In this paper, we extend the inventory lot-size model introduced in Ghosh and Chaudhuri (2006) to allow for partial backlogging. In addition, we also relax their assumptions of equal replenishment cycles and constant shortage lengths. For any given number of replenishment cycles, we show that...

In this paper, we analyse the single machine maximum lateness minimisation scheduling problem with the aging effect, where the job processing times are described by non-decreasing functions dependent on the sum of the normal processing times of already processed jobs. We prove that the...

We consider the production/inventory control for a recoverable system with stochastic demand and returns where stock is replenished by manufacturing new items or remanufacturing returned items. The optimal control policy found by solving a Markov decision process (MDP) for a given problem...

Production systems with scrapped and rework items have recently become an interesting subject of research. While most attempts have been focused on finding the optimal production quantity in a simple production system, little work appears on a joint production environment. In this research, two...

Nowadays, supply chain management (SCM) is a popular practice in manufacturing systems. The concept of SCM has forced members to find ways to cut costs and bring performance benefits to the firms. In the creation of long-term partnerships in the supply chain, the collaboration between supply...

An inventory system containing uncertainty, e.g., in demand, in costs, in lead time, or in supplied quantity or quality, needs a probability distribution of demand for reorder point models. In the literature on inventory control, many times reference is made to the Normal or Gamma distribution...

A stochastic version of the economic lot sizing problem with pricing is presented. The control variables of the stochastic problem are the production quantities and cycle lengths for each product. The recourse variables are the sales prices and the external purchase quantities in each production...

An inventory system containing uncertainty, e.g., in demand, in costs, in lead time, or in supplied quantity or quality, needs a probability distribution of demand for reorder point models. In the literature on inventory control, many times reference is made to the Normal or Gamma distribution...