scholarly journals A FUZZY PROGRAMMING APPROACH TO INVENTORY CONTROL PROBLEM

2021 ◽  
Vol 9 (2) ◽  
pp. 13-17
Author(s):  
Neha Kumari ◽  
A. P. Burnwal
Keyword(s):  
Geometric Programming ◽  
Fuzzy Programming ◽  
Programming Algorithm ◽  
Programming Approach ◽  
Single Item ◽  
Holding Cost ◽  
Storage Area ◽  
Inventory Control Problem ◽  
Set Up ◽  
The Cost

Purpose of study: Main aim of this study is to deals with the problem of inventories. Their holding cost, set-up cost, and many more related to that. All the problems are flexible and having fuzzy nature. Methodology: The model takes the form of a Geometric Programming problem. Hence geometric programming algorithm is used here. Main Finding: The developed models may be used for a single item with a single constraint of limitation on storage area and multi-item inventory problems. Application of this study: This study is useful in the area of inventories. There holding cost and set-up cost etc. The originality of this study: This study may help the stockholders for storing goods and minimizing the cost of holding.

MATHEMATICAL MODEL FOR INVENTORY CONTROL PROBLEM USING IMPRECISE PARAMETERS

2018 ◽  
Vol 6 (2) ◽  
pp. 07-12
Author(s):  
Neha Kumari ◽  
Manoj Kumar Mandal ◽  
Arun Prasad Burnwal
Keyword(s):  
Control Problem ◽  
Inventory Control ◽  
Geometric Programming ◽  
Programming Model ◽  
Holding Costs ◽  
Fuzzy Membership Functions ◽  
Inventory Control Problem ◽  
Set Up ◽  
Inventory Holding ◽  
Imprecise Parameters

In this paper, an inventory control problem is discussed using imprecise parameters. The fusion of geometric programming and fuzzy logic is used as imprecise parameters to solve inventory control problems. In inventory, holding costs, set-up costs, etc. may be flexible due to vague information. Fuzzy set theory is used to convert the inventory model crisp to fuzzy for producing flexible output. Compensatory operator is used to aggregate the fuzzy membership functions corresponding to fuzzy sets for fuzzy objectives and constraints. This aggregation gives the overall achievement function and the model known as fuzzy geometric programming model.  

scholarly journals Geometric Programming Approach to an Interactive Fuzzy Inventory Problem

2011 ◽  
Vol 2011 ◽  
pp. 1-17
Author(s):  
Nirmal Kumar Mandal
Keyword(s):  
Geometric Programming ◽  
Resource Constraints ◽  
Programming Method ◽  
Programming Approach ◽  
Storage Space ◽  
Inventory Problem ◽  
Satisfactory Solution ◽  
Fuzzy Inventory ◽  
Cost Parameters ◽  
The Cost

An interactive multiobjective fuzzy inventory problem with two resource constraints is presented in this paper. The cost parameters and index parameters, the storage space, the budgetary cost, and the objective and constraint goals are imprecise in nature. These parameters and objective goals are quantified by linear/nonlinear membership functions. A compromise solution is obtained by geometric programming method. If the decision maker is not satisfied with this result, he/she may try to update the current solution to his/her satisfactory solution. In this way we implement man-machine interactive procedure to solve the problem through geometric programming method.

scholarly journals A fuzzy inventory model with unit production cost, time depended holding cost, with-out shortages under a space constraint: a parametric geometric programming approach

2017 ◽  
Vol 8 (2) ◽  
pp. 299
Author(s):  
Sahidul Islam ◽  
Wasim Akram Mandal
Keyword(s):  
Geometric Programming ◽  
Production Cost ◽  
Triangular Fuzzy Number ◽  
Interval Number ◽  
Inventory Model ◽  
Programming Approach ◽  
Programming Technique ◽  
Parametric Problem ◽  
Unit Production Cost ◽  
Holding Cost

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. 

INTERACTIVE FUZZY PROGRAMMING MODEL IN MULTI-OBJECTIVE INVENTORY CONTROL PROBLEM USING VARIOUS OPERATORS

2017 ◽  
Vol 5 (4) ◽  
pp. 18-26
Author(s):  
Neha Kumari ◽  
Arun Prasad Burnwal
Keyword(s):  
Control Problem ◽  
Inventory Control ◽  
Decision Maker ◽  
Programming Model ◽  
Fuzzy Programming ◽  
Programming Approach ◽  
Multi Objective ◽  
Aspiration Levels ◽  
Interactive Fuzzy Programming ◽  
Inventory Control Problem

This paper deals with the interactive fuzzy programming approach for Multi Objective Inventory Control Problem (MOICP). In multi-objective optimization problem, objectives are often non-commensurable and cannot be combined into a single objective. Moreover, the objectives usually conflict with each other in that any improvement of one objective can be achieved only at the expense of another. In real world, all objectives of MOICP are not rigid. Some are rigid and some are fuzzy or all are imprecise. Fuzzy goals are defined by different membership functions through interaction with decision maker. By making the aspiration levels more flexible and by assigning different values to the normal weights to corresponding objectives functions, different solutions are determined to interact with the decision maker.

Designing a sustainable supply chain network for producing high-value products from waste glass

2021 ◽  
pp. 0734242X2199466
Author(s):  
Naeme Zarrinpoor
Keyword(s):  
Supply Chain ◽  
Greenhouse Gas Emission ◽  
Fuzzy Programming ◽  
Solution Procedure ◽  
Waste Glass ◽  
Worker Safety ◽  
Programming Approach ◽  
Supply Chain Network ◽  
Sustainable Supply Chain ◽  
Proposed Model

This paper aims to design a supply chain network for producing double glazed glass from the recycling of waste glass. All three pillars of sustainability are taken into consideration. The economic objective tries to maximize total profits. The environmental objective considers the energy consumption, the generated waste, the greenhouse gas emission, the water consumption, and the fuel consumption of vehicles. The social objective addresses created job opportunities, the worker safety, the regional development, the worker benefit, and training hours. To solve the model, a two-stage framework based on the group best-worst method and an interactive fuzzy programming approach is developed. The proposed model is validated through a real case study based on waste glass management in the city of Shiraz. It is revealed that when sustainable development goals are approached, a great degree of improvement will be attained in environmental and social aspects without a significant decrease in the economic sustainability. The results also demonstrate that the locations of glass recycling centres are different under economic, environmental, and social pillars, and the proposed model yields an optimal system configuration with a proper satisfaction degree of all objectives. Moreover, applying the proposed solution procedure enables system designers to obtain the most desirable trade-off between different aspects of sustainability.

The Mitigation of the French Nuclear Option: New Industrial Realism and Technical Democracy

2002 ◽  
Vol 13 (2) ◽  
pp. 263-279 ◽  
Author(s):  
Dominique Finon
Keyword(s):  
Waste Management ◽  
Electricity Markets ◽  
Social Preferences ◽  
Public Inquiry ◽  
The Future ◽  
Parliamentary Committee ◽  
Set Up ◽  
The Stability ◽  
The Cost ◽  
Phase Out

Nuclear phase-out policies and the European obligation to liberalise electricity markets could put the French nuclear option dramatically at risk by influencing social preferences or by constraining power producers' investment choices in the future. So far, the particular institutional set-up which has allowed the efficient build-up and operation of several series of standardised reactors preserves the stability of the main elements of the option. However, important adaptations to the evolving industrial and political environment occur and contribute to changing the option. Some institutional changes (such as local public inquiry, creation of a Parliamentary committee, independence of safety authorities) and divergence between industrial interests already allow debates on internal options such as reprocessing, type of waste management deposits, ordering of an advanced PWR. These changes improve the cost transparency, even if internalisation of nuclear externalities (cost of insurance, provisions for waste management) is still incomplete. However, when effective, this internalisation would not affect definitively the competitive position of the nuclear production because of the parallel internalisation of CO2 externalities from fossil fuel power generation in the official rationale. Consequently the real issue for the future of the nuclear option in France remains the preservation of social acceptability in the perception of nuclear risks.

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