%0 Journal Article
%T A Comprehensive Mathematical Model for a Location-routing-inventory Problem under Uncertain Demand: a Numerical Illustration in Cash-in-transit Sector
%J International Journal of Engineering
%I Materials and Energy Research Center
%Z 1025-2495
%A Fallah-tafti, Alireza
%A Vahdatzad, Mohammad Ali
%A Sadeghieh, Ahmad
%D 2019
%\ 11/01/2019
%V 32
%N 11
%P 1634-1642
%! A Comprehensive Mathematical Model for a Location-routing-inventory Problem under Uncertain Demand: a Numerical Illustration in Cash-in-transit Sector
%K Location-routing-inventory Problem
%K Cash in Transit
%K Multiple objectives optimization
%K Chance Constrained Fuzzy Programming
%K Augmented ε-constraint
%R 10.5829/ije.2019.32.11b.15
%X The purpose of this article is to model and solve an integrated location, routing and inventory problem (LRIP) in cash-in-transit (CIT) sector. In real operation of cash transportation, to decrease total cost and to reduce risk of robbery of such high-value commodity. There must be substantial variation, making problem difficult to formulate. In this paper, to better fit real life applications and to make the problem more practical, a bi-objective multiple periods, capacitated facilities with time windows under uncertain demand (BO-PCLRIP-TW-FD) in the LRIP, motivated by the replenishment of automated teller machines, is proposed. Then, using the chance constrained fuzzy programming to deal with uncertain parameters, the comprehensive model is formulated as a crisp mixed-integer linear programming. At last, to validate the mathematical formulation and to solve the problem, the latest version of ε-constraint method (i.e., AUGMECON2) is used. The proposed solution approach is tested on a realistic instance in CIT sector. Numerical results demonstrate the suitability of the model and the formulation. The ability of the model to be useful references for security carriers in real-world cases.
%U http://www.ije.ir/article_96219_87995a2925b5d76c7fd4b7081734ce69.pdf