Online Distribution and Load Balancing Optimization Using the Robin Hood and Johnson Hybrid Algorithm

Document Type : Original Manuscript


1 Ph.D. Candidate, Department of Management and Accounting, Qazvin Branch, Islamic Azad University, Qazvin, Iran

2 Associate Professor, Department of industrial engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran



Proper planning of assembly lines is one of the production managers’ concerns at the tactical level so that it would be possible to use the machine capacity, reduce operating costs and deliver customer orders on time. The lack of an efficient method in balancing assembly line can create threatening problems for manufacturing organizations. The use of assembly line balancing methods cannot balance load distribution on the assembly line which can cause higher depreciation of machinery heir related problems in the assembly line. In the present paper Robin Hood and Johnson algorithm combined approach is used for the problem of load distribution and optimized online load balance, based on the optimized order of works on the assembly line for polymer cover print in Iran Plot Company the results of which are analyzed in terms of creating load balance in the assembly line. The results that we have obtained in the present study include the uniform load distribution of orders to the machines and the presence of reservations and backup machine that causes the production process to continue with a proper sequence and the priority without any interruption.

Graphical Abstract

Online Distribution and Load Balancing Optimization Using the Robin Hood and Johnson Hybrid Algorithm


What is your main contribution to the field?

In this paper, we seek to the assembly line both in terms of time and load distribution on the print line of polymer covers used in food packaging industry which consists of Heli gravure Printing, laminating, cutting and packaging machines.

What is novel? In theory, in experimental techniques, or a combination of both?

 Due to restrictions of assembly line balancing algorithms and neglecting the workload in machines, to balance the mentioned assembly lines, a Robin Hood algorithm which performs online workload balancing in the assembly lines is used. Johnson algorithm is used to determine the sequence of orders to allocate the job order to the Robin Hood algorithm.

 Does your paper have industrial applications? If yes, who are the likely users?

Yes, there are various applications in automotive, pharmaceutical, packaging companies. Also it may be use to optimizing the line balancing and scheduling in the production lines.


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