Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Scheduling of parallel identical machines to maximize the weighted number of just-in-time jobs
Computers and Operations Research
Computers and Operations Research - Articles presented at the conference on routing and location (CORAL)
Sensor-mission assignment in wireless sensor networks
ACM Transactions on Sensor Networks (TOSN)
Assigning sensors to missions with demands
ALGOSENSORS'07 Proceedings of the 3rd international conference on Algorithmic aspects of wireless sensor networks
Journal of Intelligent Manufacturing
Adaptive negotiation in managing wireless sensor networks
PRIMA'10 Proceedings of the 13th international conference on Principles and Practice of Multi-Agent Systems
Interval selection with machine-dependent intervals
WADS'13 Proceedings of the 13th international conference on Algorithms and Data Structures
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We are concerned with problems of scheduling jobs non-preemptively with the objective to maximize the weighted number of jobs that are completed exactly at their due dates. It has been shown that the problems for single machine and identical parallel machines are polynomial time solvable. The purpose of this paper is to establish the complexity status of the problem for unrelated parallel machine, which was left open. First, we present a polynomial time algorithm for solving the problem when the number of machine is fixed. Second, we show that when the number of machine is a part of input, the problem becomes NP-hard in the strong sense.