A Multi-mode, Multi-class Dynamic Network Model With Queues For Advanced Transportation Information Systems

In this paper we propose a composite Variational Inequality formulation for modeling multimode, multi-class stochastic dynamic user equilibrium problem in recurrent congestion networks with queues. The modes typically refer to different vehicle types such as passenger cars, trucks, and buses sharing the same road space. Each vehicle type has its own characteristics, such as free flow speed, vehicle size. We extend single mode deterministic point model to multimode deterministic point model for modeling the asymmetric interactions among various modes. Meanwhile, each mode of travelers is classified into two classes. Class 1 is equipped travelers following stochastic dynamic user-equilibrium with less uncertainty of travel cost, class 2 is unequipped travelers following stochastic dynamic user-equilibrium with more uncertainty of travel cost. A solution algorithm based on stochastic dynamic network loading for logit-based simultaneous route and departure time choices is adopted. Finally a numerical example is presented in a simple network

Aqua­cyanido{6,6′-dimeth­oxy-2,2′-[1,2-phenyl­enebis(nitrilo­methanylyl­idene)]diphenolato}cobalt(III) acetonitrile hemisolvate

In the title complex, [Co(C22H18N2O4)(CN)(H2O)]·0.5CH3CN, the CoIII cation is N,N′,O,O′-chelated by a 6,6′-dimeth­oxy-2,2′-[1,2-phenyl­enebis(nitrilo­methanylyl­idene)]diphenolate dianion, and is further coordinated by a cyanide anion and a water mol­ecule in the axial sites, completing a distorted octa­hedral coordination geometry. In the crystal, pairs of bifurcated O—H⋯(O,O) hydrogen bonds link adjacent mol­ecules, forming centrosymmetric dimers. The acetonitrile solvent mol­ecule shows 0.5 occupancy

Poly[tetra­aquadi-μ4-oxalato-potassium­ytterbium(III)]

In the title compound, [KYb(C2O4)2(H2O)4]n, the YbIII ion lies on a site of symmetry in a dodeca­hedral environment defined by eight O atoms from four oxalate ligands. The K atom lies on a different axis and is coordinated by four O atoms from four oxalate ligands and four water O atoms. The oxalate ligand has an inversion center at the mid-point of the C—C bond. The metal ions are linked by the oxalate ligands into a three-dimensional framework. O—H⋯O hydrogen bonding is present in the crystal structure

{6,6′-Dimeth­oxy-2,2′-[(cyclo­hexane-1,2-di­yl)bis­(nitriliomethyl­idyne)]diphenolato}trinitratolanthanum(III) methanol monosolvate

In the title mononuclear complex, [La(NO3)3(C22H26N2O4)]·CH3OH, the LaIII ion is coordinated by three bidentate nitrate counter-ions and one zwitterionic 6,6′-dimeth­oxy-2,2′-[(cyclo­hexane-1,2- di­yl)bis­(nitriliomethyl­idyne)]diphenolate ligand through two phenolate and two meth­oxy O atoms, while the protonated N atoms remain uncoordinated. H atoms located on the two N atoms are involved in intra­molecular hydrogen bonds with the deprotonated phenol O atoms, indicating that proton migration occurs during the lanthanum complexation

Aqua­(cyanido-κC){6,6′-dimeth­oxy-2,2′-[o-phenyl­enebis(nitrilo­methanylyl­idene)]diphenolato-κ4 O 1,N,N′,O 1′}cobalt(III) acetonitrile monosolvate

In the title complex, [Co(C22H18N2O4)(CN)(H2O)]·CH3CN, the CoIII ion is six-coordinated in a distorted octa­hedral environment defined by two N atoms and two O atoms from a salen ligand in the equatorial plane and one O atom from a water mol­ecule and one C atom from a cyanide group at the axial positions. O—H⋯O hydrogen bonds connect adjacent complex mol­ecules into dimers. C—H⋯N hydrogen bonds and π–π inter­actions between the benzene rings [centroid–centroid distances = 3.700 (2) and 3.845 (2) Å] are also present

[N,N′-Bis(3-meth­oxy-2-oxidobenzyl­idene)ethyl­enediammonium-κ4 O,O′,O′′,O′′′]tris­(nitrato-κ2 O,O′)dysprosium(III)

In the title mononuclear Schiff base complex, [Dy(NO3)3(C18H20N2O4)], the DyIII ion is ten-coordinated in a distorted hexa­deca­hedral geometry by six O atoms of three nitrate anions and four O atoms of the Schiff base ligand. An intra­molecular N—H⋯O hydrogen bond occurs. The crystal structure is stabilized by inter­molecular C—H⋯O hydrogen bonds

Poly[tetra­aquadi-μ4-oxalato-lutetium(III)potassium]

In the title compound, [KLu(C2O4)2(H2O)4]n, the LuIII ion lies on a site of symmetry in a dodeca­hedron defined by eight O atoms from four oxalate ligands. The K atom lies on another site of the same symmetry and is coordinated by four oxalate O atoms and four O water atoms. The mid-point of the C—C bond of the oxalate group lies on an inversion center. In the packing structure, each oxalate ligand links two Lu(III) and two K atoms, forming a three-dimensional open framework with channels running along [001]. Inter­molecular O—H⋯O hydrogen bonds occur

{μ-6,6′-Dimeth­oxy-2,2′-[cyclo­hexane-1,2-diylbis(nitrilo­methyl­idyne)]diphenolato}methanol-μ-nitrato-dinitratocopper(II)europium(III)

In the title dinuclear salen-type complex, [CuEu(C22H24N2O4)(NO3)3(CH3OH)], the CuII ion is five-coordinated to two imine N atoms and two phenolate O atoms and one O from the bridging nitrate group. The EuIII ion is ligated to three nitrate groups, four O atoms from the salen-type ligand and one methanol mol­ecule, leading to a distorted tenfold coordination for the rare earth cation. One of the three nitrate anions is disordered over two positions in a 0.66 (5):0.34 (5) ratio

{μ-6,6′-Dimeth­oxy-2,2′-[propane-1,3-diylbis(nitrilo­methyl­idyne)]diphenolato}trinitratocopper(II)europium(III)

In the title complex, [CuEu(C19H20N2O4)(NO3)3], the CuII ion is four-coordinated in a square-planar geometry by two O atoms and two N atoms of the deprotonated Schiff base. The EuIII atom is ten-coordinate, chelated by three nitrate groups and linked to the four O atoms of the deprotonated Schiff base