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|Title:||Novel MILP models for scheduling permutation flowshops|
|Citation:||Pitty, S.S.,Karimi, I.A. (2008-02-04). Novel MILP models for scheduling permutation flowshops. Chemical Product and Process Modeling 3 (1) : -. ScholarBank@NUS Repository. https://doi.org/10.2202/1934-2659.1176|
|Abstract:||Flowshop scheduling via mixed integer linear programming (MILP) has received considerable attention in the past four decades. However, alternate models are limited; most numerical studies have used small problem sizes. A need for good model evaluation methodology exists; and limited work exists on flowshops with no intermediate storage. This paper presents a classification of flowshops and MILP scheduling models, and addresses some of these issues. It develops a host of new MILP formulations for minimizing makespan in a permutation flowshop with no storage and with or without unit setups. It presents some useful insights into model building by employing a variety of new and old binary variables and coupling them creatively. In contrast to previous work, it evaluates a range of new and existing MILP models using many larger test problems with no or unlimited intermediate storage, and presents a reliable procedure to rank various models based on problems with varying data and sizes. It shows that the top models for the two flowshops indeed show slightly different computational performance. © 2008 Berkeley Electronic Press. All rights reserved.|
|Source Title:||Chemical Product and Process Modeling|
|Appears in Collections:||Staff Publications|
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