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Abstract
We study a problem of scheduling a set of n jobs with unit processing times on a set of m multipurpose machines in which the objective is to minimize the makespan. It is assumed that there are two different job types, where each job type can be processed on a unique subset of machines. We provide an optimal offline algorithm to solve the problem in constant time and an online algorithm with a competitive ratio that equals the lower bound. We show that the worst competitive ratio is obtained for an inclusive jobmachine structure in which the first job type can be processed on any of the m machines while the second job type can be processed only on a subset of m/2 machines. Moreover, we show that our online algorithm is 1competitive if the machines are not flexible, i.e., each machine can process only a single job type.
Original language  American English 

State  Published  2015 
Event  Multidisciplinary International Scheduling Conference (MISTA)  Prague, Czech Republic Duration: 24 Aug 2015 → 28 Aug 2015 
Conference
Conference  Multidisciplinary International Scheduling Conference (MISTA) 

Country/Territory  Czech Republic 
City  Prague 
Period  24/08/15 → 28/08/15 
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Dive into the research topics of 'Online scheduling of two job types on a set of multipurpose machines with unit processing times'. Together they form a unique fingerprint.Activities
 1 Organizing a conference, workshop, ...

Multidisciplinary International Scheduling Conference (MISTA)
Karhi, S. (Participation  Conference participant)
24 Aug 2015 → 28 Aug 2015Activity: Participating in or organizing an event › Organizing a conference, workshop, ...