Robust model predictive control approaches and other applications lead to nonlinear optimization problems defined on (scenario) trees. We present structure-preserving Quasi-Newton update formulas as well as structured inertia correction techniques that allow to solve these problems by interior-point methods with specialized KKT solvers for tree-structured optimization problems. The same type of...

Due to unreliable production facility and stochastic preventive maintenance, deriving an optimal production inventory decision in practice is very complicated. In this paper, we develop a production model for deteriorating items with stochastic preventive maintenance time and rework using the first in first out (FIFO) rule. From our literature search, no study has been done on the above problem...

In this paper a deterministic inventory model is developed deterioration rate is time proportional. Demand rate is a function of selling price. Deterioration rate, inventory holding cost and ordering cost are all of function of time. The planning horizon is infinite. The optimum replacement policy and decision rule, which minimizes the total cost, is developed. In this study an order level inve...

For generality, we observed that some of the optimization methods lack mathematical rigor and them are based on intuitive arguments which result in solution procedures being questionable from logical viewpoints a analysis such as those work by Ouyang et al. (2009). They consider an economic order quantity model for deteriorating items with partially permissible delays payments linked to quantit...

Inventory of differential units of a deteriorating item purchased in a lot and sold separately from two shops under a single management is considered. Here deterioration increases with time and demands are timeand price-dependent for fresh and deteriorated units respectively. For the fresh units, shortages are allowed and later partially-backlogged. For the deteriorated units, there are two sce...

This study proposes a single-supplier, singleretailer inventory and pricing strategies for deteriorating items with ramp type demand and a fixed shelf-life under shortage. In practice, there are many commodity such as food, medication exist the shelf life. Therefore the shelf life expiration date has become an important research topic in inventory management. We will discuss three cases. We ass...

An order level inventory system for deteriorating items has been developed with demand rate as a ramp type function of time. The finite production rate is proportional to the demand rate and deterioration rate is time proportional. The unit production cost is inversely proportional to the demand rate. The model with no shortage case in inventory is first solved. The inventory shortage is discus...