This article deals with an economic order quantity (EOQ) inventory model for items with imperfect quality in fuzzy stochastic environment, wherein shortages are allowed and completely backlogged. Fuzzy stochastic environment means linguistic ‘impreciseness’ and statistical ‘uncertainty’ both appear simultaneously. Due to uncertain demand trend, imperfect production process, natural disaster etc...

In this paper, a fuzzy inventory model with Weibull deterioration rate, quadratic demand and variable holding cost under permissible shortages has been developed. The rate is expressed by two-parameter distribution. During shortage, some buyers wait for the actual product, while others do not. This shortfall considered partially backlogged in model. Some product during such shortages, but many ...

Inventory control is considered one of the most widely documented topics in reality. Fractional derivatives and integration part fractional calculus. calculus generalized ordinary The memory physical phenomena a highly concerning topic but it neglected with describing terms integer-order differential equation. To discuss inventory model, derivative tools are considered. A at any point gives pre...

This paper investigates a non-instantaneous deteriorating inventory model with an expiration date and hybrid payment scheme under price-sensitive demand, partial backlogged shortages. To facilitate post-Covid-19 recovery during the economic downturn, composed of multiple prepayments delay in is proposed. A time-dependent holding cost also introduced. Apart from this, shortages items are taken i...

This study introduces an inventory system with a non-instantaneous deteriorating product credit facility and variable demand depending on the selling price. Two different prices are considered in deterioration non-deterioration periods. Shortages partially backlogged dependent length of customers’ waiting time upto arrival fresh lot. Alternative trade-credit policy is applied herein, several ca...

a new mathematical model for the optimal production isformulated for the inventory management system under time-varyingand stochastic inflation environment for deteriorating items. the timehorizon is finite and demand rate is dependent to the inflation. in thereal situation, some but not all customers will wait for backlogged itemsduring a shortage period, such as for fashionable commodities or...

In today’s business transactions, it is frequently observed that a customer is allowed some grace period (permissible delay in payment) before settling the account with the supplier or producer. This policy is advantageous both for the supplier and customer since supplier attracts more customers and customer does not have to pay any interest during this fixed period either. In this paper, the r...