Journal•ISSN: 0196-6324
American Journal of Mathematical and Management Sciences
Taylor & Francis
About: American Journal of Mathematical and Management Sciences is an academic journal published by Taylor & Francis. The journal publishes majorly in the area(s): Estimator & Population. It has an ISSN identifier of 0196-6324. Over the lifetime, 758 publications have been published receiving 6075 citations.
Papers published on a yearly basis
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TL;DR: The single-vehicle dial-a-ride problem with time window constraints for both pick-up and delivery locations, and precedence and capacity constraints, is solved using a forward dynamic programming algorithm.
Abstract: SYNOPTIC ABSTRACTThe single-vehicle dial-a-ride problem with time window constraints for both pick-up and delivery locations, and precedence and capacity constraints, is solved using a forward dynamic programming algorithm. The total distance is minimized. The development of criteria for the elimination of infeasible states results in solution times which increase linearly with problem size.
260 citations
TL;DR: In this article, the kth nearest neighbor distance between the n sample points, where k (< n − 1) is a fixed positive integer, is used to estimate the entropy of internal rotation in the methanol molecule and of diethyl ether.
Abstract: SYNOPTIC ABSTRACTMotivated by the problems in molecular sciences, we introduce new nonparametric estimators of entropy which are based on the kth nearest neighbor distances between the n sample points, where k (< n – 1) is a fixed positive integer. These provide competing estimators to an estimator proposed by Kozachenko and Leonenko (1987), which is based on the first nearest neighbor distances of the sample points. These estimators are helpful in the evaluation of entropies of random vectors. We establish the asymptotic unbiasedness and consistency of the proposed estimators. For some standard distributions, we also investigate their performance for finite sample sizes using Monte Carlo simulations. The proposed estimators are applied to estimate the entropy of internal rotation in the methanol molecule, which can be characterized by a one-dimensional random vector, and of diethyl ether, which is described by a four-dimensional random vector.
213 citations
TL;DR: The results of an extensive literature survey of the Simulated Annealing algorithm for optimization problems are reported, with particular reference to the type of cooling schedule employed.
Abstract: SYNOPTIC ABSTRACTThe results of an extensive literature survey of the Simulated Annealing algorithm for optimization problems are reported. The papers and books are classified and annotated, with particular reference to the type of cooling schedule employed.
211 citations
TL;DR: In this paper, the multi-depot vehicle routing problem is reviewed and a new heuristic is presented that is fast and simple and improves upon previous best-known solutions.
Abstract: SYNOPTIC ABSTRACTIn this paper, the multi-depot vehicle routing problem is reviewed and a new heuristic is presented. The heuristic is fast and simple and improves upon previous best-known solutions. In addition, we generate a variety of new test problems. The new heuristic is shown to perform well on these problems.
143 citations
TL;DR: A state-of-the-art survey of the principal variance reduction techniques that can improve the efficiency of large-scale simulation experiments.
Abstract: SYNOPTIC ABSTRACTIn the design and analysis of large-scale simulation experiments, It Is generally difficult to estimate model performance parameters with adequate precision at an acceptable sampling cost. This paper provides a state-of-the-art survey of the principal variance reduction techniques that can Improve the efficiency of such experiments.
124 citations