Multi-objective and Perishable Fuzzy Inventory Models Having Weibull Life-time With Time Dependent Demand, Demand Dependent Production and Time Varying Holding Cost: A Possibility∕Necessity Approach

2010 ◽  
Author(s):  
Savita Pathak ◽  
Seema Sarkar Mondal ◽  
Swapan Paruya ◽  
Samarjit Kar ◽  
Suchismita Roy
2020 ◽  
Vol 11 (3) ◽  
pp. 928
Author(s):  
Satya Kumar Das ◽  
Sahidul Islam

In this paper, we have formulated an inventory model with time dependent holding cost, selling price as well as time dependent demand. Multi-item inventory model has been considered under limitation on storage space. Due to uncertainty all the require cost parameters are taken as generalized trapezoidal fuzzy number. Our proposed multi-objective inventory model has been solved by using fuzzy programming techniques which are FNLP, FAGP, WFNLP and WFAGP methods. A numerical example is provided to demonstrate the application of the model. Finally to illustrate the model and sensitivity analysis and graphical representation have been shown. 


2018 ◽  
Vol 28 (1) ◽  
pp. 139-151 ◽  
Author(s):  
R.P. Tripathi ◽  
D. Singh ◽  
S. Aneja

Deterioration, a continuous process of all items, may be low or high for different items. This paper develops an inventory model for stock-dependent demand and time varying holding cost under different trade credits, considering four different situations. The second order approximations are used for exponential terms. Optimal solutions are obtained using Mathematica 9.0 software. Numerical examples and sensitivity analysis are provided to illustrate the proposed model.


2020 ◽  
Vol 25 (3) ◽  
pp. 441-460
Author(s):  
Boina Anil Kumar ◽  
Susanta Kumar Paikray ◽  
Umakanta Mishra

If we observe a real business market, the demand for items in each cycle is not in the same pattern, that is, for specific business cycle it may increase, stable or decrease (for instance, cool drinks from end stage of the summer to winter; the demand goes on decreasing, and from the end of winter to peak time of summer; the demand goes on increasing). Also, if the supplier permits for delay in payment, retailer wishes to buy more goods, and for which the retailer may need extra storage (in terms of a rented warehouse). Moreover, the retailer has always wished to sell the items before they expire and accordingly order is placed. Mostly the parameters in a real world inventory model are imprecise. Thus, in the proposed study an inventory model having decreasing time dependent demand pattern with variable holding cost for TwoStorage facility under acceptable delay in payment has been developed. Mathematical model of the problem and its solution procedure is discussed for both crisp and fuzzy environment in order to obtain the optimal replenishment time and cost. Also, numerical examples are discussed to validate the study. Finally, sensitivity analysis is also studied to describe the fluctuating scenario of associated parameters.


2015 ◽  
Vol 4 (1) ◽  
pp. 29-36
Author(s):  
N Mishra ◽  
SP Mishra ◽  
Srichandan Mishra ◽  
J Panda ◽  
UK Misra

2020 ◽  
Vol 30 (2) ◽  
pp. 237-250
Author(s):  
Aditi Khanna ◽  
P Priyamvada ◽  
Chandra Jaggi

Organizations are keen on rethinking and optimizing their existing inventory strategies so as to attain profitability. The phenomenon of deterioration is a common phenomenon while managing any inventory system. However, it could become a major challenge for the business if not dealt carefully. An investment in preservation technology is by far the most inuential move towards dealing with deterioration proficiently. Additionally, it is noticed that the demand pattern of many products is reliant on its availability and usability. Thus, considering demand of the product to be ?stock-dependent" is a more practical approach. Further, in case of deteriorating items, it is observed that the longer an item stays in the system the higher is its holding cost. Therefore, the model assumes the holding cost to be time varying. Hence, the proposed framework aims to develop an inventory model for deteriorating items with stock-dependent demand and time-varying holding cost under an investment in preservation technology. The objective is to determine the optimal investment in preservation technology and the optimal cycle length so as to minimize the total cost. Numerical example with various special cases have been discussed which signifies the effect of preservation technology investment in controlling the loss due to deterioration. Finally, the effect of key model features on the optimal solution is studied through sensitivity analysis which provides some important managerial implications.


2021 ◽  
Vol 42 (5) ◽  
pp. 1163-1179
Author(s):  
Prachi Swain ◽  
Chittaranjan Mallick ◽  
Trailokyanath Singh ◽  
Pandit Jagatananda Mishra ◽  
Hadibandhu Pattanayak

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