  We propose an extension with deterministically timed multiactions of discrete
time stochastic and immediate Petri box calculus (dtsiPBC), previously
presented by I.V. Tarasyuk, H. Maci\`a and V. Valero. In dtsdPBC, non-negative
integers specify multiactions with fixed (including zero) time delays. The step
operational semantics is constructed via labeled probabilistic transition
systems. The denotational semantics is defined on the basis of a subclass of
labeled discrete time stochastic Petri nets with deterministic transitions. The
consistency of both semantics is demonstrated. In order to evaluate
performance, the corresponding semi-Markov chains and (reduced) discrete time
Markov chains are analyzed.
