2016
DOI: 10.1155/2016/6124734
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Minimizing Total Earliness and Tardiness for Common Due Date Single-Machine Scheduling with an Unavailability Interval

Abstract: This paper addresses the problem of schedulingnindependent jobs on a single machine with a fixed unavailability interval, where the aim is to minimize the total earliness and tardiness (TET) about a common due date. Two exact methods are proposed for solving the problem: mixed integer linear programming formulations and a dynamic programming based method. These methods are coded and tested intensively on a large data set and the results are analytically compared. Computational experiments show that the dynamic… Show more

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Cited by 13 publications
(7 citation statements)
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References 44 publications
(69 reference statements)
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“…As many as ten problem instances, i.e., the number of jobs 5,10,15,20,25,30,35,40,45,50, are generated randomly. For each instance, the machine has three modes: slow (mode 1), standard (mode 2), and fast (mode 3).…”
Section: Problem Instance and Parametersmentioning
confidence: 99%
See 1 more Smart Citation
“…As many as ten problem instances, i.e., the number of jobs 5,10,15,20,25,30,35,40,45,50, are generated randomly. For each instance, the machine has three modes: slow (mode 1), standard (mode 2), and fast (mode 3).…”
Section: Problem Instance and Parametersmentioning
confidence: 99%
“…It can be implied that although research in single machine JIT scheduling is ubiquitous [27,[35][36][37], there has been no previous research that combines the single machine JIT scheduling with energy consumption attributed to the machine's speed. The difference between the research and the previous research on single machine JIT is the objective function.…”
mentioning
confidence: 99%
“…Scheduling with due date constraint [1,2] has been widely studied in the field of combinatorial optimization, such as minimizing tardiness [3], lateness [4], or the number of late jobs [5]. Among all the criteria related to the due date, late work [6] and early work [7] are a pair of symmetrical objectives, in which the former one indicates the loss once a job is finished after its due date, while the latter one implies the profit when a job starts execution before this time.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, the problem of minimizing the costs associated with delays was investigated [7]. In another study, mixed integer linear programming and dynamic programming methods were tested on a large data set in a single machine environment to minimize the total early delay with a common delivery date [8]. One study aimed to minimize the cost penalty function, which includes total early penalties such as delay [9].…”
Section: Introductionmentioning
confidence: 99%