Integrated optimization model for hierarchical service network design and passenger assignment in an urban rail transit network: A Lagrangian duality reformulation …

P Shang, L Yang, Y Yao, LC Tong, S Yang… - … Research Part C …, 2022 - Elsevier
This study solves an integrated operational problem regarding hierarchical service network
design and passenger assignment for urban rail transit systems. We propose an innovative …

Fixed charge solid transportation problem in uncertain environment and its algorithm

B Zhang, J Peng, S Li, L Chen - Computers & Industrial Engineering, 2016 - Elsevier
In this paper, the fixed charge solid transportation problem under uncertainty is investigated.
As a result, three mathematical models are constructed for the problem, ie, expected value …

A study of multi-objective restricted multi-item fixed charge transportation problem considering different types of demands

A Biswas, LE Cárdenas-Barrón, AA Shaikh… - Applied Soft …, 2022 - Elsevier
In this paper, we formulate a multi-objective fixed charge transportation problem (FCTP) for
multiple items, considering availability of multiple modes of transport along each pair of …

Multi-objective non-linear fixed charge transportation problem with multiple modes of transportation in crisp and interval environments

A Biswas, AA Shaikh, STA Niaki - Applied Soft Computing, 2019 - Elsevier
This paper aims to propose an approach based on NSGA-II for solving multi-objective non-
linear fixed charge transportation problem with multiple modes of transport in crisp and …

An improved quadratic approximation-based Jaya algorithm for two-echelon fixed-cost transportation problem under uncertain environment

R Das, KN Das, S Mallik - Soft Computing, 2022 - Springer
The objective of a fixed-cost transportation problem (FCTP) is to minimize the total
transportation cost (or to maximize the total profit). FCTPs become more complex due to the …

[HTML][HTML] A fast and simple branching algorithm for solving small scale fixed-charge transportation problem

K Kowalski, B Lev, W Shen, Y Tu - Operations Research Perspectives, 2014 - Elsevier
In this paper, we develop a simple algorithm for obtaining the global solution to a small scale
fixed-charge transportation problem (FCTP). The procedure itself is very quick. The …

An uncertain two-echelon fixed charge transportation problem

J Shen, K Zhu - Soft Computing, 2020 - Springer
In the present study, a two-echelon fixed charge transportation problem is investigated
under uncertainty. Due to the existence of considerable amount of uncertainties, the …

Solving fixed-charge transportation problem using a modified particle swarm optimization algorithm

G Singh, A Singh - International Journal of System Assurance Engineering …, 2021 - Springer
Abstract Particle Swarm Optimization (PSO) has emulated the social behaviour of some
animals such as a flock of birds and a school of fish, searching for food. This communicative …

An Approximation Approach for Fixed-Charge Transportation-p-Facility Location Problem

SK Das, SK Roy - International conference on logistics and supply chain …, 2020 - Springer
This chapter describes a single-objective, multi-facility, location model for a logistics
network, whose aim is to support the economical aspect. In this work, a new variant of the …

Improved Lagrangian-relaxation based approaches for multi-period multi-stage fixed charge transportation problem

SA Ezhil, C Rajendran, S Srinivas - International Journal of …, 2023 - Taylor & Francis
This paper considers the Fixed-Charge Transportation Problem (FCTP), which spans
multiple time periods and includes multiple stages, termed as Multi-Period, Multi-Stage …