The scheduling of mixed batch/continuous process plants is difficult since the model and solution have to deal with both discrete and continuous operations. Motivated by the need for the effective scheduling and control of operations in sugar milling, a new type of hybrid Petri nets called Hybrid Time Petri Nets(HTPN) is proposed, which allows the formulation of variable cycle time and variable...

This paper proposes a new hybrid technique called ”partial parameter uniformization” to hybrid discreteand continuous-time models for batch sizing and scheduling problems. The uniformization method simpli...es a problem by ignoring the di¤erent values of some parameters that the problem can take, which can facilitate the solution of some complex combinatorial optimization problems. Good feasibl...

We consider the maximum flow time minimization problem in batch scheduling, which is a capacitated version of broadcast scheduling. In this setting, n different pages of information are available at the server which receives requests from clients over time for specific pages. The server can transmit atmost one page p at each time to satisfy a batch of requests for the same page p, up to a certa...

The Quality of Service (QoS) of real time applications is aaected in a rather direct manner by the timely delivery of application-level data units which are typically mapped into several ATM cells. As a consequence, it would be reasonable to associate a common deadline with all the cells in one data unit (batch) and develop a scheduling policy that aims to maximise the number of data unit that ...

Industrial fermentation systems are often operated in fed-batch mode [1], however this mode of operation can make planning and scheduling challenging due to batch-to-batch variation. There is natural variability in the length of the batch phase due to biological variations, in addition to batch-to-batch variations in initial process conditions from raw materials [2]. These affect the reproducib...

Multi-stage multi-product batch plants with non-identical parallel units are quite common in the batch chemical industry. Scheduling production in these plants optimally is a complex task that has received limited attention in the literature. In this work, we propose a new continuous time-representation using asynchronous slots and report a mixed integer linear programming (MILP) formulation fo...