Past analysis of public facility location has generally assumed a single goal, such as cost minimization or welfare maximization, and exogenous spatial pricing. This paper considers optimal facility location under a variety of goals. Furthermore, the facility manager is allowed to engage in freight absorption so that the delivered price to consumers need not reflect actual transportation costs. A systematic interaction among management goals, freight absorption, and the optimal size and spacing of public facilities is found.
A novel and mild metal-free catalyzed
radical-mediated cascade
spirocyclization of N-benzylacrylamides with polyhaloalkanes
is proposed for the preparation of polyhalo-substituted azaspirocyclohexadienones.
Notably, polyhaloalkanes are employed as efficient alkyl radical sources
via the cleavage of C(sp3)–H bonds. This protocol
undergoes a cascade radical addition and intramolecular cyclization/dearomatization
process, and enables the easy construction of multiple chemical bonds
and a spiro ring in a single reaction.
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