The ramification of dynamic investment on the promotion and preservation technology for inventory management through a modified flower pollination algorithm

Abstract The dynamic rate of investment in promotion during different price-ranges and the optimum investment in preservation technology are developed for seasonable or fashionable products through their lifespan. An order level inventory model for deteriorating items with promotional price and trapezoidal-type demand rate is used to maximize the profit of a retailer. The deterioration rate is dependent on the preservation technology i.e., more investment in preservation reduces the rate of deterioration. The aim of this study is to obtain the optimum dynamic investment for the promotion. The optimal control theory is employed to obtain the dynamic investment rates. A modified flower pollination Algorithm is applied to find the optimal pricing scheme, preservation technology investment, and replenishment schedule. An illustrated algorithm based numerical experiment is conducted to validate the dynamic behaviour of the investment. Sensitivity analysis has been carried out with respect to the major parameters to prove the novelty of the algorithm and explored the managerial insights of the proposed model. Numerical studies obtain that dynamical investment is really beneficial for the management of stocks.

[1]  Leopoldo Eduardo Cárdenas-Barrón,et al.  Optimal inventory system with two backlog costs in response to a discount offer: corrections and complements , 2018, Oper. Res..

[2]  S. Saha,et al.  Optimal discount time for seasonal products with trapezoidal type price and time sensitive demand pattern , 2011 .

[3]  Sven A. Haugland,et al.  Marketing strategy and customer involvement in product development , 2011 .

[4]  Manoranjan Maiti,et al.  Inventory of damageable items with variable replenishment and unit production cost via simulated annealing method , 2005, Comput. Ind. Eng..

[5]  Tsu-Pang Hsieh,et al.  Production , Manufacturing and Logistics An optimal replenishment policy for deteriorating items with effective investment in preservation technology , 2011 .

[6]  Jenni Romaniuk,et al.  When retailers and manufacturers advertise together; examining the effect of co-operative advertising on ad reach and memorability , 2020 .

[7]  R. Uthayakumar,et al.  Economic order quantity for deteriorating items with time discounting , 2012 .

[8]  Yu-Chung Tsao,et al.  Dynamic pricing, promotion and replenishment policies for a deteriorating item under permissible delay in payments , 2008, Comput. Oper. Res..

[9]  Yong-Hyuk Kim,et al.  A genetic algorithm for joint replenishment based on the exact inventory cost , 2009, Comput. Oper. Res..

[10]  R. L. Hess,et al.  Omnichannel-based promotions’ effects on purchase behavior and brand image , 2017 .

[11]  Jonathan Timmis,et al.  Artificial Immune Systems: A New Computational Intelligence Approach , 2003 .

[12]  Seyed Taghi Akhavan Niaki,et al.  A fuzzy vendor managed inventory of multi-item economic order quantity model under shortage: An ant colony optimization algorithm , 2014 .

[13]  Haiyan Wang,et al.  Pricing and effort decisions in a closed-loop supply chain under different channel power structures , 2016 .

[14]  Sun Hur,et al.  Effects of Variable Production Rate and Time-Dependent Holding Cost for Complementary Products in Supply Chain Model , 2017 .

[15]  Ezra Wari,et al.  A survey on metaheuristics for optimization in food manufacturing industry , 2016, Appl. Soft Comput..

[16]  L. Cárdenas-Barrón,et al.  Optimal pricing and lot-sizing policy for supply chain system with deteriorating items under limited storage capacity , 2018, International Journal of Production Economics.

[17]  Guoqing Wang,et al.  Optimal policy for deteriorating items with trapezoidal type demand and partial backlogging , 2011 .

[18]  Kuo-Chen Hung,et al.  Technical note on inventory model with trapezoidal type demand , 2014 .

[19]  M. Goh,et al.  Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain , 2018, International Journal of Production Economics.

[20]  B. Sarkar,et al.  Dynamic Pricing in a Multi-Period Newsvendor Under Stochastic Price-Dependent Demand , 2019, Mathematics.

[21]  Brian T. Ratchford,et al.  An empirical analysis of demand variations and markdown policies for fashion retailers , 2017 .

[22]  Seyed Taghi Akhavan Niaki,et al.  Optimizing a bi-objective inventory model of a three-echelon supply chain using a tuned hybrid bat algorithm , 2014 .

[23]  Isa Nakhai Kamal Abadi,et al.  An efficient population-based simulated annealing algorithm for the multi-product multi-retailer perishable inventory routing problem , 2016, Comput. Ind. Eng..

[24]  E. S. Ali,et al.  Combined economic and emission dispatch solution using Flower Pollination Algorithm , 2016 .

[25]  Prashanta Kumar,et al.  In-store experience quality and perceived credibility: A green retailer context , 2019, Journal of Retailing and Consumer Services.

[26]  Biswajit Sarkar,et al.  Coordination Supply Chain Management Under Flexible Manufacturing, Stochastic Leadtime Demand, and Mixture of Inventory , 2020, Mathematics.

[27]  Chung-Yuan Dye,et al.  Optimal dynamic pricing and preservation technology investment for deteriorating products with reference price effects , 2016 .

[28]  R. Mantegna,et al.  Fast, accurate algorithm for numerical simulation of Lévy stable stochastic processes. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[29]  Chung Yee Lee,et al.  Joint optimization on pricing, promotion and inventory control with stochastic demand , 2008 .

[30]  H. Wee,et al.  Preservation technology investment for deteriorating inventory , 2010 .

[31]  A. Taleizadeh,et al.  Stock replenishment policies for a vendor-managed inventory in a retailing system , 2020 .

[32]  Shih-Cheng Horng,et al.  Ordinal optimization based metaheuristic algorithm for optimal inventory policy of assemble-to-order systems , 2017 .

[33]  Monica Grosso,et al.  How store attributes impact shoppers’ loyalty in emerging countries: An investigation in the Indian retail sector , 2018 .

[34]  Patrick Sebastian Holzer,et al.  The effect of time-varying factors on promotional activity in the German milk market , 2020 .

[35]  Chung-Yuan Dye,et al.  The effect of preservation technology investment on a non-instantaneous deteriorating inventory model , 2013 .

[36]  Biswajit Sarkar,et al.  An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling price dependent demand, and investment , 2019, RAIRO Oper. Res..

[37]  Shih-Chieh Chuang,et al.  The influence of sharing versus self-use on the preference for different types of promotional offers , 2020 .

[38]  Guoqing Wang,et al.  A note on the inventory model for deteriorating items with trapezoidal type demand rate , 2009, Comput. Ind. Eng..

[39]  Leopoldo Eduardo Cárdenas-Barrón,et al.  Heuristic algorithm based on reduce and optimize approach for a selective and periodic inventory routing problem in a waste vegetable oil collection environment , 2019, International Journal of Production Economics.

[40]  Namhun Kim,et al.  Optimal production delivery policies for supplier and manufacturer in a constrained closed-loop supply chain for returnable transport packaging through metaheuristic approach , 2019, Comput. Ind. Eng..

[41]  Jinn-Tsair Teng,et al.  Two inventory systems with trapezoidal-type demand rate and time-dependent deterioration and backlogging , 2016, Expert Syst. Appl..

[42]  Ioannis Konstantaras,et al.  Metaheuristic optimization for the Single-Item Dynamic Lot Sizing problem with returns and remanufacturing , 2015, Comput. Ind. Eng..

[43]  S. Jaeger,et al.  In-store influences on consumers' grocery purchasing decisions: a qualitative investigation , 2009 .

[44]  Wansheng Tang,et al.  Pricing, service and preservation technology investments policy for deteriorating items under common resource constraints , 2016, Comput. Ind. Eng..

[45]  Hui-Ming Wee,et al.  A sustainable inventory system with the advanced payment policy and trade-credit strategy for a two-warehouse inventory system , 2020, Kybernetes.

[46]  Biswajit Sarkar,et al.  Investment for process quality improvement and setup cost reduction in an imperfect production process with warranty policy and shortages , 2020, RAIRO Oper. Res..

[47]  Guillaume Moreau,et al.  Consumer perceptions and purchase behavior toward imperfect fruits and vegetables in an immersive virtual reality grocery store , 2019, Journal of Retailing and Consumer Services.

[48]  Namhun Kim,et al.  A cooperative advertising collaboration policy in supply chain management under uncertain conditions , 2020, Appl. Soft Comput..

[49]  Ali Akbar Shaikh,et al.  An application of preservation technology in inventory control system with price dependent demand and partial backlogging , 2020 .

[50]  Ali Akbar Shaikh,et al.  An application of PSO in a two-warehouse inventory model for deteriorating item under permissible delay in payment with different inventory policies , 2015, Appl. Math. Comput..

[51]  Praveen K. Kopalle,et al.  Innovations in Retail Pricing and Promotions , 2011 .

[52]  Emad Nabil,et al.  A Modified Flower Pollination Algorithm for Global Optimization , 2016, Expert Syst. Appl..

[53]  Dominique M. Hanssens,et al.  Do Promotions Benefit Manufacturers, Retailers, or Both? , 2002, Manag. Sci..

[54]  Chih-te Yang,et al.  Optimal dynamic trade credit and preservation technology allocation for a deteriorating inventory model , 2015, Comput. Ind. Eng..

[55]  B. Sarkar,et al.  How does an industry reduce waste and consumed energy within a multi-stage smart sustainable biofuel production system? , 2020 .

[56]  Sarah Spiekermann,et al.  Street Marketing: How Proximity and Context Drive Coupon Redemption , 2011, ArXiv.

[57]  José Albors-Garrigos,et al.  Barriers and enablers for innovation in the retail sector: Co-innovating with the customer. A case study in grocery retailing , 2020 .

[58]  Umakanta Mishra.  An inventory model for deteriorating items under trapezoidal type demand and controllable deterioration rate , 2015, Prod. Eng..

[59]  Subrata Saha,et al.  Optimal production rate and production stopping time for perishable seasonal products with ramp-type time-dependent demand , 2010, Int. J. Math. Oper. Res..

[60]  Biswajit Sarkar,et al.  A sustainable production-inventory model for a controllable carbon emissions rate under shortages , 2020, Journal of Cleaner Production.

[61]  Lianxia Zhao,et al.  An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging , 2014, J. Appl. Math..

[62]  Ata Allah Taleizadeh,et al.  A hybrid method of fuzzy simulation and genetic algorithm to optimize constrained inventory control systems with stochastic replenishments and fuzzy demand , 2013, Inf. Sci..

[63]  Biswajit Sarkar,et al.  Application of preservation technology for lifetime dependent products in an integrated production system , 2020, Journal of Industrial & Management Optimization.

[64]  Seyed Taghi Akhavan Niaki,et al.  Optimizing an inventory model with fuzzy demand, backordering, and discount using a hybrid imperialist competitive algorithm , 2016 .

[65]  Behrooz Karimi,et al.  Optimizing the pricing and replenishment policy for non-instantaneous deteriorating items with stochastic demand and promotional efforts , 2014, Comput. Oper. Res..

[66]  Chung-Yuan Dye,et al.  Application of particle swarm optimisation for solving deteriorating inventory model with fluctuating demand and controllable deterioration rate , 2013, Int. J. Syst. Sci..

[67]  Yu-Chung Tsao.  Joint location, inventory, and preservation decisions for non-instantaneous deterioration items under delay in payments , 2016, Int. J. Syst. Sci..

[68]  Xin-She Yang,et al.  Flower Pollination Algorithm for Global Optimization , 2012, UCNC.

[69]  B. Sarkar.  Supply Chain Coordination with Variable Backorder, Inspections, and Discount Policy for Fixed Lifetime Products , 2016 .

[70]  L. Cárdenas-Barrón,et al.  Multi-item EOQ inventory model in a two-layer supply chain while demand varies with promotional effort , 2015 .

[71]  Pei Chun Lin,et al.  A modified ant colony optimization algorithm for multi-item inventory routing problems with demand uncertainty , 2010 .

[72]  I. Moon,et al.  Optimal retailer investments in green operations and preservation technology for deteriorating items , 2017 .

[73]  Behrouz Afshar-Nadjafi,et al.  Time-dependent demand and utility-sensitive sale price in a retailing system , 2016 .

[74]  Jong Soo Kim,et al.  Stochastic joint replenishment problem with quantity discounts and minimum order constraints , 2019, Oper. Res..

[75]  Wansheng Tang,et al.  Optimal dynamic pricing for deteriorating items with reference-price effects , 2016, Int. J. Syst. Sci..