Skip to Main content Skip to Navigation
New interface
Journal articles

Minimizing the number of workers in a paced mixed-model assembly line

Abstract : We study a problem of minimizing the maximum number of identical workers over all cycles of a paced assembly line comprised of m stations and executing n parts of k types. There are lower and upper bounds on the workforce requirements and the cycle time constraints. We show that this problem is equivalent to the same problem without the cycle time constraints and with fixed workforce requirements. We prove that the problem is NP-hard in the strong sense if and the workforce requirements are station independent, and present an Integer Linear Programming model, an enumeration algorithm and a dynamic programming algorithm. Polynomial in k and polynomial in n algorithms for special cases with two part types or two stations are also given. Relations to the Bottleneck Traveling Salesman Problem and its generalizations are discussed.
Complete list of metadata

Cited literature [48 references]  Display  Hide  Download
Contributor : Florent Breuil Connect in order to contact the contributor
Submitted on : Monday, July 16, 2018 - 1:52:43 PM
Last modification on : Thursday, November 17, 2022 - 4:48:10 PM
Long-term archiving on: : Wednesday, October 17, 2018 - 2:37:18 PM


WorkersTSP 9 March.pdf
Files produced by the author(s)



Xavier Delorme, Alexandre Dolgui, Sergey Kovalev, Mikhail Kovalyov. Minimizing the number of workers in a paced mixed-model assembly line. European Journal of Operational Research, 2019, 272 (1), pp.188 - 194. ⟨10.1016/j.ejor.2018.05.072⟩. ⟨emse-01840007⟩



Record views


Files downloads