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Articles

An efficient weighted partial MaxSAT encoding for scheduling in overloaded real-time systems

ORCID Icon, ORCID Icon, ORCID Icon & ORCID Icon
Pages 175-183 | Received 03 Aug 2023, Accepted 16 Dec 2023, Published online: 23 Dec 2023
 

Abstract

Scheduling tasks in overloaded real-time systems is a challenging problem that has received a significant amount of attention in recent years. The processor is overloaded with more tasks than its capacity, resulting in missed deadlines and degraded system performance. Therefore, scheduling algorithms play a critical role in ensuring that high-priority tasks are completed on time while minimizing the impact of incomplete lower-priority tasks. This paper proposes an efficient Weighted Partial MaxSAT(WPMS) encoding that returns an optimal solution in which the total weight of incomplete tasks is minimized in a single machine environment. To assess the efficiency of our proposed formulation, a comparative analysis is conducted alongside the state-of-the-art encoding. By examining the solving 75 distinct problems, it becomes evident that the WPMS encoding proposed herein exhibits a considerable advantage in terms of both time and memory efficiency.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Mohammad Mehdi Pourhashem Kallehbasti

Mohammad Mehdi Pourhashem Kallehbasti is an assistant professor at the University of Science and Technology of Mazandaran, Behshahr. His research interests are in software engineering, formal methods, and artificial intelligence.

Jamshid Pirgazi

Jamshid Pirgazi is an assistant professor at the University of Science and Technology of Mazandaran, Behshahr. His research interests are in bioinformatic and machine learning.

Ali Ghanbari Sorkhi

Ali Ghanbari Sorkhi is an assistant professor at the University of Science and Technology of Mazandaran, Behshahr. His research interests are in image processing and deep learning.

Ali Kermani

Ali Kermani is an assistant professor at the University of Science and Technology of Mazandaran, Behshahr. His research interests are in image processing and pattern recognition.

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