A stochastic model for better planning of product flow in retail supply chains

Abstract Retail supply chains operate in a constantly changing environment and need to adapt to different situations in order to increase their reliability, flexibility and convenience. Holding and transportation costs can amount to up to 40 per cent of the product value, so that the proper coordination of interrelated activities plays an essential role when managing retail flows. In order to provide a relevant model we first focus on future demand satisfaction, whereas pricing policies, perishability factors, etc., are subjected to a complementary model for operative planning. The idea is to obtain a preferable distribution plan with minimal expected distribution costs, as well as minimal supply risks. The used methodology produces a set of solutions and quality estimates which can be used in order to find a desired distribution plan which is near-optimal. While considering stochasticity on the demand side, a multi-objective optimisation approach is introduced to cope with the minimisation of transport and warehouse costs, the minimisation of overstocking effects and the maximisation of customer’s service level. The optimisation problem that arises is a computationally hard problem. A computational experiment has shown that the version of the problem where the weighted sum of costs is minimised can be handled sufficiently well by some well-known simple heuristics.

[1]  J. Žerovnik,et al.  Coordination of a Retail Supply Chain Distribution Flow , 2018, Tehnicki vjesnik - Technical Gazette.

[2]  Gonzalo Guillén-Gosálbez,et al.  Scope for the application of mathematical programming techniques in the synthesis and planning of sustainable processes , 2010, Comput. Chem. Eng..

[3]  Togar M. Simatupang,et al.  The knowledge of coordination for supply chain integration , 2002, Bus. Process. Manag. J..

[4]  Tsan-Ming Choi,et al.  Handbook of Newsvendor Problems , 2012 .

[5]  Ángel Ortiz Bas,et al.  Enterprise modelling methodology for forward and reverse supply chain flows integration , 2010, Comput. Ind..

[6]  J.-T. Teng,et al.  On an EOQ model for deteriorating items with time-varying demand and partial backlogging , 2003, J. Oper. Res. Soc..

[7]  Mostafa Setak,et al.  Multi objective coordination of a supply chain with routing and service level consideration , 2015 .

[8]  Stefan Minner,et al.  A coordinated multi-item inventory system for perishables with random lifetime , 2016 .

[9]  Manuel Laguna,et al.  Tabu Search , 1997 .

[10]  Yuwen Chen,et al.  The newsvendor problem: Review and directions for future research , 2011, Eur. J. Oper. Res..

[11]  Stefan Minner,et al.  An integrated guaranteed- and stochastic-service approach to inventory optimization in supply chains , 2013, Eur. J. Oper. Res..

[12]  Stanislaw Gawiejnowicz Local search algorithms , 2008 .

[13]  J. Žerovnik Heuristics for NP-hard optimization problems - simpler is better!? , 2015 .

[14]  Gerhard W. Dueck,et al.  Threshold accepting: a general purpose optimization algorithm appearing superior to simulated anneal , 1990 .

[15]  K. S. Chaudhuri,et al.  Optimal price and lot size determination for a perishable product under conditions of finite production, partial backordering and lost sale , 2011, Appl. Math. Comput..

[16]  Kai-Ling Mak Determining optimal production-inventory control policies for an inventory system with partial backlogging , 1987, Comput. Oper. Res..

[17]  Amir H. Masoumi,et al.  Networks Against Time: Supply Chain Analytics for Perishable Products , 2013 .

[18]  P. Torino Networks against time . Supply chain analytics for perishable products , 2022 .

[19]  Marcin Anholcer,et al.  Bi-Criteria Stochastic Generalized Transportation Problem: Expected Cost and Risk Minimization , 2016 .

[20]  Nathalie Sauer,et al.  NP-hard and polynomial cases for the single-item lot sizing problem with batch ordering under capacity reservation contract , 2017, Eur. J. Oper. Res..

[21]  Jonas Andersson,et al.  A two-echelon inventory model with lost sales , 2001 .

[22]  Songsong Liu,et al.  Multiobjective optimisation of production, distribution and capacity planning of global supply chains in the process industry , 2013 .

[23]  David K. Smith,et al.  A two-echelon inventory model with lost sales , 2007, Eur. J. Oper. Res..

[24]  Amir H. Masoumi,et al.  Networks Against Time , 2013 .

[25]  Arshinder,et al.  Supply chain coordination: Perspectives, empirical studies and research directions , 2008 .

[26]  Alexander Shapiro,et al.  Lectures on Stochastic Programming: Modeling and Theory , 2009 .