An imperfect production inventory model with advance payment and credit period in a two-echelon supply chain management

This paper presents an integrated imperfect production inventory model under two layer supply chain management. To ensure the orders, manufacturer convinces retailer to pay a percentage of purchasing cost prior replenish products and offers facilities such as (i) delay in payment on remaining part (ii) free transportation basis advance amount. Time dependent development is incurred maintain reliability system result it reduces imperfectness product during production. Under circumstances, profit function has been developed find optimum number cycle, replenishment cycle hence parameter manufacturing system, quantity for which maximize profit. Branch Bound technique used obtain integer solutions. Furthermore, we derived some useful lemmas algorithms solution. Finally, illustrated with numerical examples exploring sensitivity analysis respect parameters obtains managerial insights.