This paper develops an integrated imperfect production-inventory system consisting of a retailer and a manufacturer who produces breakable items. As breakable items are very sensitive to transport, in this paper, to stimulate the retailer, the manufacturer offers (1) free transportation subject to the condition that the retailer must have to order a minimum replenishment quantity specified by the manufacturer and (2) a credit period depending on the replenishment quantity. Moreover, malfunctioning of the production system increases due to several kinds of problem and consequently it produces a mixture of perfect and imperfect quality items. So, to maintain the reliability of the production system, development cost has been incorporated. Also to aware the customer about the reliability of the production system, the manufacturer has paid attention to give a constant amount of advertisement regularly during his/her production period. Henceforth, the advertisement dependent demand has been considered here. Under such circumstances, an integrated profit function has been developed and solved by branch and bound technique to obtain the optimum values of the system. From numerical studies, it is revealed that in case of incorporation of the advertisement, the retailer’s average profit, the manufacturer’s average profit and the average integrated profit are higher than that in the case without advertisement.

本文开发了一个由零售商和制造易碎物品的制造商组成的集成的不完善的生产库存系统。由于易碎物品对运输非常敏感，因此在本文中，为了刺激零售商，制造商提供（1）免费运输，但前提是零售商必须订购制造商指定的最小补货数量，并且（2）信用期取决于补货数量。而且，由于多种问题，生产系统的故障增加了，因此，它产生了完美和不完美质量项目的混合。因此，为了维持生产系统的可靠性，已计入开发成本。也要使客户了解生产系统的可靠性，制造商已注意在其生产期间定期提供恒定数量的广告。从此以后，这里考虑了依赖广告的需求。在这种情况下，已经开发出了综合利润函数，并通过分支定界技术进行求解，以获得系统的最优值。从数值研究中可以看出，在没有广告的情况下，零售商的平均利润，制造商的平均利润和平均综合利润要高于没有广告的情况。已经开发了集成的利润函数，并通过分支定界技术进行求解，以获得系统的最优值。从数值研究中可以看出，在没有广告的情况下，零售商的平均利润，制造商的平均利润和平均综合利润要高于没有广告的情况。已经开发了集成的利润函数，并通过分支定界技术进行求解，以获得系统的最优值。从数值研究中可以看出，在没有广告的情况下，零售商的平均利润，制造商的平均利润和平均综合利润要高于没有广告的情况。