A Mathematical Model for a Blood Supply Chain Network with the Robust Fuzzy Possibilistic Programming Approach: A Case Study at Namazi Hospital (original) (raw)

Blood collection management: A robust possibilistic programming approach

Applied Mathematical Modelling, 2015

Blood supply chains play a key role in the healthcare systems. Any improvement in the management of these chains will have direct impact on the supply of blood as a life-saving product. This paper presents a mixed integer linear programming model to make strategic as well as tactical decisions in a blood collection system over a multi-period planning horizon. A robust possibilistic programming approach is applied to cope with the inherent epistemic uncertainty of the model's parameters. Several numerical examples are solved to demonstrate the robustness of solutions and to provide managerial insights. Finally, applicability of the proposed model is demonstrated using a real case study in Iran.

A dynamic bi-objective model for after disaster blood supply chain network design; a robust possibilistic programming approach

Journal of Industrial and Systems Engineering, 2018

Health service management plays a crucial role in human life. Blood related operations are considered as one of the important components of the health services. This paper presents a bi-objective mixed integer linear programming model for dynamic location-allocation of blood facilities that integrates strategic and tactical decisions. Due to the epistemic uncertain nature of strategic decisions, in order to cope with the inherent uncertainties, a robust possibilistic programming approach is applied to the proposed model. Finally, to test the applicability of the proposed model, sensitivity analysis and some numerical examples are being proposed.

A Robust Stochastic Programming Approach for Blood Collection and Distribution Network Design

International Journal of Research, 2014

Blood supply chain network design isanessentialpart of the total blood management systems.In this paper, a mixed integer non-linear programming (MINLP) model for the concerned problem is developed. Optimizing the facility location and flows between each echelon of the considered supply chain is our main focus in this study. Also, in order to handle uncertain nature of model parameters, a mix robust stochastic programming approach is applied to the model. Finally, to test the applicability of the proposed model, a numerical example is proposed using random generated data and then sensitivity analysis is done on a model parameter which play a rolein making trade-off between model robustness and optimality robustness.

Modeling and Solving a Blood Supply Chain Network: An approach for Collection of Blood

2017

Management of the blood as a vital and scarce resource is very important. The aim of this research is to present a novel mathematical model for designing a reliable blood supply chain network. This network consists of three main echelons including donors, collection facilities and demand points. At the collection echelon, three types of facilities are considered for receiving the bloods from the donors: main blood centers (MBCs), demountable collection centers (DCCs), and mobile blood facilities (MBFs). DCCs, and MBFs are mobile facilities that don’t have a permanent location and always move from a location to another one for collecting the bloods from the donors. The main difference between the MBFs and DCCs is that the DCCs can only visit at most a candidate location in every period, but the MBFs can visit more than one. Also, there are some other differences between their capacities and their costs. Both of DCCs and MBFs dispatch the collected bloods to the MBCs that are permanen...

Stochastic Integer Programming Models in the Management of the Blood Supply Chain: A Case Study

2017

This paper presents a problem in the management of the blood supply chain at the blood banks with perishability characteristics, especially for the red blood cells and platelets. Focus of this discussion is to minimize the total cost, shortage and wastage levels of the blood unit. Stochastic integer programming approach is used to solve this problem by assuming the blood group and taking into account the age of the blood. At the end of this study we give a simulation to see the result of applying the method in this issue.

A literature review on blood supply chain management focused on uncertainty: an inclusive approach

Journal of Mathematical and Computational Science, 2022

In the context of Blood Supply Chain Management, blood supply chain network design is one of the most pivotal planning problems. The stages of blood supply chain management comprise of blood collection, production, inventorying and distribution. The main challenges faced by supply channels are related to shortage, out datedness, and supply chain cost which needs to be minimized. In the current scenario, supply chain network design decisions should be flexible enough to operate under complex and uncertain business environments for many years. Decisionmaking under uncertainty is a crucial phenomenon and a large number of relevant publications have emphasized its importance. This paper makes an attempt towards reviewing the literature in the fields of blood supply chain network design under uncertainty. This study is organized into two phases. In the first phase, a discussion is made on the types of blood products, potential issues, and stages of blood supply chain management whereas i...

Mathematical modeling for optimizing the blood supply chain network

Modern Supply Chain Research and Applications

PurposeThis research studies a location-allocation problem considering the m/m/m/k queue model in the blood supply chain network. This supply chain includes three levels of suppliers or donors, main blood centers (laboratories for separation, storage and distribution centers) and demand centers (hospitals and private clinics). Moreover, the proposed model is a multi-objective model including minimizing the total cost of the blood supply chain (the cost of unmet demand and inventory spoilage, the cost of transport between collection centers and the main centers of blood), minimizing the waiting time of donors in blood donating mobile centers, and minimizing the establishment of mobile centers in potential places.Design/methodology/approachSince the problem is multi-objective and NP-Hard, the heuristic algorithm NSGA-II is proposed for Pareto solutions and then the estimation of the parameters of the algorithm is described using the design of experiments. According to the review of th...

A New Multiechelon Mathematical Modeling for Pre- and Postdisaster Blood Supply Chain: Robust Optimization Approach

Discrete Dynamics in Nature and Society

Disaster management is one of the most important actions to protect the property and lives of the victims. Failure to pay attention to logistical decisions of disaster can have irreversible consequences. Therefore, a multiechelon mathematical model for blood supply chain management in disaster situations is proposed in this research. The proposed supply chain includes supplier, central warehouse, reliable distributor, unreliable distributor, distributor, and affected areas. How the proposed model performs is explained as follows: blood is sent from the supplier to warehouses and distribution centers. Also, the capacity of suppliers is limited. The main objective of the mathematical model is to minimize supply chain costs while maximizing the level of satisfaction in order to meet the demand of the affected area. Hence, this research seeks to decide whether or not to establish a reliable distributor, unreliable distributor, and central warehouse. The amount of blood sent to the cente...

Design of Blood Supply Chain and Application to Marmara Region in Turkey

European Journal of Engineering and Technology Research, 2019

Blood transfusion is needed due to operations, diseases or accidents. Millions of people's health depends on the success of their blood transfusion. Planning and management is required to supply blood, test against diseases, produce blood products, store t hem and transport them to hospitals. A blood supply chain network design such as Blood Donation Centers (CBM), Regional Blood Centers (RBC), Destruction Centers (DM), and hospitals are addressed. To formulate the problem, the General Algebraic Modeling System (GAMS) software was applied to the Mixed Integer Model. When the number of RBC in Marmara region decreased from 3 to 2, opening and transportation costs increased to 5.37million.WhenthenumberofRBCsincreasedfrom3to4,openingandtransportationcostsdecreasedto5.37 million. When the number of RBCs increased from 3 to 4, opening and transportation costs decreased to 5.37million.WhenthenumberofRBCsincreasedfrom3to4,openingandtransportationcostsdecreasedto3.94 million.

Modeling and optimization of a reliable blood supply chain network in crisis considering blood compatibility using MOGWO

Neural Computing and Applications, 2019

Due to the prominent role of blood in human life, designing an efficient blood supply chain in case of an emergency situation is essential especially considering blood compatibility. This research proposes a multi-objective model for emergency blood supply chain management considering blood compatibility, routing, and location-allocation decisions. The blood supply chain network consists of donors, collection facilities, laboratories, blood centers, and hospitals. The mathematical model aims to minimize total supply chain cost and time while maximizing minimum reliability of established routes by making decisions regarding location-allocation, blood flow, inventory levels, and optimal routes. In order to solve the problem, a novel algorithm called Multi-Objective Grey Wolf Optimizer is used and compared to two classical algorithms Multi-Objective Particle Swarm Optimization and Non-dominated Sorting Genetic Algorithm-II. Performance of the algorithms is evaluated in various test problems using powerful measures. Also, the application of the proposed model is investigated in a case study in Iran's capital, Tehran. Based on the results, important managerial insights are derived and optimal locations for facilities, inventory levels, routes and blood flow between facilities are determined.