Service quality becomes more and more important as after-sale service competitions become fierce in modern business. Scholars usually consider the joint decisions of warranty length and product price. In this paper, service quality decisions based on traditional warranty length and price optimization researches are concerned. Better service quality and warranty length can promote sales and raise the price. These three dimensions have dynamic relationship in product lifecycle, but few scholars consider them jointly. The market of consumer goods and developed optimal control problems including cost models, demand models and profit model were investigated in this paper. Manufactures' profit is optimized by choosing optimal service quality, price and warranty length jointly. The maximum principle method is used to obtain solutions. The optimal policies for static market were further investigated and Lingo11 was used to do some numerical tests for dynamic market. This research can help manufactures make better warranty policy and give consumers better warranty service.
WANG Xuan, LIU Li-wen
. Joint Warranty Decisions Research Considering Warranty Service Quality[J]. Chinese Journal of Management Science, 2016
, 24(2)
: 47
-55
.
DOI: 10.16381/j.cnki.issn1003-207x.2016.02.006
[1] 王轩,刘丽文. 静态市场下考虑重复购买的价格和质保期联合决策[J].中国管理科学,2015,23(4):70-77.
[2] Kim S H, Cohen M A, Netessine S. Performance contracting in after-sales service supply chains[J]. Management Science, 2007, 53(12):1843-1858.
[3] Cohen M A, Whang S. Competing in product and service:A product life-cycle model[J]. Management Science, 1997, 43(4):535-545.
[4] Park M, Pham H. A new warranty policy with failure times and warranty servicing times[J]. IEEE Transactions on Reliabilities, 2012, 61(3):822-831.
[5] Li L. The role of inventory in delivery-time competition[J]. Management Science, 1992, 38(2):182-197.
[6] Lederer P J, Li L. Pricing, production, scheduling, and delivery-time competition[J]. Operations Research, 1997, 45(3):407-420.
[7] So K C, Song Jingsheng. Price, delivery time guarantees and capacity selection[J]. European Journal of Operational Research, 1998, 111(1):28-49.
[8] So K C. Price and time competition for service delivery[J]. Manufactuning & Services Operations Management, 2000, 2(4):392-409.
[9] Emons W. The theory of warranty contracts[J]. Journal of Economic Surveys, 1989, 3(1):43-57.
[10] Glickman T S, Berger P D. Optimal price and protection period decisions for a product under warranty[J]. Management Science, 1976, 22(12):1381-1390.
[11] Mesak H I. Modeling monopolist pricing and protection period decisions for new products under warranty[J]. Optimal Control Applications and Methods, 1996, 17(4):231-252.
[12] Huang Hongzhong, Liu Zhijie, Murthy D N P. Optimal reliability, warranty and price for new products[J]. ⅡE Transactions, 2007, 39(8):819-827.
[13] Manna D K. Price-warranty length decision with Glickman-Berger model[J]. International Journal of Reliability and Safety, 2008, 2(3):221-233.
[14] Lin Peichun, Shue L Y. Application of optimal control theory to product pricing and warranty with free replacement under the influence of basic lifetime distributions[J]. Computers & Industrial Engineering, 2005, 48(1):69-82.
[15] Wu C C, Lin Peichun, Chou Chaoyu. Determination of price and warranty length for a normal lifetime distributed product[J]. International Journal of Production Economics, 2006, 102(1):95-107.
[16] Wu C C, Chou Chaoyun, Huang Chikong. Optimal burn-in time and warranty length under fully renewing combination free replacement and pro-rata warranty[J]. Reliability Engineering & System Safety, 2007, 92(7):914-920.
[17] Wu C C, Chou Chaoyu, Huang Chikong. Optimal price, warranty length and production rate for free replacement policy in the static demand market[J], Omega, 2009, 37(1):29-39.
[18] Wu C C, Huang Chikong, Chou Chaoyu,et al. An empirical study on the determination of price, warranty length and production rate in the static sales market[J]. Journal of the Chinese Institute of Industrial Engineers, 2009, 26(2):126-134.
[19] Lin Peichun, Wang Jenhung, Chin S S. Dynamic optimization of price, warranty length and production rate[J]. International Journal of Systems Science, 2009, 40(4):411-420.
[20] Zhou Zhefang, Li Yanjun, Tang K. Dynamic pricing and warranty policies for products with fixed lifetime[J]. European Journal of Operational Research, 2009, 196(3):940-948.
[21] Bass F M. A new product growth for model consumer durables[J]. Management Science, 1969, 15(5):215-227.
[22] Mesak H I, Berg W D. Incorporating price and replacement purchases in new product diffusion models for consumer durables[J]. Decision Sciences, 1995, 26(4):425-450.
[23] Teng J T, Thompson G L. Optimal strategies for general price-quality decision models of new products with learning production costs[J]. European Journal of Operational Research, 1996, 93(3):476-489.