In many industrial environments there is a significant class of problems for which the perishable nature of the inventory cannot be ignored in developing replenishment order plans. Food is the most salient example of a perishable inventory item. In this work, we consider the periodic-review, single-location, single-product production/inventory control problem under non-stationary stochastic dem...

Production costs in general, and workforce and inventory costs in particular, constitute a large fraction of the operating costs of many manufacturing plants. We introduce cooperative aggregate production planning as a way to decrease these costs. That is, when production planning of two or more facilities (plants) is integrated, they can interchange workforce and products inventory; thus, thei...

We consider the following two deterministic inventory optimization problems over a finite planning horizon T with non-stationary demands. • Submodular Joint Replenishment Problem. This involves multiple item types and a single retailer who faces demands. In each time step, any subset of item-types can be ordered incurring a joint ordering cost which is submodular. Moreover, items can be held in...

This paper studies operations sequencing for a multi-stage production inventory system with lead times under predictable (deterministic) yield losses in the presence of uncertain demand, with full or partial release of work-in-process (WIP) inventories, for preor post-operation cost structures, and under the total discounted or average cost criteria. We derive necessary and sufficient criteria ...

This paper addresses the optimization of the continuous-flow model of a single-stage single-product manufacturing system with constant demand and transportation delay from the machine to the inventory. The machine is subject to either time-dependent or operation-dependent failures. The production is controlled by a hedging point policy. The goal is to determine the optimal hedging point, which ...

A two warehouse production inventory model for deteriorating items is explored in an inflation induced demand and partial backlogging under the effect of learning on set-up cost. Holding cost is treated as a linear function of time and production rate is taken as a linear combination of demand and on-hand inventory. A finite planning horizon inventory problem having two separate warehouses, one...

in the fundamental production inventory model, in order to solve the economic production quantity (epq) we always fix both the demand quantity and the production quantity per day. but, in the real situation, both of them probably will have little disturbances every day. therefore, we should fuzzify both of them to solve the economic production quantity (q*) per cycle. using α-cut for defuzzific...

The Pontryagin minimum principle is applied in this paper to find the optimal controllers of the Holt, Modigliani, Muth and Simon(HMMS) reverse logistics model of a production inventory system with deteriorating items. The total cost of the system consists of the sum of holding costs of inventory levels in two different stores, the manufacturing and remanufacturing costs, and the disposal cost....

This paper proposes an analytical method for performance evaluation and optimization of a production-distribution system composed of a warehouse supplied from an upstream manufacturing plant. Customer orders arrive randomly with random order size and the production capacity is finite. Transportation time from plant to warehouse is fixed. The analytical approach needs only the first two moments ...