Inventory replenishment decisions model for the supplier selection problem facing low perfect rate situations

This article addresses the supplier selection and order quantity allocation problem. It introduces a model to minimize the total cost per time unit considering inventory and transportation costs. In selecting suppliers, two feasibility constraints are considered: capacity and perfect rate. The acceptable perfect rate of raw materials is ensured with a mathematical inequality in the model constraints. The proposed model addresses the desired perfect rate by including it as part of the order cycle parameters calculation and not as an individual constraint. Two main advantages of the proposed model are: (i) it leads to lower cost solutions compared to an existing model; and (ii) it effectively faces the low perfect rate situation, by providing feasible solutions when the perfect rate of suppliers is smaller than the minimum acceptable perfect rate required by the customer. A sensitivity analysis was carried out on the proposed model to analyze the effect of some parameters on the total cost per time unit. Results showed that transportation costs have an important effect on the order quantity and, also, that price levels do not necessarily affect the amount of purchased units. Hence the importance of considering transportation costs when making order quantity allocation decisions.

[1]  François Combes,et al.  Inventory Theory and Freight Transport Modelling , 2014 .

[2]  Robert B. Handfield,et al.  Purchasing and Supply Chain Management, 3rd Edition , 2005 .

[3]  T. H. Burwell,et al.  Economic lot size model for price-dependent demand under quantity and freight discounts , 1997 .

[4]  S. H. Ghodsypour,et al.  The total cost of logistics in supplier selection, under conditions of multiple sourcing, multiple criteria and capacity constraint , 2001 .

[5]  Abraham Mendoza,et al.  A serial inventory system with supplier selection and order quantity allocation considering transportation costs , 2016 .

[6]  Kin Keung Lai,et al.  An novel approach to supplier selection based on vague sets group decision , 2009, Expert Syst. Appl..

[7]  S. Teng,et al.  A model for evaluation and selection of suppliers in global textile and apparel supply chains , 2005 .

[8]  Chien-Wei Wu,et al.  An efficient method for dynamic-demand joint replenishment problem with multiple suppliers and multiple vehicles , 2017, Int. J. Prod. Res..

[9]  Paul D. Larson,et al.  THE ECONOMIC TRANSPORTATION QUANTITY , 1988 .

[10]  Mahmut Parlar,et al.  An Inventory Problem with Two Randomly Available Suppliers , 1997, Oper. Res..

[11]  José Geraldo Vidal Vieira,et al.  A decision on the truckload and less-than-truckload problem: An approach based on MCDA , 2018 .

[12]  Omprakash K. Gupta.  A lot-size model with discrete transportation costs , 1992 .

[13]  Jim W. Hall,et al.  Sensitivity analysis of environmental models: A systematic review with practical workflow , 2014, Environ. Model. Softw..

[14]  V. Vanhoorne,et al.  Raw material variability of an active pharmaceutical ingredient and its relevance for processability in secondary continuous pharmaceutical manufacturing , 2018, European journal of pharmaceutics and biopharmaceutics : official journal of Arbeitsgemeinschaft fur Pharmazeutische Verfahrenstechnik e.V.

[15]  Seyed Jafar Sadjadi,et al.  A supplier selection model in pharmaceutical supply chain using PCA, Z-TOPSIS and MILP: A case study , 2018, PloS one.

[16]  Pablo A. Miranda,et al.  Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply Chain , 2018, Complex..

[17]  John E. Tyworth,et al.  Transportation’s role in the sole‐ versus dual‐sourcing decision , 2000 .

[18]  Gul Polat,et al.  An Integrated Approach using AHP-ER to Supplier Selection in Railway Projects☆ , 2015 .

[19]  Challenges and future research needs towards international freight transport modelling , 2016 .

[20]  Abraham Mendoza,et al.  Estimating freight rates in inventory replenishment and supplier selection decisions , 2009, Logist. Res..

[21]  Abraham Mendoza,et al.  Analytical models for supplier selection and order quantity allocation , 2012 .

[22]  David Canca,et al.  On modelling non-linear quantity discounts in a supplier selection problem by mixed linear integer optimization , 2017, Ann. Oper. Res..

[23]  Abraham Mendoza,et al.  Modeling actual transportation costs in supplier selection and order quantity allocation decisions , 2013, Oper. Res..

[24]  Joseph R. Carter,et al.  Transportation costs and inventory management: Why transportation costs matter , 1996 .

[25]  Donald J. Bowersox,et al.  Logistical Management: The Integrated Supply Chain Process , 1974 .

[26]  Hark Hwang,et al.  An EOQ model with quantity discounts for both purchasing price and freight cost , 1990, Comput. Oper. Res..

[27]  Amy Z. Zeng,et al.  ESTIMATING THE EFFECTS OF CARRIER TRANSIT-TIME PERFORMANCE ON LOGISTICS COST AND SERVICE , 1998 .

[28]  John E. Tyworth,et al.  Transport Selection: Computer Modelling in a Spreadsheet Environment , 1991 .

[29]  F P Buffa,et al.  THE INVENTORY-TRANSPORT MODEL WITH SENSITIVITY ANALYSIS BY INDIFFERENCE CURVES , 1977 .

[30]  N. Subramanian,et al.  Review of Full Truckload Transportation Service Procurement , 2015 .

[31]  Michael Godfrey,et al.  Incorporating transportation costs into inventory replenishment decisions , 2002 .

[32]  Shuai Li,et al.  Analysis of a dynamic lot-sizing problem with production capacity constraint , 2016, Int. Trans. Oper. Res..

[33]  L. D. Boer,et al.  A review of methods supporting supplier selection , 2001 .

[34]  A. Weele.  Purchasing and Supply Chain Management: Analysis, Strategy, Planning and Practice , 2009 .

[35]  C Das,et al.  CHOICE OF TRANSPORT SERVICE: AN INVENTORY THEORETIC APPROACH , 1974 .

[36]  José A. Ventura,et al.  Optimal inventory policies with two modes of freight transportation , 2008, Eur. J. Oper. Res..

[37]  Jc Jan Fransoo,et al.  Sustainable transportation and order quantity: insights from multiobjective optimization , 2016 .

[38]  R. Handfield,et al.  Purchasing and Supply Chain Management , 1997 .

[39]  William J. Baumol,et al.  An Inventory Theoretic Model of Freight Transport Demand , 1970 .

[40]  Hanno Friedrich,et al.  Opportunities of sectoral freight transport demand modelling , 2016 .

[41]  Mithat Zeydan,et al.  A combined methodology for supplier selection and performance evaluation , 2011, Expert Syst. Appl..

[42]  Michael Godfrey,et al.  ESTIMATING FREIGHT RATES FOR LOGISTICS DECISIONS. , 1996 .

[43]  Ali Ekici.  An improved model for supplier selection under capacity constraint and multiple criteria , 2013 .

[44]  Mohammed A. Darwish,et al.  Joint determination of order quantity and reorder point of continuous review model under quantity and freight rate discounts , 2008, Comput. Oper. Res..

[45]  El-Houssaine Aghezzaf,et al.  Evaluating approximate solution models for the stochastic periodic inventory routing problem , 2019, Journal of Manufacturing Systems.