The paper deals with the analysis of a special dynamic production and inventory model. In this model logical restrictions to fulfill an accepted constant minimal level of the production lot size are incorporated, instead of keeping setup cost in the objective function, as it is common in many...

The real-world production inventory systems involve uncertainties surrounding demand, production, defectiveness, and costs, which pose significant challenges. Various methodologies, including interval, fuzzy, stochastic, and fuzzy-stochastic approaches, have been developed to address these...

We consider a single production facility capable of producing N products each demanded at a varying rate throughout the planning horizon. The production facility makes a fixed lot in a given period. No more than one product can be produced in a period. Given the initial inventory for each...

We consider a single production facility capable of producing N products each demanded at a varying rate throughout the planning horizon. The production facility makes a fixed lot in a given period. No more than one product can be produced in a period. Given the initial inventory for each...

As in [3], we study the deterministic optimization problem of a profit-maximizing firm which plans its sales/production schedule. The firm knows the revenue associated to a given level of sales, as well as its production and storage costs. The revenue and the production cost are assumed to be...

This paper investigates the dynamic inventory model for the case when production in a period is restricted to a finite set of specified values. The model allows the production rate to be any value in the set {0, P, 2P, ..., mP}, where m is a nonnegative integer. It is assumed that the setup cost...

We consider the optimal production and inventory control of an assemble-to-order system with m components, one end-product, and n customer classes. A control policy specifies when to produce each component and, whenever an order is placed, whether or not to satisfy it from on-hand inventory. We...