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Cyclic scheduling of continuous parallel‐process units with decaying performance
Author(s) -
And Vipul Jain,
Grossmann Ignacio E.
Publication year - 1998
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690440714
Subject(s) - scheduling (production processes) , mathematical optimization , schedule , computer science , exponential function , integer programming , process (computing) , linear programming , nonlinear system , nonlinear programming , branch and bound , mathematics , mathematical analysis , physics , quantum mechanics , operating system
The problem of scheduling multiple feeds on parallel units is addressed. The performance of each unit is assumed to decrease with time, therefore requiring planned maintenance to restore its performance. A mixed‐integer nonlinear programming (MINLP) model presented uses the process information regarding the exponential decay in performance with time to find a cyclic schedule for feed processing. Optimization trade‐off is between the performance of the units, and the maintenance costs and the loss in production due to shutdowns. Three main decisions for the optimal schedule are: a) assignment of various feeds to different units; b) processing time of each feed on different units; and c) number of subcycles of each feed on diferent units. Special mathematical properties of the MINLP model are exploited to solve the problem to global optimality with a branch‐and‐bound method. Using several examples advantages of the model are illustrated and performances of different solution algorithms are compared.