sahidul Islam ◽  
Wasim Akram Mandal

In this paper, an Inventory model with unit production cost, time depended holding cost, with-out shortages is formulated and solved. We have considered here a single objective inventory model. In most real world situation, the objective and constraint function of the decision makers are imprecise in nature, hence the coefficients, indices, the objective function and constraint goals are imposed here in fuzzy environment. Geometric programming provides a powerful tool for solving a variety of impreciseoptimization problem. Here we have used nearest interval approximation method to convert a triangular fuzzy number to an interval number then transform this interval number to a parametric interval-valued functional form and solve the parametric problem by geometric programming technique. Here two necessary theorems have been derived. Numerical example is given to illustrate the model through this Parametric Geometric-Programming method. 


The concept of EOQ is simply to tackle the management issues of inventory in various types of production systems. This is amongst the most popularly used models in the production houses for inventory. A major issue faced by stock manager is to design an effective policy for replacement, resulting outcome as lowest cost of inventory units. Traditional EOQ theory, assumes majorly two factors that is demand and per unit cost. It is assumed that demand remains constant and can be determined at any level. Secondly that per unit production cost does is not dependent on quantity of order for production. This study is based on a model for stock with multi-item and when per unit cost is dependent on demand and crashing cost of leading time is dependent on lead time. Hence, model has been formulated having constraints of orders and production cost. Unit cost of production is considered fuzzy variable. The jist problem for optimizing the annual total cost has been considered with Karush Kuhn-Tucker conditions method. Mathematical derivations and analysis have been made for one unit, along with testing done from Sensitivity analysis. Illustrations have been taken on random basis


2014 ◽  
Vol 2014 ◽  
pp. 1-16 ◽  
Author(s):  
M. F. Yang ◽  
Wei-Chung Tseng

This paper proposes a three-echelon inventory model with permissible delay in payments under controllable lead time and backorder consideration to find out the suitable inventory policy to enhance profit of the supply chain. In today’s highly competitive market, the supply chain management has become a critical issue in both practice and academic and supply chain members have to cooperate with each other to bring more benefits. In addition, the inventory policy is a key factor to influence the performance of the supply chain. Therefore, in this paper, we develop a three-echelon inventory model with permissible delay in payments under controllable lead time and backorder consideration. Furthermore, the purpose of this paper is to maximize the joint expect total profit on inventory model and attempt to discuss the inventory policy under different conditions. Finally, with a numerical example provided here to illustrate the solution procedure, we may discover that decision-makers can control lead time and payment time to enhance the performance of the supply chain.


Sign in / Sign up

Export Citation Format

Share Document