Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/20043
Title: Three scheduling problems with deteriorating jobs to minimize the total completion time
Authors: Ng, CT 
Cheng, TCE 
Bachman, A
Janiak, A
Issue Date: 2002
Source: Information processing letters, 2002, v. 81, no. 6, p. 327-333
Abstract: In this paper, three scheduling problems with deteriorating jobs to minimize the total completion time on a single machine are investigated. By a deteriorating job, we mean that the processing time of the job is a function of its execution start time. The three problems correspond to three different decreasing linear functions, whose increasing counterparts have been studied in the literature. Some basic properties of the three problems are proved. Based on these properties, two of the problems are solved in O(nlogn) time, where n is the number of jobs. A pseudopolynomial time algorithm is constructed to solve the third problem using dynamic programming. Finally, a comparison between the problems with job processing times being decreasing and increasing linear functions of their start times is presented, which shows that the decreasing and increasing linear models of job processing times seem to be closely related to each other.
Keywords: Algorithms
Dynamic programming
Single machine scheduling
Start time dependent processing times
Total completion time
Journal: Information Processing Letters 
ISSN: 0020-0190
DOI: 10.1016/S0020-0190(01)00244-7
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