This paper develops a novel mesh network protection scheme that guarantees a quantifiable minimum grade of service upon a failure within the network using multipath routing. Typically, networks fully guarantee service after a single-link failure, which is often an over-provisioning of resources to maintain essential traffic for the infrequent event of a failure. Our scheme guarantees that a fraction q of each demand remains after any singlelink failure, at a fraction of the price of full protection. A linear program is developed to find the minimum-cost capacity allocation to meet both demand and protection requirements. For q ?? ??, an exact algorithmic solution for the minimum-cost routing and capacity allocation is developed using multiple shortest paths. For q > ??, an algorithm is developed based on disjoint path routing that performs, on average, within 1.4% of optimal, and runs four orders of magnitude faster than the minimum-cost solution achieved via the linear program. Moreover, the partial protection strategies developed achieve reductions of up to 83% over traditional full protection schemes.