In chain sampling plan, the sampling inspection has the criteria for acceptance and non-acceptance of the lot depends in part on the results of the inspection of immediately preceding lot.� Chain sampling plans allow significant reduction in sample size under conditions of a continuing succession of lots from a stable supplier. In this paper, a procedure for constructing a Chain Sampling Plan-2 (ChSP-2) indexed through a parameter �which is a convex combination of AOQL (Average Outgoing Quality Limit) and MAAOQ (Maximum Allowable Average Outgoing Quality) with gain parameter l is given. This plan may safeguard the interests of both producer as well as consumer by properly choosing a right combination using the gain parameter l. Tables are also constructed for the easy selection of the plan.