The two management set parameters which determine the performance of a material requirements planning (MRP) system are the lead time and the safety stock. The appropriate values of these parameters are influenced by the accuracy of forecasts over the lead time, the variability of processing time...

In this paper we consider a class of job shops with a dispatch area and a machine shop, where operational controls are exercised at the dispatch area as well as at the machine shop. For such dynamic job shops with these two levels of control, there are three categories of models. They are (1)...

Applied Probability and Stochastic Processes is an edited work written in honor of Julien Keilson. This volume has attracted a host of scholars in applied probability, who have made major contributions to the field, and have written survey and state-of-the-art papers on a variety of applied...

An important aspect of the efficient design of an automatic transfer line is the ability to understand and predict the effects of the system parameters such as the size of the intermediate buffer storage space, the cycle times, failure times, repair times, and scrap rate, on the production rate...

Studying the joint distributional properties of partial sums of independent random variables, we obtain stochastic analogues of some simple deterministic results from the theory of majorization, Schur-convexity, and arrangement monotonicity. More explicitly, let Xi([theta]i), i =1, ..., n, be...