In this paper, we considered a deterministic inventory model with time-dependent demand and time-varying holding cost where deterioration is time proportional. The model considered here allows for shortages, and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The result is illustrated with numerical example for the model. The model ca...

An order level inventory model for seasonable/fashionable products subject to a period of increasing demand followed by a period of level demand and then by a period of decreasing demand rate three branches ramp type demand rate is considered. The unsatisfied demand is partially backlogged with a time dependent backlogging rate. In addition, the product deteriorates with a time dependent, namel...

In this paper, we discuss the production inventory model with timevarying production, time dependent demand and non-linear shortage cost under inflation and time discounting. Shortages are allowed and are partially backlogged. Here, total cost and time durations are the decision variables. Numerical Examples are given to illustrate the model. Mathematics Subject Classification: 90B05

An inventory model for two warehouses with different deterioration rates is developed. Demand is considered as linear function of time. Holding cost is time dependent. Shortages are allowed and completely backlogged. To support the model numerical case is given. Affectability investigation is likewise done for parameters.

An inventory model for deteriorating items with stock and price dependent demand is developed. Holding cost is considered as function of time. Shortages are allowed and completely backlogged. Numerical example is provided to illustrate the model and sensitivity analysis is also carried out for parameters.

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...

In this paper we have developed a two echelon supply chain production inventory model for deteriorating products having stock dependent demand under inflationary environment. This model is developed for finite time horizon. The shortages are allowed and partially backlogged. To make this study close to reality the production rate is assumed to be a function of demand rate. A numerical example a...

This article will introduce an inventory model for deteriorating items under a ramp-type demand rate. In the sequel, preservation technology has appeared to reduce deterioration rate of items. The is considered time-dependent. Due demand, retailers may face complete and partial backlogged shortages. We suggest two-warehouse effect when retailer faces storage capacity problem. this model, it wou...

This paper develops a fuzzy inventory model for variable deteriorating items with time dependent two parameter Weibull demand rate. Shortages are allowed and partially backlogged. Each cycle has shortages, which have been partially backlogged to suit present day competition in the market. This inventory system follows a time varying holding cost. Here, the retailer is allowed a trade credit off...