Knapsack-based Algorithms for Designing Cellular Manufacturing Systems

In this paper, we use a 0–1 linear programming model for the machine assignment problem in cellular manufacturing. The formulated machine assignment problem considers many manufacturing factors such as machine utilization cost, cost of intercellular moves, part demand, and operating time capacity. The problem is shown to be NP-complete. Two designing algorithms are proposed to exploit the problem structure of the knapsack problem. Computational experience of the two algorithms is also reported.     

Asymptotically distribution-free aligned rank order tests for composite hypotheses for general multivariate linear models

For general multivariate linear models, a composite hypothesis does not usually induce invariance of the joint distribution under appropriate groups of transformations, so that genuinely distribution-free tests do not usually exist. For this purpose, some aligned rank order statistics are incorporated in the proposal and study of a class of asymptotically distribution-free tests. Tests for the parallelism of several multiple regression surfaces are also considered. Finally the optimal properties of these tests are discussed.Work supported by the Air Force Office of Scientific Research, AFSC, USAF, Contract Nos: AFOSR-74-2736 and AFOSR-76-2927. Reproduction in whole or part is permitted for any purpose of the U.S. Government     

Transition-metal chemistry of oxime-containing ligands—XXVII. Five- and six-coordinate complexes of iron(II) and iron(III) with 2,6-diacetylpyridine

Iron(II) and iron(III) complexes of 2,6-diacetylpyridine dioxime (H₂dapd) have been prepared and their electronic and structural properties investi     

Binding energy of finite nuclei in Jastrow-Factor-Cluster method with applications in helium

A general expression for the binding energy of finite nuclei in the Jastrow-Factor-Cluster method is developed upto the three-body cluster term with centre of mass correction. It is applied in massA=3 and 4 with the standard Chakkalakal function and the average Pauli condition. Compared to the previous work of Afnan (1969) better saturation properties are obtained for two- and three-body truncation. Convergence is also better.     

Rank procedures for testing subhypotheses in linear regression

Summary In the linear regression modelX _i=α+βc_i+Z_i, we consider the problem of testing the subhypothesis that some (but not all) components of β are equal to 0. A class of asymptotically distribution-free tests based on a quadratic form in aligned rank statistic is studied and the asymptotic relative efficiencies of the proposed tests with respect to the general likelihood ratio test and the test based on least-squares estimates of regression parameters are derived. Asymptotic optimality (à la Wald) is also discussed. Work done under the National Science Foundation Grant MCS 8301409 and NATO Grant 1465.     

Tetrahedral and octahedral coordination for cobalt(II) complexes of N-isopropyl-2-pyrrolidinone

Complexes of the formulas [Co(NIPP)₄](ClO₄)₂ and [Co(NIPP)₆](ClO₄)₂ have been synthesized and isolated (NIPP = N-isopropyl-2-pyrrolidinone). IR spectra and conductance data are presented as proof that perchlorate coordination in [Co(NIPP)₄](ClO₄)₂ does not occur. Vibrational spectra indicate that coordination occurs through the NIPP carbonyl oxygen for both complexes. Spectral parameters obtained from the electronic spectra and magnetic moments indicate tetrahedral and octahedral coordination for [Co(NIPP)₄](ClO₄)₂ and [Co(NIPP)₆](ClO₄)₂, respectively. The powder X-ray diffraction data appear to support the assignments of these two geometries. The crystal-field prediction that Δ(T_d)/Δ(O_h) = 0.44 is in reasonably good agreement with the experimental results.