Single Machine Preemptive 
Scheduling  to Minimize the Weighted Number of Late Jobs with
Deadlines and Nested Release/Due Date Intervals

Valery S. Gordon; F. Werner; O. A. Yanushkevich

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Displaying similar documents to “Single Machine Preemptive Scheduling to Minimize the Weighted Number of Late Jobs with Deadlines and Nested Release/Due Date Intervals”

On Minimizing Total Tardiness in a Serial Batching Problem

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RAIRO - Operations Research

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We study the problem of scheduling jobs on a serial batching machine to minimize total tardiness. Jobs of the same batch start and are completed simultaneously and the length of a batch equals the sum of the processing times of its jobs. When a new batch starts, a constant setup time occurs. This problem | ∑ is known to be NP-Hard in the ordinary sense. In this paper we show that it is solvable in pseudopolynomial time by dynamic programming.

New algorithms for coupled tasks scheduling – a survey

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The coupled tasks scheduling problem is a class of scheduling problems introduced for beam steering software of sophisticated radar devices, called phased arrays. Due to increasing popularity of such radars, the importance of coupled tasks scheduling is constantly growing. Unfortunately, most of the coupled tasks problems are NP-hard, and only a few practically usable algorithms for such problems were found. This paper provides a survey of already known complexity results of various...

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RAIRO - Operations Research

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Assume that tasks must be processed by one machine in a fixed sequence. The processing time, the preferred starting time and the earliness and tardiness costs per time unit are known for each task. The problem is to allocate each task a starting time such that the total cost incurred by the early and tardy tasks is minimum. Garey have proposed a nice log) algorithm for the special case of symmetric and task-independent costs. In this paper we first extend that algorithm to...

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RAIRO - Operations Research - Recherche Opérationnelle

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In this study, we consider a scheduling environment with ( ≥ 1) parallel machines. The set of jobs to schedule is divided into disjoint subsets. Each subset of jobs is associated with one agent. The agents compete to perform their jobs on common resources. The objective is to find a schedule that minimizes a global objective function , while maintaining the regular objective function of each agent, , at a level no greater than a fixed value, ...

Efficient weighted expressions conversion

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J. Hromkovic . have given an elegant method to convert a regular expression of size into an -free nondeterministic finite automaton having states and log ) transitions. This method has been implemented efficiently in log ) time by C. Hagenah and A. Muscholl. In this paper we extend this method to weighted regular expressions and we show that it can be achieved in log ) time.

An Improved Algorithm for a Bicriteria Batching Scheduling Problem

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RAIRO - Operations Research - Recherche Opérationnelle

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