Organizations often fulfil their storage needs by supplementing their
own warehouse with leased space, a scenario modeled here under the ass
umption of constant product demand. Closed-form formulae are obtained
for the decision variables of interest, namely, the replenishment lot
size and the warehouse size, as well as the amount of space to lease.
Cost savings due to leasing are shown to have an upper bound of approx
imately 29% when the optimal warehouse capacity can be installed witho
ut restrictions (such as a budgetary constraint). A numerical example
further indicates that leasing is significantly more beneficial when t
he warehouse size is tightly constrained, and that total costs are rob
ust with respect to demand fluctuations.