Inequalities and Bounds in Stochastic Shop Scheduling
نویسندگان
چکیده
منابع مشابه
Improved Bounds for Acyclic Job Shop Scheduling
In acyclic job shop scheduling problems there are jobs and machines. Each job is composed of a sequence of operations to be performed on different machines. A legal schedule is one in which within each job, operations are carried out in order, and each machine performs at most one operation in any unit of time. If denotes the length of the longest job, and denotes the number of time units reque...
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In flow shop scheduling there are m machines and n jobs, such that every job has to be processed on the machines in the fixed order 1, . . . , m. In the permutation flow shop problem, it is also required that each machine processes the set of all jobs in the same order. Formally, given n jobs along with their processing times on each machine, the goal is to compute a single permutation of the j...
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We resolve an open question raised by Feige & Scheideler by showing that the best known approximation algorithm for flow shops is essentially tight with respect to the used lower bound on the optimal makespan. We also obtain a nearly tight hardness result for the general version of flow shops, where jobs are not required to be processed on each machine. Similar results hold true when the object...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 1984
ISSN: 0036-1399,1095-712X
DOI: 10.1137/0144062