Integrated supply chain model for deteriorating items with linear stock dependent demand under imprecise and inflationary environment

Piecewise objective optimisation model for inventory control integrated with supplier selection considering discount

“…Also, some articles showed some more advance models like integrating a mixed-integer program with other methods like fuzzy analytic network process and knowledge-based networks (Kara, 2011;Li et al, 2013;Abbasi et al, 2013;Zeydan et al, 2011;, fuzzy-Delphi method (Wu et al, 2013), performance-evaluation approach (Aksoy and Öztürk, 2011;Chaharsooghi and Ashrafi, 2014), interval-valued intuitionistic fuzzy numbers (Izadikhah, 2012), game theory approach (Esmaeili and Ghobadi, 2018), fuzzy programming approach (Wicaksono et al, 2019), and risk management approach (Bahroun et al, 2019). In the same manner, other models were developed to solve supplier selection problem under some assumptions or conditions such as facility disruption (Rafiei et al, 2013), piecewise holding cost , deteriorating items (Rastogi and Singh, 2018;Yadav and Swami, 2018), quantity discount and fast service (Alegoz and Yapicioglu, 2019), cloud model and possibility degree (Lu et al, 2019), and price break scheme and flexible time periods (Duan and Ventura, 2019). However, for the inventory control problems, researchers developed some classic methods such as queuing approach (Arda and Hennet, 2006) and mixed-integer (Haksever and Moussourakis, 2005), as well as some newly developed approaches like model predictive control (Saputra et al, 2017;Widowati et al, 2018), fuzzy multi-objective model (Pan et al, 2015), robust LQR approach (Luthfi et al, 2018;Sutrisno et al, 2019) and linear quadratic Gaussian approach (Sutrisno et al, 2018a).…”

Probabilistic Programming with Piecewise Objective Function for Solving Supplier Selection Problem with Price Discount and Probabilistic Demand

“…This approach was initially applied to supplier selection problem in [1], [2] through the use of a linear integer programming model and several advanced models have been developed afterwards by extending the approach to other areas such as network processes [3] - [8], the fuzzy concept [9] - [12], game theory [13], risk theory [14], and others. Moreover, each mathematical model has different attributes based on the problem they are meant to solve as observed in facility disruption [15], holding cost discount [16], deteriorating item scheme [17], [18], fast service scheme [19], and price break scheme [20]. For field application purposes, several articles have reported the methods used in solving supplier selection problem with some observed in industries such as automotive manufacturing [21], financial [22], power source [23] - [25], healthcare [26], [27], and others.…”