1982
DOI: 10.1287/opre.30.2.391
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Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem

Abstract: We consider an n job, one machine scheduling problem in which all jobs have a common due date. The objective is to determine the optimal value of this due date and an optimal sequence to minimize a total penalty function. This penalty function is based on the due date value and on the earliness or the lateness of each job in the selected sequence. We present a polynomial bound scheduling algorithm for the solution of this problem along with the proof of optimality, a numerical example and discuss some extensio… Show more

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Cited by 381 publications
(142 citation statements)
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“…Among the most significant contributions, Cheng and Gupta [48] review due-date assignment approaches up to 1990, whereas Gordon et al [46] review more recent publications (up to 2002). In most works, the due-date assignment problem is treated using benchmarking instances [49], single-resource problems [50,51] or is focused on assembly shops [52]. Moreover, the calculation of due dates in ETO environments is relatively mistreated.…”
Section: Order Due-date Assignmentmentioning
confidence: 99%
“…Among the most significant contributions, Cheng and Gupta [48] review due-date assignment approaches up to 1990, whereas Gordon et al [46] review more recent publications (up to 2002). In most works, the due-date assignment problem is treated using benchmarking instances [49], single-resource problems [50,51] or is focused on assembly shops [52]. Moreover, the calculation of due dates in ETO environments is relatively mistreated.…”
Section: Order Due-date Assignmentmentioning
confidence: 99%
“…In [75], β j = β, γ j = γ and α j = α; in [3], β j = β, γ j = γ and α j = 0; in [21], β j = γ j = w j and α j = 0; in [24], β j = γ j = w j and α j = α. In this problem, it is easy to show that the optimal due date d is equal to the completion time of some job j * , i.e., d = C j * .…”
Section: Equal Order Arrival Timesmentioning
confidence: 99%
“…and this objective function has been studied by, for example, Panwalkar et al (1982), Emmons (1987), and Bagchi et al (1987). The objective function arising in the case new, cdd, ns (and cpt or ncpt) has been studied, for example, by Ahmed and Sundararaghavan (1990), Cheng (1987), Emmons (1987), Ouaddus (1987), Bector et al (1988), Baker and Scudder (1989), Hall and Posner (1991), and Hoogeveen and van de Velde (1991).…”
Section: =1 1=1mentioning
confidence: 99%