An inventory problem for a deteriorating item having two separate warehouses is developed under time value of money, whereby one is an own warehouse (OW) of finite dimension(s) and the other is rented warehouse (RW) of infinite dimension(s). Deterioration rate of items in the two warehouses may be different, which is time dependent and deterioration is in the mean beta distribution form. In thi...

Abstract: This paper presents a new multiple objectives model for the optimal production for an inventory control system. The stocked items may be deteriorates and the systems costs will be change over the time. In the real situation, some but not all customers will wait for backlogged items during a shortage period and therefore, the model incorporates partial backlogging. The demand rate can ...

This paper concerns dynamic part dispatch decisions in electronic test systems with random yield. A discrete time, multiproduct, miltistage production system is used as a model for the test system with the objective to minimize the sum of inventory holding, backlogging, and overtime costs over a finite horizon. Exact results for such systems have been limited to either single-stage, multiple ti...

This paper considers a multi-product, single-server production system where both setup times and costs are incurred whenever the server changes product. The system is make-to-order with a per unit backlogging cost. The objective is to minimize the long-run average cost per unit time. Using a fluid model, we provide a closed-form lower bound on system performance. This bound is also shown to pro...

We consider a general deterministic infinite horizon optimization problem over discrete time with time-varying, i.e., non-stationary, data. Our formulation requires only that action spaces be compact, including both continuous and discrete controls. In the event that all total costs diverge, i.e., no least total cost optimum exists, we investigate the existence of efficient optima. (An infinite...

Abstract—In this paper, Economic Order Quantity (EOQ) based model for non-instantaneous Weibull distribution deteriorating items with power demand pattern is presented. In this model, the holding cost per unit of the item per unit time is assumed to be an increasing linear function of time spent in storage. Here the retailer is allowed a trade-credit offer by the supplier to buy more items. Als...