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 4 (5) ◽  
pp. 40-51
Author(s):  
Wasim Akram Mandal ◽  
Sahidul Islam
Keyword(s):  
Space Constraint ◽  
Geometric Programming ◽  
Production Cost ◽  
Inventory Model ◽  
Programming Approach ◽  
Unit Production Cost ◽  
Holding Cost ◽  
Fuzzy Inventory ◽  
Fuzzy Inventory Model

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. 

scholarly journals Multi-item fuzzy inventory problem with space constraint via geometric programming method

2006 ◽  
Vol 16 (1) ◽  
pp. 55-66 ◽  
Author(s):  
Kumar Mandal ◽  
Kumar Roy ◽  
Manoranjan Maiti
Keyword(s):  
Space Constraint ◽  
Geometric Programming ◽  
Profit Maximization ◽  
Inventory Model ◽  
Programming Method ◽  
Unit Price ◽  
Selling Price ◽  
Inventory Problem ◽  
Set Up ◽  
Fuzzy Inventory

In this paper, a multi-item inventory model with space constraint is developed in both crisp and fuzzy environment. A profit maximization inventory model is proposed here to determine the optimal values of demands and order levels of a product. Selling price and unit price are assumed to be demand-dependent and holding and set-up costs sock dependent. Total profit and warehouse space are considered to be vague and imprecise. The impreciseness in the above objective and constraint goals has been expressed by fuzzy linear membership functions. The problem is then solved using modified geometric programming method. Sensitivity analysis is also presented here.

Sign in / Sign up

Export Citation Format

Share Document