Two-Machine Open Shop Scheduling with Proportionally Deteriorating Jobs and Makespan Objective

Journal of Optimization in Industrial Engineering

دوره 15، شماره 2 - شماره پیاپی 33، آذر 2022، صفحه 313-321   

نوع مقاله: Original Manuscript

شناسه دیجیتال (DOI): 10.22094/joie.2022.1949101.1926

نویسنده

Ching-Fang Liaw^*

Department of Industrial Engineering and Management, Chaoyang University of Technology, Taichung, Taiwan

چکیده

This manuscript examines the two-machine open shop scheduling problem where the latter a job is scheduled the longer it takes to process this job. The performance is measured by minimizing the makespan. By modifying existing algorithms for the corresponding problem with fixed processing times, two new algorithms are developed for the problem under consideration. The proofs of optimality of both algorithms are presented. The execution of these algorithms is illustrated by two numerical examples. Finally, both algorithms are further modified to solve a more generalized problem where the time demanded to process a job is a general linear function of its beginning time.

کلیدواژه‌ها

scheduling؛ open shop؛ deteriorating jobs؛ makespan

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