power of the expected gravitationally lensed supernova samples. We explore the possibilities of boosting discovery rates by combining the methods and we revisit the estimates of detections rates for ongoing and upcoming transient surveys.

Estimating discovery rates of gravitationally lensed supernovae is not merely a means for quantifying the efficiency of detection methods. Lensed supernovae can be also regarded as a cosmological tool probing a wide range of physical properties across cosmic time, e.g. volumetric rates and luminosity functions of supernovae, lens models or cosmological parameters. Observed detection rates can potentially shed light on some aspects of our current models.

The paper is organized as follows. Section 2 outlines detection methods and the potential of increasing their discovery potential by combining them. We describe the computation of discovery rates as well as the underlying lens model and volumetric supernova rates in Section 3. The results are presented in Section 4 followed by a discussion in Section 5 and concluding remarks in Section 6.We adopt a flat $\Lambda$CDM cosmological model with $\Omega_{\rm m}=0.3$ and $H_{0}=73\;{\rm km}\;{\rm s}^{-1}\;{\rm Mpc}^{-1}$.

Observational strategies
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The two main features through which strong lensing manifests itself are the multiplicity of images and the magnification of each 