American Institute of Mathematical Sciences

Advanced
July  2019, 15(3): 1455-1472. doi: 10.3934/jimo.2018104

Online and offline cooperation under buy-online, pick-up-in-store: Pricing and inventory decisions

Chen Fan , Yongmei Liu , , Xuehua Yang , Xiaohong Chen and  Junhua Hu

School of Business, Central South University, Changsha 410083, China

* Corresponding author: liuyongmeicn@163.com

Received  November 2017 Revised  March 2018 Published  July 2018

Fund Project: This work is supported by the National Natural Science Foundation in China (Grant No. 71271219, 71071164 and 71431006), by Major Program of National Social Science Foundation of China (Grant No. 15ZDB169), and by Innovation-Driven Programme of Central South University (Grant No. 2015CX010)

This study considered the problem of pricing and inventory decision-making where an online retailer and an offline retailer cooperate in a setting where buy-online, pick-up-in-store (BOPS) is implemented. Given the extra revenue generated from additional sales by BOPS customers who purchase additional products at the offline outlet, we considered revenue sharing, service subsidy, and inventory subsidy contracts among the coordinating supply chain partners. Optimization models under centralized and decentralized decision-making structures were established, and the solution was found for the equilibrium states of these optimization models. The results from numerical experiments were examined. We found that (1) the optimal stocking factor had different variation trends with the increase in additional sales under a centralized structure and under the three contracts in decentralized scenarios; (2) the revenue sharing contract was the most effective among the three contracts for coordinating online and offline retailers, and it was optimal for both retailers if the additional sales parameter was relatively low and offline cost share was small; and (3) an inventory subsidy contract had strong operability and steadiness under different product characteristics.

Keywords: Buy-online, pick-up-in-store, channel coordination, pricing, inventory management.
Mathematics Subject Classification: Primary: 90B05, 90B50; Secondary: 91A40.
Citation: Chen Fan, Yongmei Liu, Xuehua Yang, Xiaohong Chen, Junhua Hu. Online and offline cooperation under buy-online, pick-up-in-store: Pricing and inventory decisions. Journal of Industrial & Management Optimization, 2019, 15 (3) : 1455-1472. doi: 10.3934/jimo.2018104
References:
[1]

R. E. Barlow and F. Proschan, Mathematical Theory of Reliability, John Wiley and Sons, New York, 1965.  Google Scholar

[2]

D. R. Bell, S. Gallino and A. Moreno, Offline Showrooms in Omni-Channel Retail: Demand and Operational Benefits, Available at SSRN 2370535, December 24, 2016. Google Scholar

[3]

R. Bhalla, The omni-channel customer experience: Driving engagement through digitisation, Journal of Digital and Social Media Marketing, 1 (2014), 365-372.   Google Scholar

[4]

G. P. Cachon and M. A. Lariviere, Supply chain coordination with revenue-sharing contracts: Strengths and limitations, Management Science, 51 (2005), 30-44.  doi: 10.1287/mnsc.1040.0215.  Google Scholar

[5]

G. G. Cai, Channel selection and coordination in dual-channel supply chains, Journal of Retailing, 86 (2010), 22-36.  doi: 10.1016/j.jretai.2009.11.002.  Google Scholar

[6]

G. G. Cai, Z. G. Zhang and M. Zhang, Game theoretical perspectives on dual-channel supply chain competition with price discounts and pricing schemes, International Journal of Production Economics, 117 (2009), 80-96.  doi: 10.1016/j.ijpe.2008.08.053.  Google Scholar

[7]

P. Chatterjee, Causes and consequences of 'order online pick up in-store' shopping behavior, The International Review of Retail, Distribution and Consumer Research, 20 (2010), 431-448.  doi: 10.1080/09593969.2010.504009.  Google Scholar

[8]

J. Chen, H. Zhang and Y. Sun, Implementing coordination contracts in a manufacturer Stackelberg dual-channel supply chain, Omega, 40 (2012), 571-583.  doi: 10.1016/j.omega.2011.11.005.  Google Scholar

[9]

X. Chen, Y. Liu and Z. Wan, Optimal Decision Making for Online and Offline Retailers under BOPS Mode, Anziam Journal, 58 (2016), 187-208.  doi: 10.1017/S1446181116000201.  Google Scholar

[10]

W. K. Chiang, D. Chhajed and J. D. Hess, Direct marketing, indirect profits: A strategic analysis of dual-channel supply-chain design, Management science, 49 (2003), 1-20.  doi: 10.1287/mnsc.49.1.1.12749.  Google Scholar

[11]

C. H. Chiu, T. M. Choi and C. S. Tang, Price, rebate, and returns supply contracts for coordinating supply chains with price - dependent demands, Production and Operations Management, 20 (2011), 81-91.  doi: 10.1111/j.1937-5956.2010.01159.x.  Google Scholar

[12]

S. Gallino and A. Moreno, Integration of online and offline channels in retail: The impact of sharing reliable inventory availability information, Management Science, 60 (2014), 1434-1451.   Google Scholar

[13]

F. Gao and X. Su, Omnichannel retail operations with buy-online-and-pickup-in-store, Management Science, 63 (2016), 2478-2492.   Google Scholar

[14]

L. Langegger and R. Sjölander, Multi-channel Sales Distribution–Should Online Retailers Expand Offline?, Master thesis, University of Borȧs, 2013. Google Scholar

[15]

Y. Liu, C. Ding, C. Fan and X. Chen, Pricing decision under dual-channel structure considering fairness and free-riding behavior, Discrete Dynamics in Nature and Society, 2014 (2014), Art. ID 536576, 10 pp. doi: 10.1155/2014/536576.  Google Scholar

[16]

S. Mahar, P. D. Wright, K. M. Bretthauer and R. P. Hill, Optimizing marketer costs and consumer benefits across "clicks" and "bricks", Journal of the Academy of Marketing Science, 42 (2014), 619-641.  doi: 10.1007/s11747-014-0367-8.  Google Scholar

[17]

L. B. Oh, H. H. Teo and V. Sambamurthy, The effects of retail channel integration through the use of information technologies on firm performance, Journal of Operations Management, 30 (2012), 368-381.  doi: 10.1016/j.jom.2012.03.001.  Google Scholar

[18]

C. Patel, Successful service retail channel expansions: The roles of technical and brand integration, Industrial Marketing Management, 43 (2014), 102-112.  doi: 10.1016/j.indmarman.2013.07.020.  Google Scholar

[19]

K. Pauwels, P. S. Leeflang, M. L. Teerling and K. E. Huizingh, Does online information drive offline revenues?: Only for specific products and consumer segments!, Journal of Retailing, 87 (2011), 1-17.  doi: 10.1016/j.jretai.2010.10.001.  Google Scholar

[20]

A. Payne and P. Frow, The role of multichannel integration in customer relationship management, Industrial Marketing Management, 33 (2004), 527-538.  doi: 10.1016/j.indmarman.2004.02.002.  Google Scholar

[21]

N. C. Petruzzi and M. Dada, Pricing and the newsvendor problem: A review with extensions, Operations Research, 47 (1999), 183-194.  doi: 10.1287/opre.47.2.183.  Google Scholar

[22]

A. A. Tsay and N. Agrawal, Channel conflict and coordination in the e - commerce age, Production and Operations Management, 13 (2004), 93-110.  doi: 10.1111/j.1937-5956.2004.tb00147.x.  Google Scholar

[23]

Y. Wang, L. Jiang and Z. J. Shen, Channel performance under consignment contract with revenue sharing, Management Science, 50 (2004), 34-47.  doi: 10.1287/mnsc.1030.0168.  Google Scholar

[24]

D. Xing and T. Liu, Sales effort free riding and coordination with price match and channel rebate, European Journal of Operational Research, 219 (2012), 264-271.  doi: 10.1016/j.ejor.2011.11.029.  Google Scholar

[25]

G. Xu, B. Dan, X. Zhang and C. Liu, Coordinating a dual-channel supply chain with risk-averse under a two-way revenue sharing contract, International Journal of Production Economics, 147 (2014), 171-179.   Google Scholar

[26]

E. Zabel, Monopoly and uncertainty, The Review of Economic Studies, 37 (1970), 205-219.  doi: 10.2307/2296413.  Google Scholar

[27]

P. Zhang, Y. Xiong and Z. Xiong, Coordination of a dual-channel supply chain after demand or production cost disruptions, International Journal of Production Research, 53 (2015), 3141-3160.  doi: 10.1080/00207543.2014.975853.  Google Scholar

show all references

References:
[1]

R. E. Barlow and F. Proschan, Mathematical Theory of Reliability, John Wiley and Sons, New York, 1965.  Google Scholar

[2]

D. R. Bell, S. Gallino and A. Moreno, Offline Showrooms in Omni-Channel Retail: Demand and Operational Benefits, Available at SSRN 2370535, December 24, 2016. Google Scholar

[3]

R. Bhalla, The omni-channel customer experience: Driving engagement through digitisation, Journal of Digital and Social Media Marketing, 1 (2014), 365-372.   Google Scholar

[4]

G. P. Cachon and M. A. Lariviere, Supply chain coordination with revenue-sharing contracts: Strengths and limitations, Management Science, 51 (2005), 30-44.  doi: 10.1287/mnsc.1040.0215.  Google Scholar

[5]

G. G. Cai, Channel selection and coordination in dual-channel supply chains, Journal of Retailing, 86 (2010), 22-36.  doi: 10.1016/j.jretai.2009.11.002.  Google Scholar

[6]

G. G. Cai, Z. G. Zhang and M. Zhang, Game theoretical perspectives on dual-channel supply chain competition with price discounts and pricing schemes, International Journal of Production Economics, 117 (2009), 80-96.  doi: 10.1016/j.ijpe.2008.08.053.  Google Scholar

[7]

P. Chatterjee, Causes and consequences of 'order online pick up in-store' shopping behavior, The International Review of Retail, Distribution and Consumer Research, 20 (2010), 431-448.  doi: 10.1080/09593969.2010.504009.  Google Scholar

[8]

J. Chen, H. Zhang and Y. Sun, Implementing coordination contracts in a manufacturer Stackelberg dual-channel supply chain, Omega, 40 (2012), 571-583.  doi: 10.1016/j.omega.2011.11.005.  Google Scholar

[9]

X. Chen, Y. Liu and Z. Wan, Optimal Decision Making for Online and Offline Retailers under BOPS Mode, Anziam Journal, 58 (2016), 187-208.  doi: 10.1017/S1446181116000201.  Google Scholar

[10]

W. K. Chiang, D. Chhajed and J. D. Hess, Direct marketing, indirect profits: A strategic analysis of dual-channel supply-chain design, Management science, 49 (2003), 1-20.  doi: 10.1287/mnsc.49.1.1.12749.  Google Scholar

[11]

C. H. Chiu, T. M. Choi and C. S. Tang, Price, rebate, and returns supply contracts for coordinating supply chains with price - dependent demands, Production and Operations Management, 20 (2011), 81-91.  doi: 10.1111/j.1937-5956.2010.01159.x.  Google Scholar

[12]

S. Gallino and A. Moreno, Integration of online and offline channels in retail: The impact of sharing reliable inventory availability information, Management Science, 60 (2014), 1434-1451.   Google Scholar

[13]

F. Gao and X. Su, Omnichannel retail operations with buy-online-and-pickup-in-store, Management Science, 63 (2016), 2478-2492.   Google Scholar

[14]

L. Langegger and R. Sjölander, Multi-channel Sales Distribution–Should Online Retailers Expand Offline?, Master thesis, University of Borȧs, 2013. Google Scholar

[15]

Y. Liu, C. Ding, C. Fan and X. Chen, Pricing decision under dual-channel structure considering fairness and free-riding behavior, Discrete Dynamics in Nature and Society, 2014 (2014), Art. ID 536576, 10 pp. doi: 10.1155/2014/536576.  Google Scholar

[16]

S. Mahar, P. D. Wright, K. M. Bretthauer and R. P. Hill, Optimizing marketer costs and consumer benefits across "clicks" and "bricks", Journal of the Academy of Marketing Science, 42 (2014), 619-641.  doi: 10.1007/s11747-014-0367-8.  Google Scholar

[17]

L. B. Oh, H. H. Teo and V. Sambamurthy, The effects of retail channel integration through the use of information technologies on firm performance, Journal of Operations Management, 30 (2012), 368-381.  doi: 10.1016/j.jom.2012.03.001.  Google Scholar

[18]

C. Patel, Successful service retail channel expansions: The roles of technical and brand integration, Industrial Marketing Management, 43 (2014), 102-112.  doi: 10.1016/j.indmarman.2013.07.020.  Google Scholar

[19]

K. Pauwels, P. S. Leeflang, M. L. Teerling and K. E. Huizingh, Does online information drive offline revenues?: Only for specific products and consumer segments!, Journal of Retailing, 87 (2011), 1-17.  doi: 10.1016/j.jretai.2010.10.001.  Google Scholar

[20]

A. Payne and P. Frow, The role of multichannel integration in customer relationship management, Industrial Marketing Management, 33 (2004), 527-538.  doi: 10.1016/j.indmarman.2004.02.002.  Google Scholar

[21]

N. C. Petruzzi and M. Dada, Pricing and the newsvendor problem: A review with extensions, Operations Research, 47 (1999), 183-194.  doi: 10.1287/opre.47.2.183.  Google Scholar

[22]

A. A. Tsay and N. Agrawal, Channel conflict and coordination in the e - commerce age, Production and Operations Management, 13 (2004), 93-110.  doi: 10.1111/j.1937-5956.2004.tb00147.x.  Google Scholar

[23]

Y. Wang, L. Jiang and Z. J. Shen, Channel performance under consignment contract with revenue sharing, Management Science, 50 (2004), 34-47.  doi: 10.1287/mnsc.1030.0168.  Google Scholar

[24]

D. Xing and T. Liu, Sales effort free riding and coordination with price match and channel rebate, European Journal of Operational Research, 219 (2012), 264-271.  doi: 10.1016/j.ejor.2011.11.029.  Google Scholar

[25]

G. Xu, B. Dan, X. Zhang and C. Liu, Coordinating a dual-channel supply chain with risk-averse under a two-way revenue sharing contract, International Journal of Production Economics, 147 (2014), 171-179.   Google Scholar

[26]

E. Zabel, Monopoly and uncertainty, The Review of Economic Studies, 37 (1970), 205-219.  doi: 10.2307/2296413.  Google Scholar

[27]

P. Zhang, Y. Xiong and Z. Xiong, Coordination of a dual-channel supply chain after demand or production cost disruptions, International Journal of Production Research, 53 (2015), 3141-3160.  doi: 10.1080/00207543.2014.975853.  Google Scholar

Figure 1.  The effect of $\alpha$ on decision variables
Figure Options

Download full-size image

Download as PowerPoint slide

Figure 2.  The effect of $\alpha$ and $\theta$ on online profits
Figure Options

Download full-size image

Download as PowerPoint slide

Figure 3.  The effect of $\alpha$ and $\theta$ on offline profits
Figure Options

Download full-size image

Download as PowerPoint slide

Figure 4.  The effect of $\alpha$ and $\theta$ on offline profits
Figure Options

Download full-size image

Download as PowerPoint slide

[1]

Ali Naimi Sadigh, S. Kamal Chaharsooghi, Majid Sheikhmohammady. A game theoretic approach to coordination of pricing, advertising, and inventory decisions in a competitive supply chain. Journal of Industrial & Management Optimization, 2016, 12 (1) : 337-355. doi: 10.3934/jimo.2016.12.337
[2]

Ruopeng Wang, Jinting Wang, Chang Sun. Optimal pricing and inventory management for a loss averse firm when facing strategic customers. Journal of Industrial & Management Optimization, 2018, 14 (4) : 1521-1544. doi: 10.3934/jimo.2018019
[3]

Jing Shi, Tiaojun Xiao. Store assistance and coordination of supply chains facing consumer's return. Journal of Industrial & Management Optimization, 2016, 12 (3) : 991-1007. doi: 10.3934/jimo.2016.12.991
[4]

Lili Ding, Xinmin Liu, Yinfeng Xu. Competitive risk management for online Bahncard problem. Journal of Industrial & Management Optimization, 2010, 6 (1) : 1-14. doi: 10.3934/jimo.2010.6.1
[5]

Yeong-Cheng Liou, Siegfried Schaible, Jen-Chih Yao. Supply chain inventory management via a Stackelberg equilibrium. Journal of Industrial & Management Optimization, 2006, 2 (1) : 81-94. doi: 10.3934/jimo.2006.2.81
[6]

Cheng Ma, Y. C. E. Lee, Chi Kin Chan, Yan Wei. Auction and contracting mechanisms for channel coordination with consideration of participants' risk attitudes. Journal of Industrial & Management Optimization, 2017, 13 (2) : 775-801. doi: 10.3934/jimo.2016046
[7]

Sarah Ibri. An efficient distributed optimization and coordination protocol: Application to the emergency vehicle management. Journal of Industrial & Management Optimization, 2015, 11 (1) : 41-63. doi: 10.3934/jimo.2015.11.41
[8]

Lei Yang, Jingna Ji, Kebing Chen. Advertising games on national brand and store brand in a dual-channel supply chain. Journal of Industrial & Management Optimization, 2018, 14 (1) : 105-134. doi: 10.3934/jimo.2017039
[9]

Lisha Wang, Huaming Song, Ding Zhang, Hui Yang. Pricing decisions for complementary products in a fuzzy dual-channel supply chain. Journal of Industrial & Management Optimization, 2019, 15 (1) : 343-364. doi: 10.3934/jimo.2018046
[10]

Ximin Huang, Na Song, Wai-Ki Ching, Tak-Kuen Siu, Ka-Fai Cedric Yiu. A real option approach to optimal inventory management of retail products. Journal of Industrial & Management Optimization, 2012, 8 (2) : 379-389. doi: 10.3934/jimo.2012.8.379
[11]

Jong Soo Kim, Won Chan Jeong. A model for buyer and supplier coordination and information sharing in order-up-to systems. Journal of Industrial & Management Optimization, 2012, 8 (4) : 987-1015. doi: 10.3934/jimo.2012.8.987
[12]

Chuan Ding, Kaihong Wang, Shaoyong Lai. Channel coordination mechanism with retailers having fairness preference ---An improved quantity discount mechanism. Journal of Industrial & Management Optimization, 2013, 9 (4) : 967-982. doi: 10.3934/jimo.2013.9.967
[13]

Li Deng, Wenjie Bi, Haiying Liu, Kok Lay Teo. A multi-stage method for joint pricing and inventory model with promotion constrains. Discrete & Continuous Dynamical Systems - S, 2018, 0 (0) : 0-0. doi: 10.3934/dcdss.2020097
[14]

Kegui Chen, Xinyu Wang, Min Huang, Wai-Ki Ching. Compensation plan, pricing and production decisions with inventory-dependent salvage value, and asymmetric risk-averse sales agent. Journal of Industrial & Management Optimization, 2018, 14 (4) : 1397-1422. doi: 10.3934/jimo.2018013
[15]

Zhijie Sasha Dong, Wei Chen, Qing Zhao, Jingquan Li. Optimal pricing and inventory strategies for introducing a new product based on demand substitution effects. Journal of Industrial & Management Optimization, 2017, 13 (5) : 1-15. doi: 10.3934/jimo.2018175
[16]

Donglei Du, Tianping Shuai. Errata to:''Optimal preemptive online scheduling to minimize $l_{p}$ norm on two processors''[Journal of Industrial and Management Optimization, 1(3) (2005), 345-351.]. Journal of Industrial & Management Optimization, 2008, 4 (2) : 339-341. doi: 10.3934/jimo.2008.4.339
[17]

Honglei Xu, Peng Sui, Guanglu Zhou, Louis Caccetta. Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method. Numerical Algebra, Control & Optimization, 2013, 3 (4) : 655-664. doi: 10.3934/naco.2013.3.655
[18]

Tone Arnold, Myrna Wooders. Dynamic club formation with coordination. Journal of Dynamics & Games, 2015, 2 (3&4) : 341-361. doi: 10.3934/jdg.2015010
[19]

Yaling Cui, Srdjan D. Stojanovic. Equity valuation under stock dilution and buy-back. Discrete & Continuous Dynamical Systems - B, 2012, 17 (6) : 1809-1829. doi: 10.3934/dcdsb.2012.17.1809
[20]

Ning Zhang, Qiang Wu. Online learning for supervised dimension reduction. Mathematical Foundations of Computing, 2019, 2 (2) : 95-106. doi: 10.3934/mfc.2019008

2018 Impact Factor: 1.025

Tools

Metrics

  • PDF downloads (201)
  • HTML views (1463)
  • Cited by (0)

Other articles
by authors

[Back to Top]

Copyright © 2019 American Institute of Mathematical Sciences