A branch-and-bound algorithm for minimizing the total completion time in two-machine flowshop problem subject to release dates

2009 ◽  
Author(s):  
Mohamed Ali Rakrouki ◽  
Talel Ladhari
Keyword(s):  
Branch And Bound ◽  
Completion Time ◽  
Branch And Bound Algorithm ◽  
Total Completion Time ◽  
Release Dates ◽  
Flowshop Problem

Bicriteria Scheduling on a Single Batching Machine with Transportation and Deterioration to Minimize Total Completion Time and Production Costs

2017 ◽  
Vol 34 (03) ◽  
pp. 1740014 ◽  
Author(s):  
Hua Gong ◽  
Ermei Zhang ◽  
Fang Liu
Keyword(s):  
Branch And Bound ◽  
Exposure Time ◽  
General Problem ◽  
Completion Time ◽  
Production Costs ◽  
Branch And Bound Algorithm ◽  
Total Completion Time ◽  
Inventory Level ◽  
Pareto Optimal ◽  
Batching Machine

In this paper, we consider a coordinated scheduling problem on a single batching machine with transportation and deterioration. The jobs are transported by a vehicle to the single batching machine for further processing. The processing time of a job is a step increasing function of its exposure time which is equivalent to the time interval from the beginning of the transportation to the starting of the job on the machine. The objective is to find Pareto-optimal schedules with two performance criteria (total completion time and the number of batches) to balance the inventory level and the production costs. We prove that the general problem is strongly NP-hard. We further develop polynomial-time algorithms for two special cases with a fixed job sequence and without exposure time limit, respectively. For the general problem, we develop a heuristic algorithm and a branch and bound algorithm. Computational experiments show that the heuristic algorithms perform well on randomly generated problem instances, and the branch and bound algorithm can obtain Pareto-optimal solutions for the small-scaled instances.

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