This paper studies the optimal producer′s replenishment policy for an economic production quantity (EPQ) model with rework and breakdown taking place in backorder replenishing time. A recent published article has studied the lot-sizing problem on an imperfect quality EPQ model. However, another reliability factor random machine breakdown is inevitable in most real-life production systems. To de...

we developed an inventory model for decaying items with selling price dependent demand in inflationary environment. deterioration rate is taken as two parameter weibull distribution. shortages in inventory are allowed with partial backlogging. backlogging rate is taken as exponential decreasing function of time. profit maximization technique is used in this study.

In general, traditional production-inventory systems are based on a number of simplifying – but somewhat unrealistic – assumptions, including constant demand rate, constant holding cost, and instantaneous order replenishment. These assumptions have been individually challenged in numerous variations of production-inventory models. Finite production rate models, such as economic production quant...

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...

Every industrial sector emits carbon emissions during production, which is always a major concern for environmental practitioners. To resolve this, innovative and smart ways are required that not only cost-effective but also environmentally savvy. Moreover, the production processes prone to various imperfections, thus of defectives quite pragmatic. The handling such defective products varies fr...

We consider an assembly system with multiple stages, multiple items, and multiple customer classes. The system consists of m production facilities, each producing a different item. Items are produced in variable batch sizes, one batch at a time, with exponentially distributed batch production times. Demand from each class takes place continuously over time according to a compound Poisson proces...

Market segmentation has emerged as the primary means by which firms achieve optimal production policy. In this paper, we use market segmentation approach in multi-product inventory system with inventory-level-dependent demand. The objective is to make use of optimal control theory to solve the inventory-production problem and develop an optimal production policy that minimizes the total cost as...

Traditionally, the inventory models available in literature assume that all articles purchased lot are perfect and demand is constant. However, there many causes provoke presence of defective goods dependent on some factors. In this direction, paper develops an economic order quantity (EOQ) model for imperfect quality items, taking into account ones sent as a single to repair shop reworking. Af...