scholarly journals Multi-Warehouses Inventory Problem of Deteriorating Items with Fuzzy Lead-Time and Partial Lost Sales under Inflation and Time Value of Money

2014 ◽  
Vol 92 (13) ◽  
pp. 11-19
Author(s):  
Jayanta KumarDey ◽  
Shyamal Kumar Mandal ◽  
Manoranjan Maiti
Author(s):  
S. R. Singh ◽  
Diksha Bhatia

This study considers the problem of a vendor which supplies an item to the buyer with imprecise partial backlogging rate of unsatisfied demand and non instantaneous deterioration rate considering variable holding cost, the effect of inflation and time value of money. The supplier’s lead time is a stochastic function of his managing cost. The extra costs incurred by the retailer due to the uncertain lead time in terms of shortage costs or lost sales costs should be owed by the supplier. A numerical example is cited to illustrate the results and its significant features. Finally, to study the effect of changes of demand parameters, deterioration, inflation and managing cost on supplier and the retailer’s profit, a sensitivity analysis is presented numerically.


Author(s):  
Soumendra Kumar Patra ◽  
Tapan Kumar Lenka ◽  
Er. Purna Chandra Ratha

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.


Author(s):  
S. R. Singh ◽  
Diksha Bhatia

This study considers the problem of a vendor which supplies an item to the buyer with imprecise partial backlogging rate of unsatisfied demand and non instantaneous deterioration rate considering variable holding cost, the effect of inflation and time value of money. The supplier’s lead time is a stochastic function of his managing cost. The extra costs incurred by the retailer due to the uncertain lead time in terms of shortage costs or lost sales costs should be owed by the supplier. A numerical example is cited to illustrate the results and its significant features. Finally, to study the effect of changes of demand parameters, deterioration, inflation and managing cost on supplier and the retailer’s profit, a sensitivity analysis is presented numerically.


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