Production, Manufacturing and LogisticsA comprehensive annual delivery program for upstream liquefied natural gas supply chain
Introduction
Natural gas (NG) is the third largest energy source satisfying approximately 25 percent of the world’s energy demand (BP Department, 2014b). Pipelines are the major delivery method in global NG trade. Although pipeline delivery is highly cost efficient over short distances, it is not technically feasible and economically viable when the supplier and customers are geographically spread. In such cases, NG is transported in the form of liquefied natural gas (LNG), utilizing special ocean-going vessels over long distances. Shipping NG in the form of LNG offers gas suppliers the ability to reach distant markets.
Global LNG trade has been steadily growing for the past two decades. Its share in the global NG trade increased from 26 percent in 2000 to 32 percent in 2013 (BP Department, 2014b). This share is expected to grow to 46 percent by 2035. Similarly, LNG accounts for 10 percent of the world’s NG consumption, which is expected to increase to 15 percent by 2035, according to BP Department (2014a). This increase in LNG demand, coupled with the increasing production and delivery capacities, has led to complex global LNG supply chains. Currently, global annual liquefaction capacity is 408 billion cubic meters (BCM), which is expected to increase to 1427 BCM when the construction of new liquefaction terminals is completed (Enerdata, 2014). On the shipping side, there are currently 405 LNG vessels with a total capacity of 59.5 million cubic meters (MCM); and 132 more vessels are currently being built to increase this capacity to 81 MCM (Enerdata, 2014).
Both the production and the delivery of LNG require significant capital investments and operating expenses. Capital cost of a liquefaction plant can be as high as 600 dollars per ton per annum production while capital cost of an LNG vessel ranges between 200 and 400 million dollars. Operational costs are also significant; the cost of daily vessel charters averaging around 60,000 dollars (Tusiani & Shearer, 2007). In light of these figures, the vast majority of global LNG trade needs long-term contracts to secure intensive capital investments in the LNG supply chain and ensure income stability for LNG suppliers. Meanwhile, due to price volatility across NG markets and excess LNG production, LNG spot market has been growing very rapidly. According to Kent (2013), the share of spot sales in the LNG trade has risen from 6 percent in 2000 to 25 percent in 2012.
In order to survive in such a dynamic and complex market, suppliers should carefully plan for LNG production, inventory, and delivery in a cost effective way. Planning problems arise at strategic, tactical, and operational decision levels: Strategic planning typically involves decisions regarding production and vessel investments as well as long-term contract terms and conditions. Tactical planning involves developing an integrated fulfill, inventory, and delivery plan for a period of 12-to-18 months to satisfy the long-term contracts’ requirements. This plan is called the annual delivery program (ADP). Finally, operational planning typically includes mitigations to planned or unplanned changes in the ADP such as vessel breakdowns, port unavailability, variations in travel times, and emerging spot sales opportunities.
In this paper, focusing on tactical planning, we study the problem of preparing a cost-effective ADP for a global LNG supplier. This is an integrated production, inventory, and maritime routing problem. The supplier operates a liquefaction plant, where NG is cooled to degree Fahrenheit and condensed into liquid form, which is called LNG production. The LNG is temporarily kept in storage tanks at a port near the liquefaction facility before it is loaded on LNG vessels. The supplier owns and/or charters a fleet of heterogeneous vessels that are used for delivering LNG to customers with long term contracts. For each customer, there are several contracts throughout a certain year, each of which comes with differing levels of flexibility in terms of delivery volume and time. In most practical cases, total annual long term contractual demand is less than the production capacity. Due to highly limited production changes and lack of facilities to store large amounts of LNG in storage tanks, there will usually be some excess production. Therefore, the ADP should also include a provisional plan for selling the excess production in the spot market.
In the ADP problem, we would like to minimize the sum of operating costs, penalty costs due to deviations from contractual terms, and penalty costs of handling excess production. We develop a novel heuristic method to create a cost effective ADP in a short amount of time. We then interpret the results from a comprehensive computational study to gain managerial insights.
There are a handful of studies that attempt to develop cost-effective ADPs, such as Halvorsen-Weare and Fagerholt (2013), Rakke et al. (2011) and Stälhane et al. (2012). Our main contributions in this study are incorporating many practical aspects of upstream LNG operations and LNG contracts into the ADP preparation problem and proving managerial insights regarding these aspects. Furthermore, we propose a novel and efficient heuristic solution approach for this problem, which can be used as a practical decision support tool by the logistics planners of LNG suppliers. This heuristic consistently outperforms commercial optimizers by finding less-costly ADPs in a considerably shorter amount time.
The remainder of this paper is organized as follows: in Section 2, we present a review of the relevant literature and discuss the contribution of our work. In Section 3, we describe the mathematical model and present the formulation. In Section 4, we introduce our heuristic method to construct an ADP. Finally, we present our numerical analysis in Section 5 and conclude with model extensions and further research directions in Section 6.
Section snippets
Literature review
Maritime transportation optimization, reviewed by Ronen (1983, 1993), Christiansen, Fagerholt, and Ronen (2004) and Christiansen, Fagerholt, Nygreen, and Ronen (2007, 2013), has long been an active and well-established area of research. The research focusing on integrated vessel scheduling and inventory management problems, referred to as maritime inventory routing problem (MIRP), are motivated by maritime supply chains in various industries where one actor is responsible for both distribution
ADP problem and the mathematical model
We aim to develop a minimum cost ADP for an LNG supplier given a certain planning horizon. In broad terms, an ADP is an integrated plan of production of LNG and distribution of it to the long-term contracted customers. In this section, we describe both the ADP problem and our associated mathematical model.
A typical ADP is developed for a planning horizon of twelve months. In our model, the planning horizon is discretized into days and we represent it by the set where T is the last
Vessel routing heuristic
Our numerical analysis reveals that for practical problem sizes, commercial solvers, such as CPLEX©, cannot provide even a feasible solution to our MIP formulation introduced in Section 3 within a reasonable run time. We also tested for fairly small problem instances, e.g., two vessels and four customers; and even these instances could not be solved optimally within 24 hours of run-time. Given this observation, we develop a novel vessel routing heuristic (VRH) that can quickly construct
Computational study
We conducted an extensive computational study with the aim of (i) assessing the performance of the proposed solution approach, (ii) analyzing the impact of various problem parameters on the solution quality, and (iii) quantifying the value of allowing for split-deliveries. For this purpose, we generated 18 problem instances using data from a commercial LNG trade database. We coded the mathematical model using C++ language with Xcode 6 IDE with IBM ILOG Concert Technology and solved the MIP
Conclusions
Developing a cost effective ADP in the upstream LNG supply chains is a fairly challenging task for LNG suppliers. As opposed to earlier studies, our study incorporates many practical aspects of this planning problem. Furthermore, we propose a novel and efficient heuristic solution approach for this problem that can be used as a practical decision support tool by the logistic planners of LNG suppliers. As the extensive computational work in this study reveals, our proposed heuristic approach can
Acknowledgment
This research was made possible by the NPRP award NPRP 4-453-5-059 from the Qatar National Research Fund (a member of The Qatar Foundation). The statements made herein are solely the responsibility of the authors.
References (40)
- et al.
Transportation planning and inventory management in the LNG supply chain
- et al.
Ship routing and scheduling in the new millennium
European Journal of Operational Research
(2013) - et al.
Ship routing and scheduling: status and perspectives
Transportation Science
(2004) Marine transportation of LNG
Proceedings of the paper presented at Intertanko Conference
(2004)- et al.
A branch-and-price method for a liquefied natural gas inventory routing problem
Transportation Science
(2010) - Kent, S. (2013). Spot market for liquefied natural gas takes shape....
- Papageorgiou, D. J., Cheon, M.-S., Nemhauser, G. Sokol, J. (2014a). Approximate dynamic programming for a class of...
- et al.
A new formulation based on customer delivery patterns for a maritime inventory routing problem
Transportation Science
(2014) - et al.
A rolling horizon heuristic for creating a liquefied natural gas annual delivery program
Transportation Research Part C
(2011) Ship scheduling: the last decade
European Journal of Operational Research
(1993)
Marine inventory routing: shipments planning
Journal of the Operational Research Society
A hybrid heuristic strategy for liquefied natural gas inventory routing
Transportation Research Part C: Emerging Technologies
A maritime inventory routing problem: practical approach
Computers and Operations Research
LNG: a nontechnical guide
Guidance notes on strength assessment of membrane-type LNG containment systems under sloshing loads
A maritime inventory routing problem: discrete time formulations and valid inequalities
Networks
Mixed integer formulations for a short sea fuel oil distribution problem
Transportation Science
Inventory constrained maritime routing and scheduling for multi-commodity liquid bulk, part I: applications and model
European Journal of Operational Research
A new decomposition algorithm for a liquefied natural gas inventory routing problem
International Journal of Production Research
BP statistical review of world energy, June 2014
Technical report
Cited by (32)
A branch-and-price heuristic algorithm for the bunkering operation problem of a liquefied natural gas bunkering station in the inland waterways
2023, Transportation Research Part B: MethodologicalCitation Excerpt :They designed a heuristic algorithm for obtaining high-quality solutions in a reasonable computational time. As a follow-up to the work of Mutlu et al. (2016), Al-Haidous et al. (2016) proposed a new mixed-integer programming (MIP) model that captures several important factors, including terminal inventory, berth availability, LNG bunkering requirements, and planned maintenance. In their computational experiments, the instances with a 373-day planning horizon and 118 cargoes can be solved effectively.
The Fish Feed Production Routing Problem
2022, Computers and Operations ResearchCitation Excerpt :Along with the inventory-constrained central depot structure, these characteristics instead represent similarities to the FFPRP. However, the ADP problem denotes a tactical problem, with a typical planning horizon of 12 to 18 months (Mutlu et al., 2016). In contrast, the FFPRP focuses on operational decisions with a planning horizon of up to two weeks.
Strategic interactions between liquefied natural gas and domestic gas markets: A bilevel model
2022, Computers and Operations ResearchOptimal Liquefied Natural Gas (LNG) Annual Delivery Program Reflecting both Supplier and Customer Perspectives
2022, Computer Aided Chemical EngineeringPlanning a maritime supply chain for liquefied natural gas under uncertainty
2022, Maritime Transport ResearchCitation Excerpt :At the operational planning level, there are for example several studies on the LNG maritime inventory routing problem, e.g., Grønhaug and Christiansen (2009), Fodstad et al. (2010) and Andersson et al. (2010). The planning of an Annual Delivery Program (ADP) is an important planning problem at the tactical level and consists of scheduling the LNG deliveries to a set of customers for the next year, e.g., Rakke et al. (2011), Stålhane et al. (2012), Al-Haidous et al. (2016), Mutlu et al. (2016) and Andersson et al. (2017). However, in what follows we focus on studies for the strategic design of an LNG supply chain, which is most relevant for the planning problem we consider in this paper.