  We consider a cyclic analogue of multiple zeta values (CMZVs), which has two
kinds of expressions; series and integral expression. We prove an
`integral$=$series' type identity for CMZVs. By using this identity, we
construct two classes of $\mathbb{Q}$-linear relations among CMZVs. One of them
is a generalization of the cyclic sum formula for multiple zeta-star values. We
also give an alternative proof of the derivation relation for multiple zeta
values.
