Capacity and Inventory Planning for Make-to-Order Production Systems von Klaus Altendorfer

?The book presents different models for the simultaneous optimization problem of capacity investment and work release rule parameterization. The overall costs are minimized either including backorder costs or considering a service level constraint. The available literature is extended with the integration of a distributed customer required lead time in addition to the actual demand distribution. Furthermore, an endogenous production lead time is introduced. Different models for make-to-order production systems with one or multiple serial processing stages are developed. Capacity investment is linked to the processing rates of the machines or to the number of the machines. Results are equations for service level, tardiness, and FGI lead time in such a production system. For special cases with M/M/1 and M/M/s queues explicit solutions of the optimization problems or optimality conditions concerning capacity investment and work release rule parameterization are provided.

From the reviews:

"This book comprises a collection of four research papers the author prepared during his time as a Ph.D. student at University of Vienna. ? Using simple queueing models, this thesis aims at deriving analytical expressions for performance measures and insights derived from those. It will inspire future work on production control and manufacturing systems design with a particular emphasis on customer requirements. This book summarizes state-of-the-art insights to capacity and inventory planning and will be useful to students and practitioners." (P. R. Parthasarathy, Mathematical Reviews, March, 2014)