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The minimum cost problem of downgrading minimum lateness scheduling under uncertainty | ||
Communications in Combinatorics and Optimization | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 تیر 1404 | ||
نوع مقاله: Original paper | ||
شناسه دیجیتال (DOI): 10.22049/cco.2025.30140.2332 | ||
نویسندگان | ||
Hiep Thanh Tran1، 2، 3؛ Duc Minh Phung2، 4؛ Kien Trung Nguyen* 5 | ||
1Department of Applied Mathematics, Faculty of Applied Sciences, Ho Chi Minh University of Technology (HCMUT), 268 Ly Thuong Kiet Street, District 10, Ho Chi Minh City, Vietnam | ||
2Vietnam National University Ho Chi Minh City, Linh Trung Ward, Thu Duc City, Ho Chi Minh City, Vietnam | ||
3Department of Mathematics, FPT University (HCM City Campus), Vietnam | ||
4Department of Mathematics and Physics, University of Information Technology, Ho Chi Minh City, Vietnam | ||
5Faculty of Mathematics and Informatics, Teacher College, Can Tho University, Can Tho, Vietnam | ||
چکیده | ||
The minimum lateness scheduling problem seeks to create a schedule that minimizes the largest lateness of the system. This paper deals with the challenge of increasing the processing time of jobs in a minimum cost such that the minimum lateness attains a given bound. It is called the minimum cost problem of downgrading minimum lateness scheduling. Additionally, the modifying costs are represented as intervals, and we apply the minmax regret criterion to address this uncertainty. Our contribution is an $O(n^2)$ algorithm for solving the corresponding robust problem. | ||
کلیدواژهها | ||
Robust optimization؛ Downgrading problem؛ Scheduling؛ Lateness | ||
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