A branch and bound algorithm to minimize the total tardiness for m-machine permutation flowshop problems

Date

2006-10-01

Author

Chung, Chia-Shin
Flynn, James
Kırca, Ömer

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

222
views

0
downloads

The m-machine permutation flowshop problem with the total tardiness objective is a common scheduling problem, which is known to be NP-hard. Here, we develop a branch and bound algorithm to solve this problem. Our algorithm incorporates a machine-based lower bound and a dominance test for pruning nodes. We undertake a numerical study that evaluates our algorithm and compares it with the best alternative existing algorithm. Extensive computational experiments indicate that our algorithm performs better and can handle test problems with n <= 20.

Subject Keywords

Management Science and Operations Research, Modelling and Simulation, Information Systems and Management

URI

https://hdl.handle.net/11511/41897

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

DOI

https://doi.org/10.1016/j.ejor.2004.12.023

Collections

Graduate School of Natural and Applied Sciences, Article

Suggestions

OpenMETU
Core

A branch and bound algorithm to minimize the total flow time for m-machine permutation flowshop problems Chung, CS; Flynn, J; Kirca, O (Elsevier BV, 2002-10-11) The m-machine permutation flowshop problem with the total flow-time objective is a common scheduling problem, which is known to be NP-hard for m greater than or equal to 2. In this article, we develop a branch and bound algorithm to solve both the weighted and unweighted version of this problem. Our algorithm incorporates a new machine-based lower bound and a dominance test for pruning nodes. Computational experiments suggest that the algorithm can handle test problems with n less than or equal to 15. It al...
A conic quadratic formulation for a class of convex congestion functions in network flow problems Gürel, Sinan (Elsevier BV, 2011-06-01) In this paper we consider a multicommodity network flow problem with flow routing and discrete capacity expansion decisions. The problem involves trading off congestion and capacity assignment (or expansion) costs. In particular, we consider congestion costs involving convex, increasing power functions of flows on the arcs. We first observe that under certain conditions the congestion cost can be formulated as a convex function of the capacity level and the flow. Then, we show that the problem can be effici...
A flexible flowshop problem with total flow time minimization Azizoğlu, Meral; Kondakci, S (Elsevier BV, 2001-08-01) In this study, we consider total flow time problem in a flexible flowshop environment. We develop a branch and bound algorithm to find the optimal schedule. The efficiency of the algorithm is enhanced by upper and lower bounds and a dominance criterion. Computational experience reveals that the algorithm solves moderate sized problems in reasonable solution times.
A NEW HEURISTIC APPROACH FOR THE MULTIITEM DYNAMIC LOT-SIZING PROBLEM KIRCA, O; KOKTEN, M (Elsevier BV, 1994-06-09) In this paper a framework for a new heuristic approach for solving the single level multi-item capacitated dynamic lot sizing problem is presented. The approach uses an iterative item-by-item strategy for generating solutions to the problem. In each iteration a set of items are scheduled over the planning horizon and the procedure terminates when all items are scheduled. An algorithm that implements this approach is developed in which in each iteration a single item is selected and scheduled over the planni...
Multi-objective integer programming: A general approach for generating all non-dominated solutions Oezlen, Melih; Azizoğlu, Meral (Elsevier BV, 2009-11-16) In this paper we develop a general approach to generate all non-dominated solutions of the multi-objective integer programming (MOIP) Problem. Our approach, which is based on the identification of objective efficiency ranges, is an improvement over classical epsilon-constraint method. Objective efficiency ranges are identified by solving simpler MOIP problems with fewer objectives. We first provide the classical epsilon-constraint method on the bi-objective integer programming problem for the sake of comple...

Citation Formats

C.-S. Chung, J. Flynn, and Ö. Kırca, “A branch and bound algorithm to minimize the total tardiness for m-machine permutation flowshop problems,” EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, pp. 1–10, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41897.