A parallel shortest augmenting path algorithm for the assignment problem
Journal of the ACM (JACM)
Sequencing JIT mixed-model assembly lines
Management Science
Cyclic Just-In-Time Sequences Are Optimal
Journal of Global Optimization
Note: Solving symmetric mixed-model multi-level just-in-time scheduling problems
Discrete Applied Mathematics
Modeling of agile intelligent manufacturing-oriented production scheduling system
International Journal of Automation and Computing
Supply chain network equilibrium with revenue sharing contract under demand disruptions
International Journal of Automation and Computing
A simple approach to the product rate variation problem via axiomatics
Operations Research Letters
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In this paper, the sum deviation just-in-time (JIT) sequencing problem in mixed-model production systems is studied relating with the discrete apportionment problem together with their respective mathematical formulations. The assignment formulation for the first problem is briefly discussed followed by the existence of JIT cyclic sequences. Presenting the concise discussion on divisor methods for the discrete apportionment problem, we have proposed two mean-based divisor functions for this problem claiming that they are better than the existing divisors; hence, we found a better bound for the JIT sequencing problem. The linkage of both the problems is characterized in terms of similar type of objective functions. The problems are shown equivalent via suitable transformations and similar properties. The joint approaches for the two problems are discussed in terms of global and local deviations proposing equitably efficient solution.