scholarly journals An optimal policy for deteriorating items with time-proportional deterioration rate and constant and time-dependent linear demand rate

2017 ◽  
Vol 13 (4) ◽  
pp. 455-463 ◽  
Author(s):  
Trailokyanath Singh ◽  
Pandit Jagatananda Mishra ◽  
Hadibandhu Pattanayak
Keyword(s):  
Optimal Policy ◽  
Deteriorating Items ◽  
Time Dependent ◽  
Deterioration Rate ◽  
Demand Rate ◽  
Linear Demand

An Optimal Policy for Items with Linear Demand Rate, Variable Deterioration Rate Under Shortage and Lead-Time

2021 ◽  
Vol 23 (06) ◽  
pp. 1-9
Author(s):  
Bhawna Gupta ◽  
◽  
Sangeeta Gupta ◽  
Sweta Srivastav ◽  
◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Policy ◽  
Average Cost ◽  
Lead Time ◽  
Inventory Model ◽  
Deterioration Rate ◽  
Demand Rate ◽  
Linear Demand ◽  
Total Average Cost ◽  
Total Average

In this research, we have developed a deterministic inventory model for an item having linear demand in variable deterioration rate. The shortage is allowed and fully backlogged. In developing the model, we have assumed that lead time is not equal to zero. Here we developed an optimal policy that minimizes that the total average cost. The model is illustrated by a suitable numerical example and sensitivity analysis has been carry- out.

An Optimal Policy for Deteriorating Items With Generalized Deterioration, Trapezoidal-Type Demand, and Shortages

2021 ◽  
Vol 14 (1) ◽  
pp. 23-54
Author(s):  
Trailokyanath Singh ◽  
Nirakar Niranjan Sethy ◽  
Ameeya Kumar Nayak ◽  
Hadibandhu Pattnaik
Keyword(s):  
Optimal Policy ◽  
Optimization Technique ◽  
Phase Variation ◽  
Optimal Solution ◽  
Deteriorating Items ◽  
Total System ◽  
Variation Of Parameters ◽  
Deterioration Rate ◽  
Demand Rate ◽  
Total Inventory

This paper focuses an optimal policy of an inventory model for deteriorating items with trapezoidal type demand rate and the three-parameter Weibull distribution deterioration rate. The model allows shortages which are completely backlogged in order to achieve better preserving amenity. The authors present some optimal solutions which leads to determine the total inventory cost in which the collective behavior of customers hinges on the waiting time. An easy-to-use optimization technique is included to find the shortage time point and order quantity to minimize the total system cost. Taking into account the above-mentioned assumptions, different kinds of numerical examples are considered to illustrate the theoretical behavior of the framed optimization model. The sensitivity analysis is made for this problem with variation of parameters. The study shows that the optimal solution not only exists but also is unique and is less expensive to operate if the factors of three-phase variation, representing the growth, the steady, and the decline phases of demand with respect to time are considered.

A Fuzzy EOQ Model for Deteriorating Items With Allowable Shortage and Inspection Under the Trade Credit

2018 ◽  
pp. 233-249
Author(s):  
Chandra K. Jaggi ◽  
Bimal Kumar Mishra ◽  
T. C. Panda
Keyword(s):  
Trade Credit ◽  
Method Comparison ◽  
Deteriorating Items ◽  
Order Quantity ◽  
Centroid Method ◽  
Deterioration Rate ◽  
Eoq Model ◽  
Permissible Delay In Payment ◽  
Demand Rate ◽  
Fuzzy Cost

This chapter develops an economic order quantity model for deteriorating items with initial inspection, allowable shortage under the condition of permissible delay in payment by fuzzify the demand rate, deterioration rate and inspection parameter of non-defective parameter based on as triangular fuzzy numbers to fit the real word. The total fuzzy cost function has been defuzzified using signed distance and centroid method. Comparison between these two methods has also been discussed. The validity of the model has been established with the help of a hypothetical numerical example.

A Time Dependent Order Level Inventory Model for Beta Deterioration in Two Warehouse Systems

2015 ◽  
Vol 6 (2) ◽  
pp. 53-69 ◽  
Author(s):  
Soumendra Kumar Patra ◽  
Tapan Kumar Lenka ◽  
Er. Purna Chandra Ratha
Keyword(s):  
The Other ◽  
Time Dependent ◽  
Inventory Problem ◽  
Time Value Of Money ◽  
Continuous Release ◽  
Time Value ◽  
Distribution Form ◽  
Deterioration Rate ◽  
Demand Rate ◽  
Value Of Money

An inventory problem for a deteriorating item having two separate warehouses is developed under time value of money, whereby one is an own warehouse (OW) of finite dimension(s) and the other is rented warehouse (RW) of infinite dimension(s). Deterioration rate of items in the two warehouses may be different, which is time dependent and deterioration is in the mean beta distribution form. In this study, shortages and complete backlogging have been considered as the other items, whereby the demand rate of items is linear with time in OW and the same is linear with price in case of RW. Also, the stocks of RW transported to OW in continuous release pattern.

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