Record Details

MAKESPAN MINIMIZATION FOR PARALLEL MACHINES SCHEDULING WITH AVAILABILITY CONSTRAINTS

DalSpace at Dalhousie University

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Date 2010-04-16T18:16:51Z
2010-04-16T18:16:51Z
2010-04-16T18:16:51Z
2010-03-19
 
Identifier http://hdl.handle.net/10222/12733
 
Description A new method is developed to schedule jobs on parallel machines with availability constraints. The objective of the problem is to minimize the makespan of the total production schedule. Without the availability constraints the scheduling of machines is a Pm || Cmax problem. The scheduling of this problem was the topic of many earlier papers.
The main contribution of this research is that the schedule of the jobs on parallel machines with availability constraints is determined within a single implicit enumer- ation algorithm. Within the general enumeration scheme, the loads of each machine are enumerated in a lexicographic order. An exact integer linear programming model is provided, too. The difficulty of the problem depends on the properties of the pro- cessing times, the number of machines, and the number of availability constraints on the machines. In some subclasses, problems with very large number of jobs are solved. The largest problems solved within one hour limit have 1, 000, 000 jobs.
 
Language en_US
 
Subject parallel machines
availability contraints
makespan
scheduling
 
Title MAKESPAN MINIMIZATION FOR PARALLEL MACHINES SCHEDULING WITH AVAILABILITY CONSTRAINTS
 
Contributor Department of Industrial Engineering
Master of Science
Abdul-Rahim Ahmad
Claver Diallo
Abdul-Rahim Ahmad
Uday Venkatadri
Eldon Gunn
Claver Diallo
Claver Diallo
Not Applicable
Yes
Yes