Supply Chain for Perishable Agriculture Products by Possibilistic Linear Programming

This paper proposes mathematical programming models for supply chain of perishable products using Possibilistic Linear Programming (PLP) and Preemptive Possibilistic Linear Programming (PPLP) models. The possible ranges of unit price and unit costs were used to increase flexibility of obtaining the better supply chain imprecise information. Three crisp objective functions were generated, which are maximizing the most possible value of profit, minimizing the risk of obtaining the lower profit and maximizing the opportunity of obtaining the higher profit. The objective functions of the presented model looked for the maximum total profit with low risk in getting the lower profit and higher opportunity to get the better profit. Product shelf-life, time of all processes and quantity of products were determined. The numerical experiment was illustrated for an aromatic coconut supply chain. PPLP model is easier to select the preferred solution than PLP model. These models can find the effective solution for the problem.

[1]  Manoj Kumar Tiwari,et al.  A multi-period inventory transportation model for tactical planning of food grain supply chain , 2017, Comput. Ind. Eng..

[2]  Iyad Rahwan,et al.  A genetic algorithm approach for location-inventory-routing problem with perishable products , 2017 .

[3]  R. Weiner.  Lecture Notes in Economics and Mathematical Systems , 1985 .

[4]  Mehmet Soysal,et al.  Modeling a green inventory routing problem for perishable products with horizontal collaboration , 2018, Comput. Oper. Res..

[5]  G.D.H. Claassen,et al.  Closing loops in agricultural supply chains using multi-objective optimization : A case study of an industrial mushroom supply chain , 2017 .

[6]  Kannan Govindan,et al.  Two-echelon multiple-vehicle location-routing problem with time windows for optimization of sustainable supply chain network of perishable food , 2014 .

[7]  Javier Arturo Orjuela-Castro,et al.  Coupling facility location models in the supply chain of perishable fruits , 2017 .

[8]  Mohammad R. Gholamian,et al.  Integrated network design of wheat supply chain: A real case of Iran , 2017, Comput. Electron. Agric..

[9]  Reza Tavakkoli-Moghaddam,et al.  Design of a pharmaceutical supply chain network under uncertainty considering perishability and substitutability of products , 2018, Inf. Sci..

[10]  Jacqueline M. Bloemhof,et al.  Logistics network design for perishable products with heterogeneous quality decay , 2017, Eur. J. Oper. Res..

[11]  Bilge Bilgen,et al.  Multi-bucket optimization for integrated planning and scheduling in the perishable dairy supply chain , 2015, Comput. Chem. Eng..

[12]  Reay-Chen Wang,et al.  Applying possibilistic linear programming to aggregate production planning , 2005 .

[13]  K. Asai,et al.  Fuzzy linear programming problems with fuzzy numbers , 1984 .

[14]  M. M. E. Alemany,et al.  Mathematical modelling of the order-promising process for fruit supply chains considering the perishability and subtypes of products , 2017 .

[15]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[16]  Mir Saman Pishvaee,et al.  A possibilistic programming approach for closed-loop supply chain network design under uncertainty , 2010, Fuzzy Sets Syst..