Technical gazette, Vol. 22 No. 2, 2015.
Original scientific paper
https://doi.org/10.17559/TV-20150312154507
The single machine serial batch production scheduling with outsourcing allowed
Juan Zou
; (1) School of Management, Qufu Normal University, Rizhao, Shandong, 276826, China; (2) School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, 273165, China
Yuzhong Zhang
; School of Management, Qufu Normal University, Rizhao, Shandong, 276826, China
Cuixia Miao
; School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, 273165, China
Abstract
We consider several serial batch scheduling problems with outsourcing allowed. Each job can be either processed on the in-house machine or outsourced. The objective is to minimize the weighted sum of the scheduling cost and the total outsourcing cost. We discuss three classical scheduling objective functions. The first is the total completion time, the second is the maximum lateness, and the third is the weighted number of late jobs. For each problem, we derive an efficient dynamic programming algorithm that minimizes the total cost.
Keywords
dynamic programming; outsourcing; scheduling; serial batching
Hrčak ID:
138080
URI
Publication date:
22.4.2015.
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