Specific scheduling problems with complex hybrid logical and terminal constraints, non-stationarity in process execution as well as complex interrelations between dynamics in process design, capacity utilization, and machine setups require further investigation and the application of a broad...

This paper considers the production planning problem of a firm that produces a single product using a process that has multiple production lines (or machines) in parallel, each with a finite production capacity. Specifically, the firm has m parallel production lines, each with capacity of P...

A quadratic model for production-inventory planning was made famous by Holt, Modigliani, Muth, and Simon in 1960 in [3], especially for its application to a paint factory. A discrete control version of a related quadratic production-inventory model was studied by Kleindorfer, Kriebel, Thompson,...

This paper considers an optimal production planning problem for an infinite horizon stochastic manufacturing system with long-run average cost criterion. The optimal feedback control is characterized by turnpike sets with the aid of viscosity solutions to the dynamic programming equations. The...

This paper deals with an asymptotic analysis of hierarchical production planning in stochastic manufacturing systems consisting of a single or parallel failure-prone machines producing a number of different products without attrition. The objective is to choose production rates over time in...