Production management is a set of decisions that must reflect a compromise between customers’ satisfaction and production criteria such as cost, delay and quality. The goal of production management is to ensure the continued success of the firm. Industrial planning plays a central part in this one. The latter can be divided into three hierarchical decisional levels: the strategic level deals wi...

Processing emails is a major part of the work being performed by today’s knowledge worker in a service economy. This paper presents a heuristic model to prioritize and schedule email processing for a knowledge worker. We adapt a multi-item capacitated production planning model to present an analytical model of email prioritization and scheduling. Assuming we have emails with different prioritie...

We study the classical capacitated multi-item lot-sizing problem with hard capacities. There are N items, each of which has speci ed sequence of demands over a nite planning horizon of T discrete periods; the demands are known in advance but can vary from period to period. All demands must be satis ed on time. Each order incurs a time-dependent xed ordering cost regardless of the combination of...

In the classical economic production quantity (EPQ) problem demand is considered to be known in advance. However, in the real-world, demand of a product is a function of factors such as product’s price, its quality, and marketing expenditures for promoting the product. Quality level of the product and specifications of the adopted manufacturing process also affect the unit product’s cost. There...

Tempelmeier and Hilger (2015) study the stochastic dynamic lot sizing problem with multiple items and limited capacity. They propose a linear optimization formulation for the problem based on a piece-wise linear approximation of the nonlinear functions for the expected backorders and the expected inventory position. Our work builds on Tempelmeier and Hilger (2015). We correct an erroneous deriv...

We present a stochastic version of the single-level, multi-product dynamic lotsizing problem subject to a capacity constraint. A production schedule has to be determined for random demand so that expected costs are minimized and a constraint based on a new backlog-oriented δ-service-level measure is met. This leads to a non-linear model that is approximated by two different linear models. In th...