Scheduling orders on either dedicated or flexible machines in parallel to minimize total weighted completion time

Joseph Leung (), Haibing Li () and Michael Pinedo ()

Annals of Operations Research, 2008, vol. 159, issue 1, 107-123

Abstract: We are interested in the problem of scheduling orders for different product types in a facility with a number of machines in parallel. Each order asks for certain amounts of various different product types which can be produced concurrently. Each product type can be produced on a subset of the machines. Two extreme cases of machine environments are of interest. In the first case, each product type can be produced on one and only one machine which is dedicated to that product type. In the second case, all machines are identical and flexible; each product type can be produced by any one of the machines. Moreover, when a machine in this case switches over from one product type to another, no setup is required. Each order has a release date and a weight. Preemptions are not allowed. The objective is minimizing the total weighted completion time of the orders. Even when all orders are available at time 0, both types of machine environments have been shown to be NP-hard for any fixed number (≥2) of machines. This paper focuses on the design and analysis of approximation algorithms for these two machine environments. We also present empirical comparisons of the various algorithms. The conclusions from the empirical analyses provide insights into the trade-offs with regard to solution quality, speed, and memory space. Copyright Springer Science+Business Media, LLC 2008

Keywords: Order scheduling; Total weighted completion time; Approximation algorithms; NP-hard (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10479-007-0270-5

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