Mixed-model sequencing to minimize utility work and the risk of conveyor stoppage
Article Abstract:
The mixed-model assembly line sequencing problem with constant cycle time is explored. Specifically, the study focuses on the problem of sequencing N products on an assembly line with the objectives of minimizing the risk of conveyor stoppage and lessening the total utility work. In a single station with inconsistent processing times, the problem is demonstrated to be NP-hard for each of the objectives. For a single station with two product types, each having a constant processing time, a sequence that minimizes both objectives can be determined in O(log N) computation time by developing an algorithm. Because the total utility work is minimized, the algorithm lessens the aggregate stoppage time between the arrival of the first product and the departure of the last product. The objective values obtained from the single station can also act as lower bounds for algorithm development or performance analysis for multiple-criterion, multiple-station problems.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1995
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Operator assignment and the parametric preflow algorithm
Article Abstract:
The operator assignment problem pertains to the issue of maximizing the use of human operators assigned to perform operations using manufacturing systems in cases when the there is a given set of operations to accomplish, a specified work load for every one of these operations, and a given set of operators who are all skilled to perform certain aspects of the job. The primary motivation for resolving this problem is to be able to use the manufacturing system to its maximum capacity. The operator assignment problem, modelled as a network flow problem, was considered. The resolution of this problem treated as a parametric sequence of network maximum flow problems using Gallo, Grigoriadis and Tarjan's 'parametric preflow' was demonstrated.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1992
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Pathwise convexity and its relation to convergence of time-average derivatives
Article Abstract:
Infinitesimal perturbation analysis (IPA) is an approach used in the dealing with the problem of arriving at efficient derivative estimators for steady-state performance measures of stochastic systems. One theoretical aspect of the IPA has been causing much concern is its consistency. The issue was addressed by extending J.-Q. Hu's pathwise convexity method introduced in 1991. This approach was extended to demonstrate its effectivity in obtaining consistency of the infinitesimal perturbation analysis derivative estimator when applied to the G/G/1 queueing setting. Application of the method to stochastic storage theory and queuing networks was also demonstrated.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1992
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