Jobs can be batched if they share the same setup times on a machine in many practical situations. Another reason for batching arises when a machine can process several jobs at the same time. On the other hand, splitting a job or lot which consists of many identical items often increases customer service and decreases throughput time. Especially in CIM (Computer Integrated Manufacturing) these d...

Companies are trying to improve their ability to deliver and to reduce their production costs simultaneously. Nevertheless ongoing orders of customers are causing difficulties to deliver because of bottlenecks in the production. Furthermore constantly incoming customer orders effect that every actual optimal production plan with its already realized and planned guidelines has induced states tha...

We study a multiechelon supply chain model that consists of a production level and several transportation levels, where the demands can exist in the production echelon as well as any transportation echelons. With the presence of stationary production capacity and general cost functions, our model integrates production, inventory and transportation decisions and generalizes existing literature o...

We study the lot-sizing problem with piecewise concave production costs and concave holding costs. This problem is a generalization of the lot-sizing problem with quantity discounts, minimum order quantities, capacities, overloading, subcontracting or a combination of these. We develop a dynamic programming (DP) algorithm to solve this problem and answer an open question in the literature: we s...