In this paper, we developed a time dependent deteriorating inventory model with ramp type demand. Deterioration rate is taken as two parameters Weibull distribution. In this study, a more realistic scenario was assumed where part of the shortage was backordered and the rest was lost with time dependent backlogging rate. The environment of the whole study has been taken as inflationary. The whole combination of the setup is very unique and more practical. Finally, numerical example is presented to demonstrate the developed model and the solution procedure.

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