AbstractAssuming that numerical scores are available for the performance of each
of n persons on each of n jobs, the “assignment problem” is the quest for an
assignment of persons to jobs so that the sum of the n scores so obtained is as
large as possible. It is shown that ideas latent in the work of two Hungarian
mathematicians may be exploited to yield a new method of solving this problem.
AbstractEach of a collection of items are to be produced on two machines (or
stages). Each machine can handle only one item at a time and each item must be
processed through machine one and then through machine two. The setup time plus
work time for each item for each machine is known. A simple decision rule is
obtained in this paper for the optimal scheduling of the production so that the
total e... hiện toàn bộ
AbstractIn recent papers by Kirkpatrick et al., an analogy between the
statistical mechanics of large multivariate physical systems and combinatorial
optimization has been presented and used to develop a general strategy for
solving discrete optimization problems. The method relies on probabilistically
accepting intermediate increases in the objective function through a set of
user‐controlled para... hiện toàn bộ
AbstractMany optimization problems occur in both theory and practice when one
has to optimize an objective function while an infinite number of constraints
must be satisfied. The aim of this paper in to describe methods of handling such
problems numerically in an effective manner. We also indicate a number of
applications.
AbstractA single machine is available to process a collection of stochastic
jobs. There may be technological constraints on the job set. The machine
sometimes breaks down. Costs are incurred and rewards are earned during
processing. We seek strategies for processing the jobs which maximize the total
expected reward earned.
AbstractConsider an experiment in which only record‐breaking values (e.g.,
values smaller than all previous ones) are observed. The data available may be
represented as X1,K1,X2,K2, …, where X1,X2, … are successive minima and K1,K2, …
are the numbers of trials needed to obtain new records. We treat the problem of
estimating the mean of an underlying exponential distribution, and we consider
both f... hiện toàn bộ
AbstractA job shop must fulfill an order for N good items. Production is
conducted in “lots,” and the number of good items in a lot can be accurately
determined only after production of that lot is completed. If the number of good
items falls short of the outstanding order, the shop must produce further lots,
as necessary.Processes with “constant marginal production efficiency” are
investigated. T... hiện toàn bộ
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