This paper presents a production-inventory model for deteriorating items with stock-dependent demand under inflation in a random planning horizon. The supplier offers the retailer fully permissible delay in payment. It is assumed that the time horizon of the business period is random in nature and follows exponential distribution with a known mean. Here learning effect is also introduced for th...

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...

This study develops an inventory model for determining an optimal ordering policy for non-deteriorating items and time-dependent holding cost with delayed payments permitted by the supplier under inflation and time-discounting. The discounted cash flows approach is applied to study the problem analysis. Mathematical models have been derived under two different situations i.e. case I: The permis...

Inventory models in which the demand rate dependents on the stock- dependent are based on the common real- life observation that greater product availability tends to stimulate more sales. In this study we develop an inventory model to determine an optimal ordering policy for quantity dependent demand rate and time dependent holding cost items with delay in payments permitted by the supplier un...

Demand for a seasonal product persists for a fixed period of time. Normally the “finite time horizon inventory control problems” are formulated for this type of demands. In reality, it is difficult to predict the end of a season precisely. It is thus represented as an uncertain variable and known as random planning horizon. In this paper, we present a production-inventory model for deterioratin...

In this study a deterministic inventory model for deteriorating items with stock dependent demand is developed. In this model the shortages are allowed and partially backlogged and the effect of inflation rate and delay in payments are discussed. This paper establishes an inventory model for the deteriorating items and stock dependent demand rate under inflation when the supplier offers a permi...

This study presents an inventory model to determine an optimal ordering policy for non-deteriorating items and timedependent demand rate with delay in payments permitted by the supplier under inflation and time discounting. Mathematical models have been derived under two different situations, i.e. Case I: The permissible delay period is less than or equal to replenishment cycle period for settl...